<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">AMPC</journal-id><journal-title-group><journal-title>Advances in Materials Physics and Chemistry</journal-title></journal-title-group><issn pub-type="epub">2162-531X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ampc.2014.411026</article-id><article-id pub-id-type="publisher-id">AMPC-51692</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Electrical Properties of the Al/CuInSe&lt;sub&gt;2&lt;/sub&gt; Thin Film Schottky Junction
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>.</surname><given-names>Hamrouni</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>M.</surname><given-names>F. Boujmil</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>K.</surname><given-names>Ben Saad</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>College of Science and Art at Rass, Qassim University, Qassim, Saudi Arabia</addr-line></aff><aff id="aff2"><addr-line>Laboratoire de Photovolta&amp;amp;iuml;que, Centre de Recherches et des Technologies de l’Energie, Technopole de Borj-Cédria, Hammam-Lif, Tunisia</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>sahbihamrouni82@yahoo.fr(.H)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>07</day><month>11</month><year>2014</year></pub-date><volume>04</volume><issue>11</issue><fpage>224</fpage><lpage>235</lpage><history><date date-type="received"><day>8</day>	<month>September</month>	<year>2014</year></date><date date-type="rev-recd"><day>23</day>	<month>October</month>	<year>2014</year>	</date><date date-type="accepted"><day>9</day>	<month>November</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The Schottky diode (Al/p-CuInSe
  <sub>2</sub>/FTO) was fabricated by simple deposition of pure Aluminum on the front side of the CuInSe
  <sub>2</sub> thin film. We have investigated its electrical characteristics by measuring the current-voltage (I-V), the capacitance-voltage (C-V) and the electrical impedance in the range of temperature (300 K - 425 K). At room temperature, this heterostructure has shown non-ideal Schottky behavior with 3.98 as ideality factor and 38 μA/cm
  <sup>2</sup> as a reverse saturated current 
  density. The C-V measured at 100 kHz has shown non-linear behavior and an increase with temperature. Similarly, we have estimated, at room temperature, the carrier doping density, the built-in potential and the depletion layer width which are of about 8.66 &#215; 10
  <sup>15</sup> cm
  <sup>﹣3</sup>, 1.12 V and 0.37 μm 
  respectively. By the impedance spectroscopy technique, we have found a decrease with temperature of all the serial resistance 
  R<sub>s</sub>, the parallel resistance 
  R<sub>p</sub> and the capacitance 
  C<sub>p</sub>. The frequency dependence of the imaginary part of this impedance was carried out to characterize the carrier transport properties in the heterostructure. From the Arrhenius diagram, we have estimated the activation energy at 460 meV. An equivalent electrical circuit was used for modeling these results.
 
</p></abstract><kwd-group><kwd>Schottky Junction</kwd><kwd> CuInSe&lt;sub&gt;2&lt;/sub&gt; Thin Films</kwd><kwd> IV and CV Characteristics</kwd><kwd> Impedance Spectroscopy</kwd><kwd> Temperature Effects</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Photovoltaic (PV) effect was discovered in 1839, but it remained a laboratory curiosity until the mid 1950s when USA space program attempted to power satellites with PV cells. In 1954, single crystal silicon (sc-Si) PV cells of 6% efficiency were reported at Bell Laboratories [<xref ref-type="bibr" rid="scirp.51692-ref1">1</xref>] . During the energy crisis of the early 1970s, both public and private sectors became interested in applications of PV energy generation. Initial efforts focused on lowering the cost of sc-Si solar cell modules since the basic technology already was well developed [<xref ref-type="bibr" rid="scirp.51692-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref3">3</xref>] , While polycrys- talline silicon (pc-Si) solar cell module technology was introduced to further lower manufacturing costs. However, its cost advantages were confronted by its lower efficiency which was approximately equal to 9.2% [<xref ref-type="bibr" rid="scirp.51692-ref4">4</xref>] . To respond to the potential demand in the power generation market, research and development efforts were shifted gradually to other polycrystalline thin film material systems like ternary chalcopyrite semiconductors (CuInSe<sub>2</sub>, CuGaSe<sub>2</sub>, AgInSe<sub>2</sub>, etc.) which gave efficiency from 6% to 16% [<xref ref-type="bibr" rid="scirp.51692-ref5">5</xref>] - [<xref ref-type="bibr" rid="scirp.51692-ref9">9</xref>] . These materials systems are being considered seriously as the basis of PV module future technologies for terrestrial power generation. On the other hand, several techniques have been actually used for the preparation of chalcopyrite films. We can mention some of them as electrodeposition [<xref ref-type="bibr" rid="scirp.51692-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref11">11</xref>] , flash evaporation [<xref ref-type="bibr" rid="scirp.51692-ref12">12</xref>] , r.f. sputtering [<xref ref-type="bibr" rid="scirp.51692-ref13">13</xref>] , thermal evaporation [<xref ref-type="bibr" rid="scirp.51692-ref14">14</xref>] , solution growth [<xref ref-type="bibr" rid="scirp.51692-ref15">15</xref>] , hot press [<xref ref-type="bibr" rid="scirp.51692-ref16">16</xref>] , hot wall method [<xref ref-type="bibr" rid="scirp.51692-ref17">17</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref18">18</xref>] and pulse laser ablation [<xref ref-type="bibr" rid="scirp.51692-ref19">19</xref>] and so on.</p><p>Although metal-semiconductor (MS) contacts are the most used as rectifying contacts for the fabrication of electronic devices, they are frequently used in solar cells, in light detectors and in integrated circuits [<xref ref-type="bibr" rid="scirp.51692-ref20">20</xref>] - [<xref ref-type="bibr" rid="scirp.51692-ref26">26</xref>] . The performance and the reliability of a Schottky diode are considerably influenced by the quality of the interface between the deposited metal and the contact surface of the semiconductor [<xref ref-type="bibr" rid="scirp.51692-ref27">27</xref>] . The most important physical pa- rameters characterizing this junction are its potential barrier and its ideality factor. The existence of native oxide layer in its interface has a direct effect on the carrier charges transport and modifying the electrical properties [<xref ref-type="bibr" rid="scirp.51692-ref28">28</xref>] . The Schottky junction Al/CuInSe<sub>2</sub> is one of the simplest MS contact devices. The p-type junctions, like p-CuInSe<sub>2</sub>, have been analyzed and have given useful information concerning the effects of the physical defects on the electrical carrier transport through the junctions [<xref ref-type="bibr" rid="scirp.51692-ref29">29</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref30">30</xref>] . As proved experimentally, most of these junc- tions have an electrical behavior close to the theoretical ideal thermionic emission current model usually used [<xref ref-type="bibr" rid="scirp.51692-ref31">31</xref>] - [<xref ref-type="bibr" rid="scirp.51692-ref36">36</xref>] , although the study of the temperature dependence on the current-voltage (IV) and the capacitance- voltage (CV) characteristics of these junctions gives more detailed information about their conduction processes and the nature of the potential barrier [<xref ref-type="bibr" rid="scirp.51692-ref37">37</xref>] - [<xref ref-type="bibr" rid="scirp.51692-ref43">43</xref>] .</p><p>In this work, we have fabricated the Schottky junction Al/p-CuInSe<sub>2</sub> by electrodeposition technique to inves- tigate the dominant current transport conduction mechanisms. The temperature dependence of the current-voltage, capacitance-voltage characteristics and the impedance measurements were analyzed in order to understand the effects of interface and the thermionic emission mechanism on this Schottky junction.</p></sec><sec id="s2"><title>2. Experimental Details</title><p>The CIS (CuInSe<sub>2</sub>) films have been electrodeposited on FTO substrates and treated at 400˚C in vacuum during 20 min as described in our previous works [<xref ref-type="bibr" rid="scirp.51692-ref10">10</xref>] . In order to form the Al/p-CIS/FTO Schottky junction, alumi- num electrodes were evaporated on this structure as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, following by an annealing in air at dif- ferent temperature varying in the range 50˚C - 125˚C.</p><p>Their electrical properties were tested by using the AC/DC Keithley Instrument Model 4200-SCS Semicon- ductor Characterization System by measuring their I-V, C-V and their electrical impedances which were per- formed with a sweep of voltage.</p></sec><sec id="s3"><title>3. Results and Discussion</title><sec id="s3_1"><title>3.1. Current-Voltage Characteristics</title><p>Schottky barriers on semiconductor are of interest not only because of their applications as rectifying contacts but also due to the insight they afford into the nature of bounding and defect levels in solids. Generally, it is as- sumed that the forward bias current of the Schottky diodes is due to thermionic emission mechanism.</p><p>The theoretical current?voltage characteristic of the p?n junction diode is given by the following known rela- tionship [<xref ref-type="bibr" rid="scirp.51692-ref44">44</xref>] :</p><disp-formula id="scirp.51692-formula2"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x6.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x7.png" xlink:type="simple"/></inline-formula> is the carrier unit charge, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x8.png" xlink:type="simple"/></inline-formula>is the reverse saturation current, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x9.png" xlink:type="simple"/></inline-formula>the applied voltage, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x10.png" xlink:type="simple"/></inline-formula>the serial</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> The structure of Al/p-CIS/FTO Schottky junction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x11.png"/></fig><p>resistance, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x12.png" xlink:type="simple"/></inline-formula>the absolute temperature and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x13.png" xlink:type="simple"/></inline-formula> the ideality factor.</p><p>Experimentally, the current-voltage characteristic studied under forward and reverse bias conditions of the Al/p-CIS/FTO junction in dark and at room temperature is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. The rectifying behavior confirms that this junction acts like a Shottky diode.</p><p>The approximated Equation (1) up to the threshold potential can be written in the following logarithmic form:</p><disp-formula id="scirp.51692-formula3"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x14.png"  xlink:type="simple"/></disp-formula><p><xref ref-type="fig" rid="fig3">Figure 3</xref> shows, at room temperature, the I-V characteristic which shows the reverse current saturation about 38 &#181;A.</p><p>Moreover, the differentiation of the last equation may provide the following form:</p><disp-formula id="scirp.51692-formula4"><graphic  xlink:href="http://html.scirp.org/file/2-1510310x15.png"  xlink:type="simple"/></disp-formula><p><xref ref-type="fig" rid="fig4">Figure 4</xref> illustrates, at room temperature, this variation versus the current density I. It has, in fact, a linear behavior and we can easily extract both the serial resistance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x16.png" xlink:type="simple"/></inline-formula> and the ideality factor n which are estimated to be 137.5 Ω and 3.98 respectively. This last one has high value than the ideal factor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x17.png" xlink:type="simple"/></inline-formula> which is possibly due to the potential drop and the recombination current traversing the interfacial layer [<xref ref-type="bibr" rid="scirp.51692-ref37">37</xref>] .</p></sec><sec id="s3_2"><title>3.2. Capacitance-Voltage Measurements</title><p>The depletion layer capacitance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x18.png" xlink:type="simple"/></inline-formula> per unit area can be given by the known expression:</p><disp-formula id="scirp.51692-formula5"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x19.png"  xlink:type="simple"/></disp-formula><p>where, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x20.png" xlink:type="simple"/></inline-formula>is the dielectric constant of semiconductor, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x21.png" xlink:type="simple"/></inline-formula>the applied voltage, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x22.png" xlink:type="simple"/></inline-formula>the carrier acceptors con- centration and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x22.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x23.png" xlink:type="simple"/></inline-formula> is the built-in potential in semiconductor devices which is equal to the potential across the depletion region in thermal equilibrium.</p><p>In dark, the capacitance-voltage C<sup>−2</sup>-V in the reverse bias voltage, at different temperatures and at 100 kHz, was studied. It is clear from <xref ref-type="fig" rid="fig5">Figure 5</xref> that at reverse bias (V ≤ −3 Volts) the capacitance is bias dependent which indicates that the junction is fully depleted. As the bias increases, a locally linear behavior is obtained for all temperatures.</p><p>According to Equation (3), we have extracted from <xref ref-type="fig" rid="fig6">Figure 6</xref> the built-in potential <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x24.png" xlink:type="simple"/></inline-formula> and the carrier accep- tors concentration <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x24.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x25.png" xlink:type="simple"/></inline-formula> at different temperatures for Al/p-CuInSe<sub>2</sub> Schottky junction. We can see that the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x24.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x26.png" xlink:type="simple"/></inline-formula> decrease when the temperature increases and lies between 1.12 and 0.21 V and these results are comparable with other works in literatures [<xref ref-type="bibr" rid="scirp.51692-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref45">45</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref46">46</xref>] . While, the carrier doping density <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x24.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x27.png" xlink:type="simple"/></inline-formula> value is slightly increased with temperature and varied from 8.66 &#215; 10<sup>15</sup> cm<sup>−3</sup> at 300 K to 1.57 &#215; 10<sup>16</sup> cm<sup>−3</sup> at 425 K. We note that the effective carrier concentration in this thin Schottky film is in order of 10<sup>15</sup> cm<sup>−3</sup>. These results are also in good agreement with those reported by Zhang et al. and other authors [<xref ref-type="bibr" rid="scirp.51692-ref47">47</xref>] - [<xref ref-type="bibr" rid="scirp.51692-ref49">49</xref>] .</p><p>Thus, the annealing of the junction modifies the electrical properties in the layers. This can be attributed to the presence of the interfacial thin native oxide layer between the metal and semiconductor [<xref ref-type="bibr" rid="scirp.51692-ref50">50</xref>] or by the inter-dif- fusion between the metal layer and the CIS film and may be also due to the existence of a trap centers in the junction [<xref ref-type="bibr" rid="scirp.51692-ref51">51</xref>] [<xref ref-type="bibr" rid="scirp.51692-ref52">52</xref>] .</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Experimental current-voltage characteristic of Al/p-CIS junction at room temperature</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x28.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> The logarithm of the current density ln(I) vs. the forward bias voltage (V) of The Al/p-CIS Schottky junction at room temperature</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x29.png"/></fig><p>In addition, the defects in semiconductor material play an important role as traps or as recombination centers depending on the capture cross section of the electrons and holes. Due to these defects and to the presence of deep impurities in the depletion region, the rectifying contact capacitance may be varying. The rectifying devic- es’ traps reduce the free carrier density whereas recombination centers produce generation-recombination current. When the temperature increases, there is a decrease of the built-in potential <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x30.png" xlink:type="simple"/></inline-formula> and an increase of the carrier concentration <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x31.png" xlink:type="simple"/></inline-formula> (<xref ref-type="fig" rid="fig6">Figure 6</xref>). This effect may be attributed to the effect of traps [<xref ref-type="bibr" rid="scirp.51692-ref53">53</xref>] .</p><p>It is known that the depletion layer width, formed in the junction, of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x32.png" xlink:type="simple"/></inline-formula>-side of the metal is much smaller than the p-side of the semiconductor and can be neglected, and then the layer width <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x32.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x33.png" xlink:type="simple"/></inline-formula> is only reduced to the p-side region and is given by the following expression:<sub> </sub></p><disp-formula id="scirp.51692-formula6"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x34.png"  xlink:type="simple"/></disp-formula><p>The potential difference <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x35.png" xlink:type="simple"/></inline-formula> between the Fermi level and the top of the valence band in the CIS can be ob- tained by the following relationship:</p><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x37.png" xlink:type="simple"/></inline-formula>versus the current density at room temperature for Al/p-CIS Schottky junction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x36.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> C<sup>−2</sup>?V of the Al/p-CIS Schottky junction at different temperatures</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x38.png"/></fig><disp-formula id="scirp.51692-formula7"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x39.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x40.png" xlink:type="simple"/></inline-formula> is effective density of states in the valence band of the CIS (1.5 &#215; 10<sup>19</sup> cm<sup>−3</sup> [<xref ref-type="bibr" rid="scirp.51692-ref54">54</xref>] ).</p><p>Thus, the barrier height value for the Al/p-CuInSe<sub>2</sub> device is calculated by:</p><disp-formula id="scirp.51692-formula8"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x41.png"  xlink:type="simple"/></disp-formula><p><xref ref-type="fig" rid="fig7">Figure 7</xref> shows the variation of the layer width and the barrier height with temperature. We observe that the depletion layer width W decreases with increasing temperature due to the increasing of the carrier density<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x42.png" xlink:type="simple"/></inline-formula>.</p><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Temperature dependence of V<sub>0</sub> and N<sub>A</sub> for the Al/p-CIS Schottky junction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x43.png"/></fig><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> The depletion layer width W and the barrier height <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x45.png" xlink:type="simple"/></inline-formula> of the Al/p- CIS junction as a function of the temperature</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x44.png"/></fig></sec><sec id="s3_3"><title>3.3. Impedance Spectroscopy</title><p>The impedance spectra of the Al/p-CIS/FTO heterostructure at zero bias for various temperatures are shown in <xref ref-type="fig" rid="fig8">Figure 8</xref>. The electrical response can be ﬁtted as an equivalent AC circuit composed by a single parallel resistor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x46.png" xlink:type="simple"/></inline-formula> and capacitor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x47.png" xlink:type="simple"/></inline-formula> network connected to a serial resistor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x47.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x48.png" xlink:type="simple"/></inline-formula> as shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>. Its real and imaginary impedance parts <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x47.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x48.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x49.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x47.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x48.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x49.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x50.png" xlink:type="simple"/></inline-formula> may be written as:</p><disp-formula id="scirp.51692-formula9"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x51.png"  xlink:type="simple"/></disp-formula><p>The values of the serial resistance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x52.png" xlink:type="simple"/></inline-formula> and the total resistance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x53.png" xlink:type="simple"/></inline-formula> are obtained from the low and high frequency intercepts on the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x54.png" xlink:type="simple"/></inline-formula> axis respectively. The value of the capacitance was found to be slightly fre- quency dependent. <xref ref-type="fig" rid="fig1">Figure 1</xref>0 and <xref ref-type="fig" rid="fig1">Figure 1</xref>1 illustrate the evolution of the equivalent circuit parameters as a function with temperature. It can be observed that all the serial and the parallel resistances and the capacitance decrease with increasing temperature due probably the improvement of the junction structure.</p><p>We mention different results for the serial resistance values obtained by the two different methods, from (DC)</p><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Nyquist diagram of a Al/p-CIS heterojunction at different temperatures</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x55.png"/></fig><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> Equivalent circuit for Al/p-CIS Schottky Diode. R<sub>s</sub> represents the series resistance, R<sub>p</sub> the parallel resistance and C the capacitance</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x56.png"/></fig><fig id="fig10"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>0</label><caption><title> The variation of the series resistance and parallel resistance for different temperatures of Al/p-CIS Schottky diode</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x57.png"/></fig><p>I-V and from (AC) impedancemetry, which are respectively 173.5 Ω and 622.5 Ω at room temperature. The first value is different from the second one and this difference is due to the insufficiency of the conduction model where we don’t have take account to the different diffusion processes of the carriers.</p><p>In fact, by introducing the previous values of<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x58.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x59.png" xlink:type="simple"/></inline-formula>and C in the theoretical real and imaginary part of the</p><fig id="fig11"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>1</label><caption><title> The variation of the space-charge capacitance vs. temperature for Al/p- CIS Schottky Diode</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x60.png"/></fig><p>complex impedance, we have found a good ﬁtting in the range of frequencies 1 kHz to 10 MHz as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>2 for 300 K. This result is also verified for the other chosen temperatures.</p><p>When increasing the temperature, the cut-off frequency of the imaginary part of the impedance, shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>3, shifts towards the higher frequencies, and satisfies the theoretical model of the hole traps interacting with the valence band [<xref ref-type="bibr" rid="scirp.51692-ref55">55</xref>] :</p><disp-formula id="scirp.51692-formula10"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1510310x61.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x62.png" xlink:type="simple"/></inline-formula> is the dimensionless quantity related to the degeneracy factor of the trap and the ﬁxed charge within the depletion region, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x63.png" xlink:type="simple"/></inline-formula>the average thermal velocity of the holes in the valence band, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x64.png" xlink:type="simple"/></inline-formula>the capture cross- section of the trap and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x65.png" xlink:type="simple"/></inline-formula> is the energy difference between the trap level and the valence band. <xref ref-type="fig" rid="fig1">Figure 1</xref>4 shows the Arrhenius diagram of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x65.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x66.png" xlink:type="simple"/></inline-formula> versus the inverse of temperature which is linear and proportional to the Activation energy <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x65.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x66.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x67.png" xlink:type="simple"/></inline-formula> estimated to 0.46 eV.</p></sec></sec><sec id="s4"><title>4. Conclusions</title><p>The Al/CIS/FTO heterojunction was fabricated and studied by using I-V, C-V and impedance measurements in the range of temperature 300 K - 425 K. The rectifying behavior confirms that this junction behaves as a Schottky diode with p-type absorber layer. The high value found for the ideality factor is probably due to both the poten- tial drop and the recombination through the interfacial layer. C-V measurements reveal that the carrier concentration of annealed CIS films is in the order of 10<sup>15</sup> cm<sup>−3</sup>. In addition, we have observed that the depletion layer width and the barrier height decrease with temperature. We have also given, from the impedance spectra, the electrical equivalent circuit and we have found that their parameters (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x68.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x68.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x69.png" xlink:type="simple"/></inline-formula>and C) decrease when annealing temperature increases. Two different results, for the serial resistance<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x68.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x69.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1510310x70.png" xlink:type="simple"/></inline-formula>, have been deduced from the DC and AC measurements. This difference is due to the insufficiency of the conduction model where we don’t have taken into account the different diffusion processes and the existence of trap levels.</p><p>The study on temperature of our junction shows some information in transport phenomenon. It shows the quality of the interface between thin layers. Those results are favorable for preparing thin film solar cells with p-CIS as absorber layer. In addition, the electrodeposited absorber layer of CuInSe<sub>2</sub> has shown good stability with weak resistance in the interface. Such heterojunction fabrication processes will significantly help the realization of low-cost thin films and this technique may be concurrent to other ones because it is economic, technologically simple and allows the possibility of deposition over large surface areas for the PV solar cells fabrication.</p><fig id="fig12"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>2</label><caption><title> Comparison of the experimental and the theoretical Nyquist diagram at ambient temperature</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x71.png"/></fig><fig id="fig13"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>3</label><caption><title> Variation of the cut-off frequency of the imaginary part ?Z&quot; at various temperatures</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x72.png"/></fig><fig id="fig14"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>4</label><caption><title> Arrhenius diagram of the cut-off frequency</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1510310x73.png"/></fig></sec><sec id="s5"><title>Acknowledgements</title><p>This work was ﬁnanced by the “Ministere de l’ Enseignement Superieur de Tunis” and by “Qassim University, Kingdom of Saudi Arabia” on the project No. 1504.</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.51692-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Singh, J. and Shimakawa, K. 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