Model of Preformed Hole-Pairs in c-Axis Transport in Cuprate Superconductors

DOI: 10.4236/wjcmp.2012.24039   PDF   HTML     4,059 Downloads   6,225 Views   Citations


Model of hole-pairs in electrical transport along ab plane in cuprate superconductors has already been proposed. It has been found to be in the shape of 3dx2–y2 orbital of an electron in an atom. This time, model of hole-pairs in transport along c-axis in cuprate superconductors is proposed. In ab-plane, hole-pairs are formed along CuO2 plane; one hole-pair covering 9 - 10 two dimensional CuO2 unit cells in 3dx2–y2 configuration. In the investigation of c-axis hole-pairs, cuprate superconductors have been sub-divided into three categories depending on the number of CuO2 planes/formula unit. There is a little different treatment for finding out the order parameter in each category. Coherence lengths along ab-planes are of the order of a few tens of Angstroms, whereas along c-axis, they are less than even their a-, b-lattice constants. In cuprates with 2 or 3 CuO2 planes, the order parameter is of 3dz2–x2 type in zx-plane with lobes along both the axes much constrained. For cuprates with a single CuO2 layer, the order parameter is of 3dx2–y2 type, but its dimensions are less than a-, b-lattice constants.

Share and Cite:

R. Singh, "Model of Preformed Hole-Pairs in c-Axis Transport in Cuprate Superconductors," World Journal of Condensed Matter Physics, Vol. 2 No. 4, 2012, pp. 228-236. doi: 10.4236/wjcmp.2012.24039.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] R. J. Singh, “Preformed Hole Pairs in Cuprate Superconductors,” International Journal of Modern Physics B, Vol. 23, No. 1, 2009, pp. 53-76.
[2] R. J. Singh, “Model of Preformed Hole-Pairs in Cuprate Superconductors,” Journal of Modern Physics, Vol. 2, No. 8, 2011, pp. 53-76.
[3] A. Punnoose, B. P. Maurya, J. Mathew, M. Umar, M. I. Haque and R. J. Singh, “EPR Observation of Cu2+-Cu2+ Pairs in Cupric Oxide Powders,” Solid State Communications, Vol. 88, No. 3, 1993, pp. 195-198.
[4] R. J. Singh, A. Punnoose, J. Mathew, B. P. Maurya, et al., “S = 1 and S = 2 EPR Signals in Modified CuO and BaCuO2,” Physical Review B, Vol. 49, No. 2, 1994, pp. 1346-1349. doi:10.1103/PhysRevB.49.1346
[5] R. J. Singh, M. Ikram, A. Punnoose, B. P. Maurya and S. Khan, “Copper Tetramers in High-Temperature Superconductors,” Physics Letters A, Vol. 208, No. 4, 1995, pp. 369-374.
[6] A. Punnoose and R. J. Singh, “EPR Studies of High-Tc Superconductors and Related Systems,” International Journal of Modern Physics, Vol. 9, No. 10, 1995, pp. 1123-1157. doi:10.1142/S0217979295000471
[7] S. Khan, M. Ikram, A. Singh and R. J. Singh, “EPR Study of Deoxygenated La2CuO4,” Physica C, Vol. 281, No. 2-3, 1997, pp. 143-148. doi:10.1016/S0921-4534(97)00328-6
[8] S. Khan, A. Singh and R. J. Singh, “EPR Study of La2-xSrxCuO4 [M = Ba,Sr],” Solid State Communications, Vol. 106, No. 9, 1998, pp. 621-626.
[9] S. Khan, A. Singh and R. J. Singh, “EPR Study of La1.854Sr0.146CuO4,” Physica C, Vol. 325, 1999, pp. 165-172. doi:10.1016/S0921-4534(99)00513-4
[10] R. J. Singh, P. K. Sharma, A. Singh and S. Khan, “EPR Spectra of Deoxygenated High Temperature Superconductors,” Physica C, Vol. 356, No. 4, 2001, pp. 285-296. doi:10.1016/S0921-4534(01)00283-0
[11] Q. B. Meng, Z. J. Wu and S. Y. Zhang, “Evaluation of the Energy Barrier Distribution in Many-Particle Systems Using the Path Integral Approach,” Journal of Physics: Condensed Matter, Vol. 10, No. 5, 1998, pp. L85-L88.
[12] P. C. Dai, H. A. Mook, G. Aeppli, S. M. Hayden and F. Dogan, “Resonance as a Measure of Pairing Correlations in the High-Tc Superconductor YBa2Cu3O6.6,” Nature, Vol. 406, No. 6799, 2000, pp. 965-968. doi:10.1038/35023094
[13] N. Kumar, T. P. Pareek and A. M. Jayannavar, “Normal State c-Axis Resistivity of the High-Tc Cuprate Superconductors,” 1997.
[14] N. Kumar, “The Zeno Effect and Interlayer Pairing Mechanism for High Temperature Superconductivity in Layered Materials,” 2000.
[15] N. Kumar and A. M. Jayannavar, “Temperature Dependence of the c-Axis Resistivity of High-Tc Layered Oxides,” Physical Review B, Vol. 45, No. 9, 1992, pp. 5001- 5004.
[16] K. Takenaka, M. Mizuhasi, H. Takagi and S. Uchida, “Interplane Charge Transport in YBa2Cu3O7-y,” Physical Review B, Vol. 50, No. 9, 1994, pp. 6534-6537.
[17] Y. C. Ma, J. W. Liu, H. W. Lu and H. L. Zheng, “Out of Plane Temperature Dependent Resistivity Studies on Tl-Based Superconductors,” Journal of Physics: Condensed Matter, Vol. 19, No. 18, 2007, pp. 186203-186209. doi:10.1088/0953-8984/19/18/186203
[18] R. Jin, D. P. Grandatto and H. R. Rott, “Normal State Resistivity of Superconducting Bi1.95Sr1.65La0.4CuO6+δ,” Physica C, Vol. 250, No. 3, 1995, pp. 395-402. doi:10.1016/0921-4534(95)00369-X
[19] A. J. Legget, “Cuprate Superconductivity: Dependence of Tc on the c-Axis Layering Structure,” Physical Review Letters, Vol. 83, No. 2, 1999, pp. 392-395. doi:10.1103/PhysRevLett.83.392
[20] R. Lal, Ajay, R. L. Hotta and S. K. Joshi, “Model for c-Axis Resistivity in Cuprate Superconductors,” Physical Review B, Vol. 75, No. 10, 1998, pp. 6126-6136.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.