// alert("22"); // $.funkyUI({url:webUrl,css:{width:"600",height:"500"}}); // } //window.onload = pdfdownloadjudge;
JMP> Vol.4 No.6A, June 2013
Share This Article:
Cite This Paper >>

A Numerical Study of the Effect of Disorder on Optical Conductivity in Inhomogeneous Superconductors

Abstract Full-Text HTML XML Download Download as PDF (Size:224KB) PP. 14-16
DOI: 10.4236/jmp.2013.46A004    3,115 Downloads   4,455 Views  
Author(s)    Leave a comment
Long He, Jian Sun, Cunjun Yang, Yun Song


Department of Physics, Beijing Normal University, Beijing, China.


We present the effect of disorder on the optical conductivity of two-dimensional inhomogeneous superconductors by applying the kernel polynomial method to solve the Bogoliubov-de Gennes equations. By means of the lattice size scaling of the generalized inverse participation ratio, we find that the localization length of the quasiparticle decreases significantly with the increase of the disorder strength. Meanwhile, the weak disorder can readily restrain the Drude weight, while the superconducting gap has the tendency to suppress the low-energy optical conductivity. We also employ the Lanczos exact diagonalization method to study the competition between the on-site repulsive interactions and disorder. It is shown that the screening effect of repulsive interactions significantly enhances the Drude weight in the normal phase.


Inhomogeneous Superconductor; Disorder Effect; Anderson Localization; Kernel Polynomial Method; Lanczos Method

Cite this paper

L. He, J. Sun, C. Yang and Y. Song, "A Numerical Study of the Effect of Disorder on Optical Conductivity in Inhomogeneous Superconductors," Journal of Modern Physics, Vol. 4 No. 6A, 2013, pp. 14-16. doi: 10.4236/jmp.2013.46A004.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] P. A. Lee, Reports on Progress in Physics, Vol. 71, 2008, Article ID: 012501. doi:10.1088/0034-4885/71/1/012501
[2] A. N. Pasupathy, A. Pushp, K. K. Gomes, C. V. Parker, J. S. Wen, Z. J. Xu, et al., Science, Vol. 320, 2008, pp. 196-201. doi:10.1126/science.1154700
[3] K. Chatterjee, M. C. Boyer, W. D. Wise, T. Kondo, T. Takeuchi, H. Ikuta and E. W. Hudson, Nature Physics, Vol. 4, 2008, pp. 108-111. doi:10.1038/nphys835
[4] P. G. de Gennes, “Superconductivity of Metals and Alloys,” Addison-Wesley, Boston, 1989.
[5] W. A. Atkinson, P. J. Hirschfeld and A. H. MacDonald, Physical Review Letters, Vol. 85, 2000, pp. 3922-3925. doi:10.1103/PhysRevLett.85.3922
[6] A. Garg, M. Randeria and N. Trivedi, Nature Physics, Vol. 4, 2008, pp. 762-765. doi:10.1038/nphys1026
[7] H. Alloul, J. Bobroff, M. Gabay and P. J. Hirschfeld, Reviews of Modern Physics, Vol. 81, 2009, pp. 45-108.
[8] L. Covaci, F. M. Peeters and M. Berciu, Physical Review Letters, Vol. 105, 2010, Article ID: 167006. doi:10.1103/PhysRevLett.105.167006
[9] A. Weiße, G. Wellein, A. Alvermann and H. Fehske, Reviews of Modern Physics, Vol. 78, 2006, pp. 275-306. doi: 10.1103/RevModPhys.78.275
[10] A. Ghosal, M. Randeria and N. Trivedi, Physical Review B, Vol. 65, 2001, Article ID: 014501. doi:10.1103/PhysRevB.65.014501
[11] A. Punnoose and A. M. Finkel’stein, Science, Vol. 14, 2005, pp. 289-291. doi:10.1126/science.1115660
[12] Y. Song, H. K. Song and S. P. Feng, Journal of Physics: Condensed Matter, Vol. 23, 2011, Article ID: 205501. doi:10.1088/0953-8984/23/20/205501
[13] N. C. Murphy, R. Wortis and W. A. Atkinson, Physical Review B, Vol. 83, 2011, Article ID: 184206. doi:10.1103/PhysRevB.83.184206
[14] E. Dagotto, Reviews of Modern Physics, Vol. 66, 1994, pp. 763-840. doi:10.1103/RevModPhys.66.763
[15] Y. Song, S. Bulut, R. Wortis and W. A. Atkinson, Journal of Physics: Condensed Matter, Vol. 21, 2011, Article ID: 385601. doi:10.1088/0953-8984/21/38/385601

comments powered by Disqus
JMP Subscription
E-Mail Alert
JMP Most popular papers
Publication Ethics & OA Statement
JMP News
Frequently Asked Questions
Recommend to Peers
Recommend to Library
Contact Us

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.