Inhomogeneities in Superconductors Described by the Two-Component Model

• Authors: J. Krzyszczak , T. Domański , K. Wysokiński
• Languages of publication: EN

Abstracts

EN

We study fluctuations of the superconducting order parameter of s-wave symmetry caused by nonmagnetic disorder present both in the boson and fermion subsystems using the Bogoliubov-de Gennes equations. In particular, we are interested if some features of the d-wave model persist for s-wave symmetry as well. These are: positive correlations between positions of impurities and the magnitude of energy gap, the homogeneity of the local density of states at low energies, nanoscale inhomogeneity of the coherence peak positions and their non-uniform height. We have found that spatial variations of s-wave order parameter are positively correlated with the positions of impurities. Such behavior has been observed in scanning tunneling measurements on d-wave symmetry BSCCO-2122 superconductors.

Keywords

EN

71.10.Fd; 74.20.-z; 74.81.-g

Discipline

• 74.81.-g: Inhomogeneous superconductors and superconducting systems, including electronic inhomogeneities
• 74.20.-z: Theories and models of superconducting state
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 2
• Pages: 360-363

Dates

published

2010-08

Contributors

author

J. Krzyszczak

• Institute of Physics and Nanotechnology Centre, M. Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

author

T. Domański

• Institute of Physics and Nanotechnology Centre, M. Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

author

K. Wysokiński

• Institute of Physics and Nanotechnology Centre, M. Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

References

• 1. W. Buckel, R. Hilsch, Z. Phys. 132, 420 (1952)
• 2. A.I. Larkin, JETP Lett. 2, 130 (1965)
• 3. A.M. Martin, G. Litak, B.L. Györffy, J.F. Annett, K.I. Wysokiński, Phys. Rev. B 60, 7523 (1999)
• 4. T. Cren, D. Roditchev, W. Sacks, J. Klein, J.-B. Moussy, C. Deville-Cavellin, M. Laguës, Phys. Rev. Lett. 84, 147 (2000); S.-H. Pan, J.P. O'Neal, R.L. Badzey, C. Chamon, H. Ding, J.R. Engelbrecht, Z. Wang, H. Eisaki, S. Uchida, A.K. Gupta, K.-W. Ng, E.W. Hudson, K.M. Lang, J.C. Davis, Nature (London) 413, 282 (2001); C. Howald, P. Fournier, A. Kapitulnik, Phys. Rev. B 64, 100504(R) (2001); J.E. Hoffman, E.W. Hudson, K.M. Lang, V. Madhavan, H. Eisaki, S. Uchida, J.C. Davis, Science 295, 466 (2002)
• 5. K.M. Lang, V. Madhavan, J.E. Hoffman, E.W. Hudson, H. Eisaki, S. Uchida , J.C. Davis, Nature (London) 415, 412 (2002)
• 6. O. Millo, I. Asulin, O. Yuli, I. Felner, Z.-A. Ren, X.-L. Shen, G.-C. Che, Z.-X. Zhao, Phys. Rev. B 78, 092505 (2008)
• 7. Y. Yin, M. Zech, T.L. Williams, X.F. Wang, G. Wu, X.H. Chen, J.E. Hoffman, Phys. Rev. Lett. 102, 097002 (2009)
• 8. F. Massee, Y. Huang, R. Huisman, S. de Jong, J.B. Goedkoop, M.S. Golden, Phys. Rev. B 79, 220517(R) (2009)
• 9. K. McElroy, Jinho Lee, J.A. Slezak, D.-H. Lee, H. Eisaki, S. Uchida, J.C. Davis, Science 309, 1048 (2005)
• 10. J. Ranninger, S. Robaszkiewicz, Physica B 135, 468 (1985)
• 11. A. Ghosal, M. Randeria, N. Trivedi, Phys. Rev. Lett. 81, 3940 (1998)
• 12. M. Franz, C. Kallin, A.J. Berlinsky, Phys. Rev. B 54, R6897 (1996)
• 13. W.A. Atkinson, P.J. Hirschfeld, A.H. MacDonald, Phys. Rev. Lett. 85, 3922 (2000)
• 14. A. Ghosal, M. Randeria, N. Trivedi, Phys. Rev. B 63, 020505(R) (2000)
• 15. B.M. Andersen, A. Melikyan, T.S. Nunner, P.J. Hirschfeld, Phys. Rev. B 74, 060501(R) (2006)
• 16. M.M. Maśka, Ż. Śledź, K. Czajka, M. Mierzejewski, Phys. Rev. Lett. 99, 147006 (2007)
• 17. J. Krzyszczak, T. Domański, K.I. Wysokiński, R. Micnas, S. Robaszkiewicz, J. Phys., Condens. Matter 22, 255702 (2010)
• 18. R. Micnas, J. Ranninger, S. Robaszkiewicz, Rev. Mod. Phys. 62, 113 (1990); R. Friedberg, T.D. Lee, H.C. Ren, Phys. Rev. B 42, 4122 (1990); V.B. Geshkenbein, L.B. Ioffe, A.I. Larkin, Phys. Rev. B 55, 3173 (1997); L.P. Gor'kov, J. Supercond. 13, 765 (2000); T. Domanski, J. Ranninger, Phys. Rev. B 63, 134505 (2001); A.H. Castro Neto, Phys. Rev. B 64, 104509 (2001)
• 19. Ż. Śledź, M. Mierzejewski, Acta Phys. Pol. A 114, 219 (2008)
• 20. G. Pawłowski, S. Robaszkiewicz, Physica A 299, 475 (2001); G. Pawłowski, S. Robaszkiewicz, R. Micnas, Acta Phys. Pol. A 106, 745 (2004)
• 21. T. Domański, K.I. Wysokiński, Phys. Rev. B 66, 064517 (2002); T. Domański, J. Ranninger, K.I. Wysokiński, Acta Phys. Pol. B 34, 493 (2003)
• 22. T.S. Nunner, B.M. Andersen, A. Melikyan, P.J. Hirschfeld, Phys. Rev. Lett. 95, 177003 (2005)
• 23. J. Krzyszczak, T. Domański, K.I. Wysokiński, Acta Phys. Pol. A 114, 165 (2008)
• 24. I.N. Khlyustikov, A.I. Buzdin, Adv. Phys. 36, 271 (1987); A.I. Larkin, Sov. Phys. JETP 31, 784 (1970)
• 25. I. Martin, D. Podolsky, S.A. Kivelson, Phys. Rev. B 72, 060502(R) (2005)
• 26. E. Altman, A. Auerbach, Phys. Rev. B 65, 104508 (2002)
• 27. I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)

Identifiers

DOI

10.12693/APhysPolA.118.360