Theoretical Analysis of the Short Coherence Length Superconductors

• Authors: K. Wysokiński , A. Ciechan , J. Krzyszczak
• Languages of publication: EN

Abstracts

EN

Properties of the short coherence length ξ superconductors are markedly different from those with long ξ. The main difference is connected with their response to impurities. Even the s-wave superconductors have been predicted not to obey the so-called Anderson theorem and to show appreciable fluctuations of order parameter. This observation has been recently confirmed in a number of beautiful scanning tunnelling experiments on high temperature cuprate and pnictide superconductors. In this work we study clean two-band systems within BCS-type approach and impure superconductors within mean field Bogolubov-de Gennes approach. In the weak disorder limit both s-wave and d-wave superconductors only weakly react to impurities. Presence of the Van Hove singularities in the density of states of the two-band clean systems strongly increases their superconducting transition temperature if the intra-band pair scattering is the only pairing interaction. The effect of impurities on such superconductors does depend on the sign of the inter-orbital interaction.

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: 232-237

Dates

published

2010-08

Contributors

author

K. Wysokiński

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

author

A. Ciechan

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

author

J. Krzyszczak

• 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); W. Buckel, Physica B 126, 1 (1984)
• 2. A.R. Sweedler, D.E. Cox, S. Moehlecke, J. Nucl. Mater. 72, 50 (1978); L.R. Testardi, J.M. Poate, H. Levinstein, Phys. Rev. B 15, 2570 (1977)
• 3. P.W. Anderson, J. Phys. Chem. Solids 11, 26 (1959); L.P. Gorkov, Zh. Eksp. Teor. Fiz. 37, 1407 (1959)
• 4. B.L. Györffy, G. Litak, K.I. Wysokiński, in: Fluctuation Phenomena in High Critical Temperature Superconducting Ceramics, Eds. M. Ausloos, A.A. Varlamov, Kluwer Academic Publishers NATO ASI Series 1997, p. 385
• 5. T. Cren, D. Roditchev, W. Sacks, J. Klein, J.-B. Moussy, C. Deville-Cavellin, M. Lagues, Phys. Rev. Lett. 84, 147 (2000)
• 6. 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)
• 7. C. Howald, P. Fournier, A. Kapitulnik, Phys. Rev. B 64, 100504(R) (2001)
• 8. J.E. Hoffman, E.W. Hudson, K.M. Lang, V. Madhavan, H. Eisaki, S. Uchida, J.C. Davis, Science 295, 466 (2002)
• 9. K.M. Lang, V. Madhavan, J.E. Hoffman, E.W. Hudson, H. Eisaki, S. Uchida, J.C. Davis, Nature (London) 415, 412 (2002)
• 10. K. McElroy, R.W. Simmonds, J.E. Hoffman, D.-H. Lee, J. Orenstein, H. Eisaki, S. Uchida, J.C. Davis, Nature 422, 592 (2003)
• 11. 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)
• 12. Y. Yin, M. Zech, T.L. Williams, X.F. Wang, G. Wu, X.H. Chen, J.E. Hoffman, Phys. Rev. Lett. 102, 097002 (2009)
• 13. F. Massee, Y. Huang, R. Huisman, S. de Jong, J.B. Goedkoop, M.S. Golden, Phys. Rev. B 79, 220517(R) (2009)
• 14. Yi Yin, M. Zech, T.L. Williams, J.E. Hoffman, Physica C: Superconductivity 469, 535 (2009)
• 15. P.W. Anderson, Science 235, 1196 (1987)
• 16. R. Micnas, J. Ranninger, S. Robaszkiewicz, Rev. Mod. Phys. 62, 113 (1990)
• 17. T.S. Nunner, B.M. Andersen, A. Melikyan, P.J. Hirschfeld, Phys. Rev. Lett. 95, 177003 (2005); B.M. Andersen, A. Melikyan, T.S. Nunner, P.J. Hirschfeld, Phys. Rev. B 74, 060501(R) (2006)
• 18. M.M. Maśka, Ż. Śledź, K. Czajka, M. Mierzejewski, Phys. Rev. Lett. 99, 147006 (2007)
• 19. J. Krzyszczak, T. Domański, K.I. Wysokiński, R. Micnas, S. Robaszkiewicz, Real Space Inhomogeneities in High Temperature Superconductors: Perspective of the Two-Component Model, preprint, 2009
• 20. A. Ciechan, K.I. Wysokiński, Acta Phys. Pol. A 114, 123 (2008)
• 21. H. Suhl, B.T. Matthias, L.R. Walker, Phys. Rev. Lett. 3, 552 (1959); M. Suffczynski, Phys. Rev. 128, 1538 (1962)
• 22. O.V. Dolgov, I.I. Mazin, D. Parker, A.A. Golubov, Phys. Rev. B 79, 060502(R) (2009)
• 23. Y. Bang, H.-Y. Choi, Phys. Rev. B 78, 134523 (2008)
• 24. A. Ciechan, K.I. Wysokiński, Local Spectra of Two-Band Model with Intra- and/or Interband Pairs, preprint, 2009
• 25. I.I. Mazin, D.J. Singh, M.D. Johannes, M.H. Du, Phys. Rev. Lett. 101, 057003 (2008)
• 26. J. Labbe, J. Bok, Europhys. Lett. 3, 1225 (1987)
• 27. R.S. Markiewicz, J. Phys. Chem. Solids 58, 1179 (1997)
• 28. A. Ciechan, J. Krzyszczak, K.I. Wysokiński, J. Phys. Conf. Series 150, 052283 (2009)
• 29. A.P. Mackenzie, Y. Maeno, Rev. Mod. Phys. 75, 657 (2003)
• 30. A.I. Larkin, JETP Lett. 2, 130 (1965)
• 31. A.M. Martin, G. Litak, B.L. Gyorffy, J.F. Annett, K.I. Wysokiński, Phys. Rev. B 60, 7523 (1999)
• 32. L.P. Gor'kov, J. Supercond. 13, 765 (2000)
• 33. K. Rogacki, B. Batlogg, J. Karpinski, N.D. Zhigadlo, G. Schuck, S.M. Kazakov, P. Wägli, R. Puźniak, A. Wiśniewski, F. Carbone, A. Brinkman, D. van der Marel, Phys. Rev. B 73, 174520 (2006)
• 34. J. Ranninger, S. Robaszkiewicz, Physica B 135, 468 (1985); S. Robaszkiewicz, R. Micnas, J. Ranninger, Phys. Rev. B 36, 180 (1987)
• 35. G. Pawłowski, S. Robaszkiewicz, Physica A 299, 475 (2001); G. Pawłowski, S. Robaszkiewicz, Mol. Phys. Rep. 34, 76 (2001); G. Pawłowski, S. Robaszkiewicz, Phys. Status Solidi B 236, 400 (2003); S. Robaszkiewicz, G. Pawłowski, J. Supercond. 17, 37 (2004); G. Pawłowski, S. Robaszkiewicz, R. Micnas, J. Supercond. 17, 33 (2004); G. Pawłowski, S. Robaszkiewicz, R. Micnas, Acta Phys. Pol. A 106, 745 (2004)
• 36. 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)
• 37. A.F. Kemper, D.G.S.P. Doluweera, T.A. Maier, M. Jarrell, P.J. Hirschfeld, H.-P. Cheng, Phys. Rev. B 79, 104502 (2009)
• 38. G. Xiao, M.Z. Cieplak, J.Q. Xiao, C.L. Chien, Phys. Rev. B 42 8742 (1990); S.K. Tolpygo, J.-Y. Lin, M. Gurvitch, S.Y. Hou, J.M. Phillips, Phys. Rev. B 53, 12454 (1996)
• 39. V.G. Kogan, C. Martin, R. Prozorov, Phys. Rev. B 80, 014507 (2009)

Identifiers

DOI

10.12693/APhysPolA.118.232