Density of states in d-wave superconductors disordered by extended impurities

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 14, 2002, Pages 1405121-1405124

  Adagideli, Inanç ^a   Sheehy, Daniel E ^b   Goldbart, Paul M ^c  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTANCE; CONDUCTOR; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; MODEL; MOTION; SUPERCONDUCTOR;

EID: 0141751926     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. C. Pépin and P.A. Lee, Phys. Rev. B 63, 054502 (2001).
2. A.G. Yashenkin, W.A. Atkinson, I.V. Gornyi, P.J. Hirschfeld, and D.V. Khveshchenko, Phys. Rev. Lett. 86, 5982 (2001).
3. A. Altland, Phys. Rev. B 65, 104525 (2002).
4. A.V. Balatsky, M.I. Salkola, and A. Rosengren, Phys. Rev. B 51, 15 547 (1995); M.I. Salkola, A.V. Balatsky, and D.J. Scalapino, Phys. Rev. Lett. 77, 1841 (1996).
5. A.V. Balatsky, M.I. Salkola, and A. Rosengren, Phys. Rev. B 51, 15 547 (1995); M.I. Salkola, A.V. Balatsky, and D.J. Scalapino, Phys. Rev. Lett. 77, 1841 (1996).
6. I. Adagideli, P.M. Goldbart, A. Shnirman, and A. Yazdani, Phys. Rev. Lett. 83, 5571 (1999).
7. Of course, the mechanism for creating low-energy states invoked in the present paper does not specifically require d-wave super-conductivity. All that is required is that the pair potential be real (or can be made so by a suitable gauge transformation) and that it possess regions of momentum orientation over which it has opposing signs.
8. A. Yazdani, C.M. Howald, C.P. Lutz, A. Kapitulnik, and D.M. Eigler, Phys. Rev. Lett. 83, 176 (1999).
9. Similar states have also been observed in the case of native defects in E. Hudson, S.H. Pan, A.K. Gupta, K.-W. Ng, and J.C. Davis, Science 285, 88 (1999).
10. E. Witten, Nucl. Phys. B 188, 513 (1981).
11. P. Salomonson and J.W. Van Holten, Nucl. Phys. B 196, 509 (1982).
12. G. Junker, Supersymmetric Methods in Quantum and Statistical Physics (Springer, Berlin, 1996).
13. F.J. Dyson, Phys. Rev. 92, 1331 (1953).
14. C. Chamon and C. Mudry, Phys. Rev. B 63, 100503 (2001).
15. D.E. Sheehy, I. Adagideli, P.M. Goldbart, and A. Yazdani, Phys. Rev. B 64, 224518 (2001).
16. A.F. Andreev, Zh. Éksp. Teor. Fiz. 46, 1823 1964 [Sov. Phys. JETP 19, 1228 (1964)].
17. D. Waxman and K.D. Ivanova-Moser, Ann. Phys. (N.Y.) 226, 271 (1993).
18. A. Comtet, J. Desbois, and C. Monthus, Ann. Phys. (N.Y.) 239, 312 (1995).
19. L. Balents and M.P.A. Fisher, Phys. Rev. B 56, 12970 (1997).
20. L. Bartosch, Ann. Phys. (Leipzig) 10, 799 (2001).
21. nsn+1|Δ(s)|ds≫1 (Ref. 10), i. e., that the coherence length is small compared with the typical impurity spacing. In addition, we note that, as Ȟ may be made purely off-diagonal by a suitable unitary transformation, the tunneling amplitude between next-nearest neighbors vanishes identically.
22. The related task of computing tunneling corrections to the ground state of a SUSY Hamiltonian having multiple degenerate minima using instanton methods was considered in Ref. 10.
23. T.P. Eggarter and R. Riedinger, Phys. Rev. B 18, 569 (1978).
24. G. Theodorou and M.H. Cohen, Phys. Rev. B 13, 4597 (1976).
25. n} but also for correlations of finite range.