Symmetry classes of disordered fermions

Communications in Mathematical Physics

Volumn 257, Issue 3, 2005, Pages 725-771

  Heinzner, P ^a   Huckleberry, A ^a   Zirnbauer, M R ^b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344440019     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1330-9     Document Type: Review

References (24)

1. [A2] Altland, A., Zirnbaucr, M.R.: Nonslandard symmetry classes in mesoscopic normal-/superconducting hybrid systems, Phys. Rev. B 55, 1142-1161 (1997)
2. [A3] Altland, A., Simons, B.D., Zimbauer, M.R.: Theories of low-energy quasiparticle suites in disordered d-wave superconductors. Phys. Rep. 359, 283-354 (2002)
3. [A] Arnold, V.I.: Mathematical methods of classical mechanics. New York, Heidelberg, Berlin: Springer-Verlag, 1978
4. [B] Bergmann, G.: Weak localization in thin films - a time-of-flight experiment with conduction electrons. Phys. Rep. 107, 1-58 (1984)
5. [B3] Berline, N., Getzler, H., Vergne, M.: Heat kernels and Dirac operators. Berlin, Heidelberg, New York: Springer-Verlag, 1992
6. [C] Caselle, M., Magnea, U.: Random-matrix theory and symmetric spaces. Phys. Rep. 394, 41-156 (2004)
7. [D] Dyson, F.J.: The threefold way: algebraic structure of symmetry groups and ensembles in quantum mechanics. J. Math. Phys. 3/1199-1215 (1962)
8. 4 and related materials. Ann. Physik 13, 149-174 (2004)
9. [G] Gruzberg, I.A., Ludwig, A.W.W., Read, N.: Exact exponents for the spin quantum Hall transition. Phys. Rev. Lett. 82, 4524-4527 (1999)
10. [H2] Halasz., M.A., Verbaarschot, J.J.M.: Kffeclive Lagrangians and chiral random-matrix theory. Phys. Rev. D 51, 2563-2573 (1995)
11. [H] Helgason, S.: Differential geometry, Lie groups and symmetric spaces. New York: Academic Press, 1978
12. [K] Katz, N.M., Samak. P.: Random matrices, Frobenius eigenvalues, and monodromy. Providence, R.I.: American Mathematical Society, 1999
13. 4 and the physics of spin-triplet pairing. Rev. Mod. Phys. 75, 657-712 (2003)
14. [R] Read, N., Green, D.: Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect. Phys. Rev. B 61, 10267-10297 (2000)
15. [S2] Senthil, T. Fisher, M.P.A.: Quasiparliclc localization in superconductors wilh spin-orbit scattering, Phys. Rev. B 61, 9690-9698 (2000)
16. [S3] Senthil, T., Marston, J.B., Fisher, M.P.A.: Spin quantum Hall effect in unconventional superconductors. Phys. Rev. B 60, 4245-4254 (1999)
17. c superconductors. Phys. Rev. Lett. 81, 4704-4707 (1998)
18. [S] Stewart, G.S.: Heavy-fermion systems. Rev. Mod. Phys. 56, 755-787 (1984)
19. [T] Tsuei, C.C., Kinley, J.R.: Pairing symmetry in the cuprale superconductors. Rev. Mod. Phys. 72, 969-1016 (2000)
20. [V] Verbaarschol, J.J.M.: The spectrum of the QCD Dirac operator and chiral random-matrix theory: the threefold way. Phys. Rev. Lett. 72, 2531-2533 (1994)
21. c = 1. Nucl. Phys. B 426, 559-574 (1994)
22. [V2] Verbaarschol, J.J.M., Zahed, I.: Spectral density of the QCD Dirac operator near zero virtuality. Phys. Rev. Lett. 70, 3852-3855 (1993)
23. [VW] Vollhardt, D., Wölfle, P.: The superfluid phases of Helium 3 London: Taylor & Francis, 1990
24. [Z] Zirnbauer, M.R.: Riemannian symmetric superspaces and their origin in random-matrix theory. J. Math. Phys. 37, 4986-5018 (1996)