Chiral nonlinear σ models as models for topological superconductivity

Physical Review Letters

Volumn 86, Issue 7, 2001, Pages 1319-1322

  Abanov, A G ^a   Wiegmann, P B ^b,c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHIRAL BOSON FIELD; FERMIONIC CURRENTS; FLUX QUANTIZATION MECHANISM; ONE DIMENSIONAL FROHLICHS IDEAL CONDUCTIVITY;

ELECTRIC CHARGE; ELECTROMAGNETIC FIELDS; FERMIONS; GROUND STATE; HYDRODYNAMICS; MATHEMATICAL MODELS; ONE DIMENSIONAL; POLARIZATION; QUANTUM THEORY; REACTION KINETICS; SOLITONS; WIRE;

SUPERCONDUCTIVITY;

EID: 0035251903     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1319     Document Type: Article

References (25)

1. For related earlier developments, see Refs. [2]-[8].
2. G. Fröhlich, Proc. R. Soc. London A 223, 296 (1954); for a review, see, e.g., A.J. Heeger et al., Rev. Mod. Phys. 60, 781 (1988).
3. G. Fröhlich, Proc. R. Soc. London A 223, 296 (1954); for a review, see, e.g., A.J. Heeger et al., Rev. Mod. Phys. 60, 781 (1988).
4. R.B. Laughlin, Phys. Rev. Lett. 60, 2677 (1988); A. Fetter et al., Phys. Rev. B 39, 9679 (1989).
5. R.B. Laughlin, Phys. Rev. Lett. 60, 2677 (1988); A. Fetter et al., Phys. Rev. B 39, 9679 (1989).
6. Y-H. Chen et al., Int. J. Mod. Phys. B 3, 1001 (1989); X.-G. Wen et al., Phys. Rev. B 39, 11 413 (1989).
7. Y-H. Chen et al., Int. J. Mod. Phys. B 3, 1001 (1989); X.-G. Wen et al., Phys. Rev. B 39, 11 413 (1989).
8. N. Dorey and N.E. Mavromatos, Nucl. Phys. B386, 614 (1992).
9. A.M.J. Schakel, Phys. Rev. D 44, 1198 (1991); D. Senechal, Phys. Lett. B 297, 138 (1992).
10. A.M.J. Schakel, Phys. Rev. D 44, 1198 (1991); D. Senechal, Phys. Lett. B 297, 138 (1992).
11. P.B. Wiegmann, Phys. Rev. Lett. 65, 2070 (1990); P. Wiegmann, Progr. Theor. Phys. 107, 243 (1992).
12. P.B. Wiegmann, Phys. Rev. Lett. 65, 2070 (1990); P. Wiegmann, Progr. Theor. Phys. 107, 243 (1992).
13. A.G. Abanov and P.B. Wiegmann, Phys. Rev. B 57, 8532 (1998); P.B. Wiegmann, Phys. Rev. B 59, 15 705 (1999).
14. A.G. Abanov and P.B. Wiegmann, Phys. Rev. B 57, 8532 (1998); P.B. Wiegmann, Phys. Rev. B 59, 15 705 (1999).
15. A.G. Abanov and P.B. Wiegmann, Nucl. Phys. B570, 685 (2000); A.G. Abanov, Phys. Lett. B 492, 321 (2000).
16. A.G. Abanov and P.B. Wiegmann, Nucl. Phys. B570, 685 (2000); A.G. Abanov, Phys. Lett. B 492, 321 (2000).
17. S.B. Treiman et al. Current Algebra and Anomalies (Princeton University Press, Princeton, New Jersey, 1985).
18. P.A. Lee et al., Solid State Commun. 14, 703 (1974).
19. J. Goldstone and F. Wilczek, Phys. Rev. Lett. 47, 986 (1981); T. Jaroszewicz, Phys. Lett. 146B, 337 (1984).
20. J. Goldstone and F. Wilczek, Phys. Rev. Lett. 47, 986 (1981); T. Jaroszewicz, Phys. Lett. 146B, 337 (1984).
21. T. Jaroszewicz, Phys. Lett. B 193, 479 (1987).
22. L. Pontrjagin, Recl. Math. 9, 331 (1941).
23. D. Loss, Phys. Rev. Lett. 69, 343 (1992).
24. A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Publishers, Chur, Switzerland, 1987), Chap. 5.
25. μ through processes where the topological charge is not conserved (instantons) [16] does not take place in the nonlinear a models generated by fermions. The Dirac operator in the instanton background possesses a zero mode which suppresses these configurations. I. Affleck et al., Nucl. Phys. B206, 413 (1982).