Fermi liquid as a renormalization-group fixed point: The role of interference in the Landau channel

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 3, 1998, Pages 1444-1456

  Chitov, Gennady Y ^a   Sénéchal, David ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000685596     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.1444     Document Type: Article

References (34)

1. L.D. Landau, Zh. Éksp. Teor. Fiz. 30, 1058 (1956) [Sov. Phys. JETP 3, 920 (1957).
2. L.D. Landau[Sov. Phys. JETP 5, 101 (1957)].
3. I.Ia. Pomeranchuk Zh. Éksp. Teor. Fiz. 35, 524 (1958) [Sov. Phys. JETP 8, 361 (1959)].
4. L.D. Landau, Zh. Éksp. Teor. Fiz. 35, 97 (1958) [Sov. Phys. JETP 8, 70 (1959)].
5. J.M. Luttinger, Phys. Rev. 119, 1153 (1960).
6. A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
7. P. Nozières, Interacting Fermi Systems (Benjamin, New York 1964).
8. E.M. Lifshitz and L.P. Pitayevskii, Statistical Physics II (Pergamon Press, Oxford, 1980).
9. D. Pines and P. Nozières, The Theory of Quantum Liquids: Normal Fermi Liquids (Addison-Wesley, New York, 1966).
10. G. Baym and C. Pethick, Landau Fermi-liquid Theory (Wiley, New-York, 1991).
11. A. Houghton and J.B. Marston, Phys. Rev. B 48, 7790 (1993).
12. Phys. Rev. BH.-J. Kwon, A. Houghton, and J.B. Marston, 52, 8002 (1995).
13. A.H. Castro Neto and E. Fradkin, Phys. Rev. Lett. 72, 1393 (1993).
14. A.H. Castro NetoE. FradkinPhys. Rev. B 51, 4084 (1995). See also references therein.
15. F.D.M. Haldane, in Proceedings of the International School of Physics “Enrico Fermi, ” 1992, edited by R.A. Broglia and J.R. Schrieffer (North Holland, Amsterdam, 1994).
16. G. Benfatto and G. Gallavotti, J. Stat. Phys. 59, 541 (1990).
17. G. BenfattoG. GallavottiPhys. Rev. B 42, 9967 (1990).
18. R. Shankar, Physica A 177, 530 (1991).
19. J. Polchinski, in Proceedings of the 1992 Theoretical Advanced Studies Institute in Elementary Particle Physics, edited by J. Harvey and J. Polchinski (World Scientific, Singapore, 1993).
20. R. Shankar, Rev. Mod. Phys. 66, 129 (1994).
21. S. Weinberg, Nucl. Phys. B 413, 567 (1994).
22. C. Nayak, F. Wilczek, Nucl. Phys. B 417, 359 (1994).
23. Nucl. Phys. BC. NayakF. Wilczek430, 534 (1994).
24. C. NayakF. WilczekInt. J. Mod. Phys. B10, 897 (1996).
25. A. C. Hewson, Adv. Phys. 43, 543 (1994).
26. G.Y. Chitov and D. Snéchal, Phys. Rev. B 52, 13 487 (1995).
27. N. Dupuis and G.Y. Chitov, Phys. Rev. B 54, 3040 (1996).
28. A. Stern and B.I. Halperin, Phys. Rev. B 52, 5890 (1995).
29. B.I. Halperin, P.A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993).
30. The latter point is challenged in some studies predicting a finite effective mass. See, for instance, P. Kopietz and G.E. Castilla, Phys. Rev. Lett. 78, 314 (1997). This question deserves further study.
31. N.D. Mermin, Phys. Rev. 159, 161 (1967).
32. For a comprehensive introduction into the effective action formalism in the present context of fermion systems and other useful issues we recommend a recent review of W. Metzner, C. Castellani, and C. Di Castro, Adv. Phys. (to be published).
33. N. Dupuis, cond-mat/9604189 (unpublished).
34. See, for instance, J. Voit, Rep. Prog. Phys. 58, 977 (1995).