Nonanalytic corrections to the Fermi-liquid behavior

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 15, 2003, Pages

  Chubukov, Andrey ^a   Maslov, Dmitrii ^b  

^a University of Wisconsin Madison   (United States)

^b University of Florida ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AB INITIO CALCULATION; ARTICLE; ENERGY; LIQUID; MATHEMATICAL ANALYSIS; PHYSICAL CHEMISTRY; QUANTUM THEORY; THEORETICAL MODEL;

EID: 2542484981     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.155113     Document Type: Article

References (87)

1. L.D. Landau, Zh. Éksp. Teor. Fiz. 35, 97 (1958).
2. L.D. Landau, Sov. Phys. JETP 8, 70 (1959).
3. P.W. Anderson, Phys. Rev. Lett. 66, 3226 (1991).
4. R. Shankar, Rev. Mod. Phys. 66, 129 (1994).
5. W. Metzner, C. Castellani, and C. diCastro, Adv. Phys. 47, 317 (1998).
6. A. Houghton, H-J. Kwon, and B. Marston, Adv. Phys. 49, 141 (2000).
7. C. Nayak and F. Wilczek, Nucl. Phys. B 430, 534 (1994).
8. G.Y. Chitov and D. Senechal, Phys. Rev. B 57, 1444 (1998).
9. J. Kim and D. Coffey, Phys. Rev. B 62, 4288 (2000).
10. T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999).
11. M. Norman and C. Pepin, cond-mat/0302347 (unpublished).
12. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, 1999).
13. A. Abanov et al., Adv. Phys. 52, 119 (2003).
14. G.R. Stewart, Rev. Mod. Phys. 73, 797 (2001).
15. A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
16. E.M. Lifshitz and L.P. Pitaevskii, Statistical Physics (Pergamon Press, Oxford, 1980).
17. A.L. Fetter and D.L. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
18. D. Pines and Ph. Nozierès, The Theory of Quantum Liquids (Benjamin, New York, 1966).
19. V.M. Galitskii, Zh. Éksp. Teor. Fiz. 34, 151 (1958).
20. V.M. Galitskii, Sov. Phys. JETP 7, 104 (1958).
21. J.A. Hertz, Phys. Rev. B 14, 1165 (1976).
22. A. Millis, Phys. Rev. B 48, 7183 (1993).
23. P. Coleman, C. Pepin, Q. Si, and R. Ramazashvili, J. Phys.: Condens. Matter 13, 723 (2001).
24. Q. Si et al., Nature (London) 413, 804 (2001).
25. G. Baym and C.J. Pethick, in The Physics of Liquid and Solid Helium, edited by K.H. Bennemann and J.B. Ketterson (Wiley, New York, 1978).
26. A.V. Chaplik, Zh. Éksp. Teor. Fiz. 60, 1845 (1971).
27. A.V. Chaplik, Sov. Phys. JETP 33, 997 (1971).
28. C. Hodges, H. Smith, and J.W. Wilkins, Phys. Rev. B 4, 302 (1971).
29. P. Bloom, Phys. Rev. B 12, 125 (1975).
30. S. Fujimoto, J. Phys. Soc. Jpn. 59, 2316 (1990).
31. G.F. Giuliani and J.L. Quinn, Phys. Rev. B 26, 4421 (1982).
32. L.W. Bruch, Physica A 94, 586 (1978).
33. J.R. Engelbrecht and M. Randeria, Phys. Rev. Lett. 65, 1032 (1990).
34. J.R. Engelbrecht, M. Randeria, Phys. Rev. Lett. 66, 3225 (1991).
35. B.N. Narozhny, Gábor Zala, and I.L. Aleiner, Phys. Rev. B 65, 180202 (R) (2002).
36. S. Doniach and S. Engelsberg, Phys. Rev. Lett. 17, 750 (1966).
37. J.W. Serene and D.W. Hess, Phys. Rev. B 44, 3391 (1991).
38. D. Coffey and K.S. Bedell, Phys. Rev. Lett. 71, 1043 (1993).
39. D. Belitz, T.R. Kirkpatrick, and T. Vojta, Phys. Rev. B 55, 9452 (1997).
40. S. Misawa, J. Phys. Soc. Jpn. 68, 2172 (1999).
41. S. Misawa Physica B 294-295, 10 (2001).
42. M.A. Baranov, M.Yu. Kagan, and M.S. Mar’enko, Pis’ma Zh. Éksp. Teor. Fiz. 58, 734 (1993)
43. M.A. Baranov, M.Yu. Kagan, and M.S. Mar’enko, JETP Lett. 58, 709 (1993)].
44. G.Y. Chitov and A.J. Millis, Phys. Rev. Lett. 86, 5337 (2001).
45. G.Y. Chitov A.J. Millis Phys. Rev. B 64, 054414 (2001).
46. S. Fratini and F. Guinea, Phys. Rev. B 66, 125104 (2002).
47. F. Stern, Phys. Rev. Lett. 44, 1469 (1980).
48. A. Gold and V.T. Dolgopolov, Phys. Rev. B 33, 1076 (1986).
49. S. Das Sarma, Phys. Rev. B 33, 5401 (1986).
50. S. Das Sarma and E.H. Hwang, Phys. Rev. Lett. 83, 164 (1999).
51. Gábor Zala, B.N. Narozhny, and I.L. Aleiner, Phys. Rev. B 65, 020201 (2002).
52. B.L. Altshuler and A.G. Aronov, in Electron-Electron Interactions in Disordered Conductors, edited by A.L. Efros and M. Pollak (Elsevier, Amsterdam, 1985), p. 1.
53. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976).
54. A.M. Afanasiev and Yu. Kagan, Zh. Éksp. Teor. Fiz. 43, 1456 (1962)
55. M.A. Baranov, M.Yu. Kagan, and M.S. Mar’enko, Sov. Phys. JETP 16, 1030 (1963)].
56. F. Stern, Phys. Rev. Lett. 18, 546 (1967).
57. S. Misawa, Physica B 149, 162 (1988).
58. G.M. Carneiro and C.J. Pethick, Phys. Rev. B 16, 1933 (1977).
59. D.S. Hirashima and H. Takahashi, J. Phys. Soc. Jpn. 67, 3816 (1998).
60. J. Phys. Soc. Jpn. D.S. Hirashima and K. Kubo, 68, 2174 (1999).
61. P. Benard, L. Chen, and A.-M.S. Tremblay, Phys. Rev. B 47, 15217 (1993).
62. A.V. Chubukov, Phys. Rev. B 48, 1097 (1993).
63. A. Neumayr and W. Metzner, Phys. Rev. B 58, 15449 (1998).
64. I.G. Khalil, N.W. Ashcroft, and M. Teter, cond-mat/0111196 (unpublished).
65. H. Fukuama, Y. Hasegawa, and O. Narikiyo, J. Phys. Soc. Jpn. 60, 2013 (1991).
66. W. Kohn and J.M. Luttinger, Phys. Rev. Lett. 15, 524 (1965).
67. D. Fay and A. Layzer, Phys. Rev. Lett. 20, 187 (1968).
68. M.A. Baranov, A.V. Chubukov, and M.Ya. Kagan, Int. J. Mod. Phys. B 6, 2471 (1992).
69. S. Das Sarma, V. Galitskii, and Y. Zhang, cond-mat/0303363 (unpublished).
70. V.J. Emery, in Highly-Conducting One-Dimensional Solids, edited by J.T. Devreese, R.P. Eward, and V.E. van Doren (Plenum Press, New York, 1979), p. 247.
71. I.E. Dzyaloshinskii and A.I. Larkin, Zh. Éksp. Teor. Fiz. 65, 411 (1973).
72. I.E. Dzyaloshinskii and A.I. Larkin, Sov. Phys. JETP 38, 202 (1974)].
73. A.O. Gogolin, A.A. Nersesyan, and A.M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, Cambridge, 1998).
74. J.M. Luttinger, Phys. Rev. 121, 1251 (1961).
75. Yu.A. Bychkov and L.P. Gor’kov, Zh. Éksp. Teor. Fiz. 41 1592 (1961).
76. Yu.A. Bychkov and L.P. Gor’kov, JETP 14, 1132 (1962).
77. S. Engelsberg and G. Simpson, Phys. Rev. B 2, 1657 (1970).
78. S. Curnoe and P.C.E. Stamp, Phys. Rev. Lett. 80, 3312 (1998).
79. G.W. Martin, D.L. Maslov, and M.Yu. Reizer, cond-mat/0302054 (unpublished).
80. M. Fowler and R.E. Prange, Physics 1, 315 (1965).
81. I.E. Dzyaloshinskii and A.I. Larkin, Zh. Éksp. Teor. Fiz. 61, 791 (1971).
82. I.E. Dzyaloshinskii and A.I. Larkin, Sov. Phys. JETP 34, 422 (1972).
83. H. Nelisse, C. Bourbonnais, H. Touchette, Y.M. Vilk, and A.-M.S. Tremblay, Eur. Phys. J. B 12, 351 (1999).
84. G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists (Academic Press, San Diego, 1995).
85. L. Zheng and S. Das Sarma, Phys. Rev. B 53, 9964 (1996).
86. D. Belitz, T.R. Kirkpatrick, A.J. Millis, and T. Vojta, Phys. Rev. B 58, 14155 (1998).
87. D. Belitz and T.R. Kirkpatrick, cond-mat/0209190 (unpublished).