Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 4, 2005, Pages

  Asgari, R ^a,b   Davoudi, B ^a,b,e   Polini, M ^a   Giuliani, Gabriele F ^c   Tosi, M P ^a   Vignale, G ^d  

^a SCUOLA NORMALE SUPERIORE   (Italy)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

^c PURDUE UNIVERSITY   (United States)

^d UNIVERSITY OF MISSOURI   (United States)

^e UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOMIC PARTICLE; ELECTRICITY; ELECTRON; MONTE CARLO METHOD; QUASIPARTICLE;

EID: 15744378113     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.045323     Document Type: Article

References (95)

1. D. M. Ceperley, Nature (London) 397, 386 (1999).
2. D. Pines and P. Noziêres, The Theory of Quantum Liquids (Benjamin, New York, 1966).
3. G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, England, 2005).
4. K. S. Singwi and M. P. Tosi, in Solid State Physics, edited by H. Ehrenreich, F. Seitz, and D. Turnbull (Academic, New York, 1981), Vol. 36, p. 177.
5. A. W. Overhauser, Phys. Rev. B 3, 1888 (1971).
6. N. H. March, Electron Correlation in the Solid State (Imperial College Press, London, 1999).
7. E. P. Wigner, Phys. Rev. 46, 1002 (1934).
8. D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980); B. J. Alder, D. M. Ceperley, and E. L. Pollock, Int. J. Quantum Chem. 16, 49 (1982).
9. D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980); B. J. Alder, D. M. Ceperley, and E. L. Pollock, Int. J. Quantum Chem. 16, 49 (1982).
10. B. Tanatar and D. M. Ceperley, Phys. Rev. B 39, 5005 (1989).
11. S. Moroni, D. M. Ceperley, and G. Senatore, Phys. Rev. Lett, 69, 1837 (1992).
12. Y. Kwon, D. M. Ceperley, and R. M. Martin, Phys. Rev. B 50, 1684 (1994).
13. S. Moroni, D. M. Ceperley, and G. Senatore, Phys. Rev. Lett. 75, 689 (1995).
14. F. Rapisarda and G. Senatore, Aust. J. Phys. 49, 161 (1996).
15. G. Ortiz, M. Harris, and P. Ballone, Phys. Rev. Lett, 82, 5317 (1999).
16. G. Senatore, S. Moroni, and D. M. Ceperley, in Quantum Monte Carlo Methods in Physics and Chemistry, edited by M. P. Nightingale and C. J. Umrigar (Kluwer, Dordrecht, 1999).
17. D. Varsano, S. Moroni, and G. Senatore, Europhys. Lett. 53, 348 (2001).
18. F. H. Zong, C. Lin, and D. M. Ceperley, Phys. Rev. E 66, 036703 (2002).
19. C. Attaccalite, S. Moroni, P. Gori-Giorgi, and G. B. Bachelet, Phys. Rev. Lett. 88, 256601 (2002).
20. L. D. Landau, Sov. Phys. JETP 3, 920 (1957).
21. J. J. Quinn and R. A. Ferrell, Phys. Rev. 112, 812 (1958).
22. T. M. Rice, Ann. Phys. (N.Y.) 31, 100 (1965).
23. J. Hubbard, Proc. R. Soc. London, Ser. A 240, 739 (1957) and 243, 336 (1957).
24. J. Hubbard, Proc. R. Soc. London, Ser. A 240, 739 (1957) and 243, 336 (1957).
25. C. S. Ting, T. K. Lee, and J. J. Quinn, Phys. Rev. Lett. 34, 870 (1975); see also T. K. Lee, C. S. Ting, and J. J. Quinn, Solid State Commun. 16, 1309 (1975).
26. C. S. Ting, T. K. Lee, and J. J. Quinn, Phys. Rev. Lett. 34, 870 (1975); see also T. K. Lee, C. S. Ting, and J. J. Quinn, Solid State Commun. 16, 1309 (1975).
27. S. Yarlagadda and G. F. Giuliani, Phys. Rev. B 49, 14 188 (1994).
28. G. Vignale and K. S. Singwi, Phys. Rev. B 32, 2156 (1985).
29. X. Zhu and A. W. Overhauser, Phys. Rev. B 33, 925 (1986).
30. S. Yarlagadda and G. F. Giuliani, Solid State Commun. 69, 677 (1989).
31. S. Yarlagadda and G. F. Giuliani, Phys. Rev. B 49, 7887 (1994) and 61, 12 556 (2000).
32. S. Yarlagadda and G. F. Giuliani, Phys. Rev. B 49, 7887 (1994) and 61, 12 556 (2000).
33. C. A. Kukkonen and A. W. Overhauser, Phys. Rev. B 20, 550 (1979).
34. D. R. Hamann and A. W. Overhauser, Phys. Rev. 143, 183 (1966).
35. S. Rahman and G. Vignale, Phys. Rev. B 30, 6951 (1984).
36. G. E. Santoro and G. F. Giuliani, Phys, Rev. B 39, 12 818 (1989).
37. S. Yarlagadda and G. F. Giuliani, Phys. Rev. B 40, 5432 (1989).
38. T. K. Ng and K. S. Singwi, Phys. Rev. B 34, 7738 (1986); 34, 7743 (1986).
39. T. K. Ng and K. S. Singwi, Phys. Rev. B 34, 7738 (1986); 34, 7743 (1986).
40. B. Davoudi, M. Polini, G. F. Giuliani, and M. P. Tosi, Phys. Rev. B 64, 153101 (2001); 64, 233110 (2001).
41. B. Davoudi, M. Polini, G. F. Giuliani, and M. P. Tosi, Phys. Rev. B 64, 153101 (2001); 64, 233110 (2001).
42. G. Simion and G. F. Giuliani (unpublished).
43. T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
44. A. A. Abrikosov, Fundamentals of the Theory of Metals (North Holland, Amsterdam, 1988); E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Nauka, Moscow, 1979).
45. A. A. Abrikosov, Fundamentals of the Theory of Metals (North Holland, Amsterdam, 1988); E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Nauka, Moscow, 1979).
46. J. L. Smith and P. J. Stiles, Phys. Rev. Lett. 29, 102 (1972).
47. G. Abstreiter, J. P. Koothaus, J. F. Koch, and G. Dorda, Phys. Rev. B 14, 2480 (1976).
48. F. F. Fang and P. J. Stiles, Phys. Rev. 174, 823 (1968).
49. T. Neugebauer, K. von Klitzing, G. Landwehr, and G. Dorda, Solid State Commun. 17, 295 (1975).
50. For a review on the 2D MIT see, e.g., E. Abrahams, S. V. Kravchenko, and M. P. Sarachik, Rev. Mod. Phys. 73, 251 (2001); also see B. L. Altshuler, D. L. Maslov, and V. M. Pudalov, Physica E (Amsterdam) 9, 209 (2001).
51. For a review on the 2D MIT see, e.g., E. Abrahams, S. V. Kravchenko, and M. P. Sarachik, Rev. Mod. Phys. 73, 251 (2001); also see B. L. Altshuler, D. L. Maslov, and V. M. Pudalov, Physica E (Amsterdam) 9, 209 (2001).
52. V. T. Dolgopolov, G. V. Kravchenko, A. A. Shashkin, and S. V. Kravchenko, JETP Lett. 55, 733 (1992); D. Simonian, S. V. Kravchenko, M. P. Sarachik, and V. M. Pudalov, Phys. Rev. Lett. 79, 2304 (1997); V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, JETP Lett. 65, 932 (1997).
53. V. T. Dolgopolov, G. V. Kravchenko, A. A. Shashkin, and S. V. Kravchenko, JETP Lett. 55, 733 (1992); D. Simonian, S. V. Kravchenko, M. P. Sarachik, and V. M. Pudalov, Phys. Rev. Lett. 79, 2304 (1997); V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, JETP Lett. 65, 932 (1997).
54. V. T. Dolgopolov, G. V. Kravchenko, A. A. Shashkin, and S. V. Kravchenko, JETP Lett. 55, 733 (1992); D. Simonian, S. V. Kravchenko, M. P. Sarachik, and V. M. Pudalov, Phys. Rev. Lett. 79, 2304 (1997); V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, JETP Lett. 65, 932 (1997).
55. T. Okamoto, K. Hosoya, S. Kawaji, and A. Yagi, Phys. Rev. Lett. 82, 3875 (1999).
56. S. A. Vitkalov, H. Zheng, K. M. Mertes, M. P. Sarachik, and T. M. Klapwijk, Phys. Rev. Lett. 87, 086401 (2001).
57. A. A. Shashkin, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, Phys. Rev. Lett. 87, 086801 (2001) and Phys. Rev. B 66, 073303 (2002).
58. A. A. Shashkin, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, Phys. Rev. Lett. 87, 086801 (2001) and Phys. Rev. B 66, 073303 (2002).
59. V. M. Pudalov, M. E. Gershenson, H. Kojima, N. Butch, E. M. Dizhur, G. Brunthaler, A. Prinz, and G. Bauer, Phys. Rev. Lett. 88, 196404 (2002); see also V. M. Pudalov, M. E. Gershenson and H. Kojima, cond-mat/0110160.
60. E. Tutuc, S. Melinte, and M. Shayegan, Phys. Rev. Lett. 88, 036805 (2002).
61. H. Noh, M. P. Lilly, D. C. Tsui, J. A. Simmons, E. H. Hwang, S. Das Sarma, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 68, 165308 (2003).
62. J. Zhu, H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 90, 056805 (2003).
63. K. Vakili, Y. P. Shkolnikov, E. Tutuc, E. P. De Poortere, and M. Shayegan, Phys. Rev. Lett, 92, 226401 (2003).
64. I. M. Lifshitz and A. M. Kosevich, Sov. Phys. JETP 2, 636 (1956); J. M. Luttinger, Proc. R. Soc. Med. 121, 1251 (1961); Yu, A. Bychkov and L. P. Gor'kov, Sov. Phys. JETP 14, 1132 (1962).
65. I. M. Lifshitz and A. M. Kosevich, Sov. Phys. JETP 2, 636 (1956); J. M. Luttinger, Proc. R. Soc. Med. 121, 1251 (1961); Yu, A. Bychkov and L. P. Gor'kov, Sov. Phys. JETP 14, 1132 (1962).
66. I. M. Lifshitz and A. M. Kosevich, Sov. Phys. JETP 2, 636 (1956); J. M. Luttinger, Proc. R. Soc. Med. 121, 1251 (1961); Yu, A. Bychkov and L. P. Gor'kov, Sov. Phys. JETP 14, 1132 (1962).
67. K. Miyake and C. M. Varma, Solid State Commun. 85, 335 (1993); S. Curnoe and P. C. E. Stamp, Phys. Rev. Lett. 80, 3312 (1998).
68. K. Miyake and C. M. Varma, Solid State Commun. 85, 335 (1993); S. Curnoe and P. C. E. Stamp, Phys. Rev. Lett. 80, 3312 (1998).
69. G. W. Martin, D. L. Maslov, and M. Yu. Reizer, Phys. Rev. B 68, 241309(R) (2003).
70. Y.-W. Tan, J. Zhu, H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West (private communication).
71. F. Stern, Phys. Rev. Lett. 18, 546 (1967).
72. A. V. Chaplik, Sov. Phys. JETP 33, 997 (1971); see also F. Stern, Phys. Rev. Lett. 30, 278 (1973).
73. A. V. Chaplik, Sov. Phys. JETP 33, 997 (1971); see also F. Stern, Phys. Rev. Lett. 30, 278 (1973).
74. P. Noziéres, Theory of Interacting Fermi Systems (Benjamin, New York, 1964).
75. L. Hedin, Phys. Rev. 139, A796 (1965).
76. G. D. Mahan and B. E. Sernelius, Phys. Rev. Lett. 62, 2718 (1989).
77. H. M. Böhm, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 8, 781 (1996); S. Conti, R. Nifosì, and M. P. Tosi, ibid. 9, L475 (1997); R. Nifosì, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12 758 (1998); G. Vignale and W. Kohn, in Electronic Density Functional Theory, Recent Progress and New Directions, edited by J. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), p. 199; Z. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002); 68, 195113 (2003).
78. H. M. Böhm, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 8, 781 (1996); S. Conti, R. Nifosì, and M. P. Tosi, ibid. 9, L475 (1997); R. Nifosì, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12 758 (1998); G. Vignale and W. Kohn, in Electronic Density Functional Theory, Recent Progress and New Directions, edited by J. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), p. 199; Z. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002); 68, 195113 (2003).
79. H. M. Böhm, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 8, 781 (1996); S. Conti, R. Nifosì, and M. P. Tosi, ibid. 9, L475 (1997); R. Nifosì, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12 758 (1998); G. Vignale and W. Kohn, in Electronic Density Functional Theory, Recent Progress and New Directions, edited by J. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), p. 199; Z. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002); 68, 195113 (2003).
80. H. M. Böhm, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 8, 781 (1996); S. Conti, R. Nifosì, and M. P. Tosi, ibid. 9, L475 (1997); R. Nifosì, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12 758 (1998); G. Vignale and W. Kohn, in Electronic Density Functional Theory, Recent Progress and New Directions, edited by J. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), p. 199; Z. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002); 68, 195113 (2003).
81. H. M. Böhm, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 8, 781 (1996); S. Conti, R. Nifosì, and M. P. Tosi, ibid. 9, L475 (1997); R. Nifosì, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12 758 (1998); G. Vignale and W. Kohn, in Electronic Density Functional Theory, Recent Progress and New Directions, edited by J. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), p. 199; Z. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002); 68, 195113 (2003).
82. H. M. Böhm, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 8, 781 (1996); S. Conti, R. Nifosì, and M. P. Tosi, ibid. 9, L475 (1997); R. Nifosì, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12 758 (1998); G. Vignale and W. Kohn, in Electronic Density Functional Theory, Recent Progress and New Directions, edited by J. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), p. 199; Z. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002); 68, 195113 (2003).
83. A. Holas, in Strongly Coupled Plasma Physics, edited by F. J. Rogers and H. E. DeWitt (Plenum, New York, 1986), p. 463; G. E. Santoro and G. F. Giuliani, Phys. Rev. B 37, 4813 (1988); G. Vignale, ibid. 38, 6445 (1988).
84. A. Holas, in Strongly Coupled Plasma Physics, edited by F. J. Rogers and H. E. DeWitt (Plenum, New York, 1986), p. 463; G. E. Santoro and G. F. Giuliani, Phys. Rev. B 37, 4813 (1988); G. Vignale, ibid. 38, 6445 (1988).
85. A. Holas, in Strongly Coupled Plasma Physics, edited by F. J. Rogers and H. E. DeWitt (Plenum, New York, 1986), p. 463; G. E. Santoro and G. F. Giuliani, Phys. Rev. B 37, 4813 (1988); G. Vignale, ibid. 38, 6445 (1988).
86. 13,18 or calculated by refined theories of the ground-state energy [see, e.g., R. Asgari, B. Davoudi, and M. P. Tosi, Solid State Commun. 131, 301 (2004) for the 2D EG].
87. Y. Isawa and H. Yasuhara, Solid State Commun. 46, 807 (1983); S. Nagano, K. S. Singwi, and S. Ohnishi, Phys. Rev. B 29, 1209 (1984); 31, 3166 (1985); R. Asgari, M. Polini, B. Davoudi, and M. P. Tosi, Solid State Commun. 125, 139 (2003).
88. Y. Isawa and H. Yasuhara, Solid State Commun. 46, 807 (1983); S. Nagano, K. S. Singwi, and S. Ohnishi, Phys. Rev. B 29, 1209 (1984); 31, 3166 (1985); R. Asgari, M. Polini, B. Davoudi, and M. P. Tosi, Solid State Commun. 125, 139 (2003).
89. Y. Isawa and H. Yasuhara, Solid State Commun. 46, 807 (1983); S. Nagano, K. S. Singwi, and S. Ohnishi, Phys. Rev. B 29, 1209 (1984); 31, 3166 (1985); R. Asgari, M. Polini, B. Davoudi, and M. P. Tosi, Solid State Commun. 125, 139 (2003).
90. Y. Isawa and H. Yasuhara, Solid State Commun. 46, 807 (1983); S. Nagano, K. S. Singwi, and S. Ohnishi, Phys. Rev. B 29, 1209 (1984); 31, 3166 (1985); R. Asgari, M. Polini, B. Davoudi, and M. P. Tosi, Solid State Commun. 125, 139 (2003).
91. G. F. Giuliani and J. J. Quinn, Phys. Rev. B 26, 4421 (1982).
92. D* could be interpreted as a quantum-phase transition of the 2D EG to a non-Fermi-liquid state.
93. Y. Zhang and S. Das Sarma, Phys. Rev. B 71, 045322 (2005).
94. R. Asgari, B. Davoudi, and B. Tanatar, Solid State Commun. 130, 13 (2004).
95. S. Conti, Ph.D. Thesis, Scuola Normale Superiore, 1997 (unpublished).