What can be learned about the Mott transition from the physics of Anderson impurities

AIP Conference Proceedings

Volumn 918, Issue , 2007, Pages 3-81

  Fabrizio, Michele ^a,b  

^a DEMOCRITOS NATIONAL SIMULATION CENTER   (Italy)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

Kondo effect; Mott transition

Indexed keywords

EID: 34548722803     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2751989     Document Type: Conference Paper

References (54)

1. N. Mott, Proc. Phys. Soc. (London) 62, 416 (1949).
2. N. Mott, Metal Insulator Transition, Taylor and Francis, London, 1990.
3. J. Hubbard, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 276, 238-257 (1963).
4. J. Hubbard, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 277, 237-259 (1964).
5. J. Hubbard, Royal Society ofLondon Proceedings Series A 281, 401-419 (1964).
6. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
7. S. Sorella, Phys. Rev. B 71, 241103 (2005).
8. M. Capello, F. Becca, M. Fabrizio, S. Sorella, and E. Tosatti, Phys. Rev. Lett. 94, 026406 (2005).
9. S. Sorella, G. B. Martins, F. Becca, C. Gazza, L. Capriotti, A. Parola, and E. Dagotto, Phys. Rev. Lett. 88, 117002 (2002).
10. G. Misguich, and C. Lhuillier, "Two-dimensional quantum antiferromagnets," in Frustrated Spin Systems, edited by H. Diep, World-Scientific, Singapore, 2005, p. 981, and references therein.
11. A. Millis, Phys. Rev. B 48, 7183 (1993).
12. P. Coleman, C. Pepin, Q. Si, and R. Ramazashvili, J. Phys.: Condens. Matter 13, 723 (2001).
13. Q. Si, Advances in Solid State Physics AA, 253 (2004).
14. A. Georges, and G. Kotliar, Phys. Rev. B 45, 6479-6483 (1992).
15. W. Metzner, and D. Vollhardt, Phys. Rev. Lett. 59, 121-124 (1987).
16. W. Metzner, and D. Vollhardt, Phys. Rev. B 37, 7382-7399 (1988).
17. A. I. Lichtenstein, and M. I. Katsnelson, Phys. Rev. B 62, R9283-R9286 (2000).
18. D. Senechal, D. Perez, and M. Pioro-Ladriere, Phys. Rev. Lett. 84, 522 (2000).
19. M. Potthoff, M. Aichhorn, and C. Dahnken, Phys. Rev. Lett. 91, 206402 (2003).
20. G. Kotliar, S. Y. Savrasov, G. Pálsson, and G. Biroli, Phys. Rev. Lett. 87, 186401 (2001).
21. T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. 11, 1027 (2005).
22. P. W. Anderson, Phys. Rev. 124, 41-53 (1961).
23. A. Hewson, The Kondo Problem to Heavy Fermions, Cambridge University Press, 1997.
24. J. Friedel, Nuovo Cimento 7, 287-311 (1958).
25. A. A. Abrikosov, Physics 2, 5-20 (1965).
26. J. Kondo, Progress of Theoretical Physics 32, 37-49 (1964).
27. P. W. Anderson, Journal of Physics C: Solid State Physics 3, 2436-2441 (1970).
28. K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975).
29. N. Andrei, Phys. Rev. Lett. 45, 379-382 (1980).
30. A. M. Tsvelik, and P. B. Wiegmann, Advances in Physics 32, 453-713 (1983).
31. W. F. Brinkman, and T. M. Rice, Phys. Rev. B 2, 4302-4304 (1970).
32. H. R. Krishnamurthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1003 (1980).
33. H. R. Krishnamurthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1044 (1980).
34. I. Affleck, ACTA PHYS.POLON.B 26, 1869 (1995).
35. I. Affleck, and A. W. W. Ludwig, Nucl. Phys. B352, 849-862 (1991).
36. P. Di Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory, Springer, 1996.
37. A. Gogolin, A. Nersesyan, and A. Tsvelik, Bosonization and strongly correlated systems, Cambridge University Press, 1998.
38. J. L. Cardy, Nucl. Phys. B324, 581 (1989).
39. I. Affleck, and A. W. W. Ludwig, Nucl. Phys. B360, 641-696 (1991).
40. M. Capone, M. Fabrizio, and E. Tosatti, Physical Review Letters 86, 5361-5364 (2001).
41. M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, Science 296, 2364 (2002).
42. M. Fabrizio, A. F. Ho, L. De Leo, and G. E. Santoro, Phys. Rev. Lett. 91, 246402 (2003).
43. L. D. Leo, and M. Fabrizio, Phys. Rev. B 69, 245114 (2004).
44. M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, Phys. Rev. Lett. 93, 047001 (2004).
45. M. Ferrera, L. De Leo, P. Lecheminant, and M. Fabrizio, Strong correlations in a nutshell (2007), URL http://www.citebase.org/abstract?id=oal: arXiv.org:cond-mat/07%02629.
46. B. A. Jones, and C. M. Varma, Phys. Rev. B 40, 324 (1989).
47. B. A. Jones, C. M. Varma, and J. W. Wilkins, Phys. Rev. Lett. 61, 125 (1988).
48. B. A. Jones, and C. M. Varma, Phys. Rev. B 40, 324 (1989).
49. I. Affleck, and A. W. W. Ludwig, Phys. Rev. Lett. 68, 1046 (1992).
50. I. Affleck, A. W. W. Ludwig, and B. A. Jones, Phys. Rev. B 52, 9528 (1995).
51. I. Affleck, and A. W. W. Ludwig, Phys. Rev. Lett. 67, 161-164 (1991).
52. P. Nozières, J. Low Temp. Phys. 17, 31 (1974).
53. L. Mihaly, and A. Zawadowski, J Phys. Lett. (France) 39, L483-6 (1978).
54. A. Yoshimori, and A. Zawadowski, Journal of Physics C: Solid State Physics 15, 5241-5253 (1982).