Magnetic impurity in a Luttinger liquid: A conformal field theory approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 6, 1996, Pages 3211-3236

  Fröjdh, Per ^a   Johannesson, Henrik ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040924383     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.3211     Document Type: Article

References (50)

1. For a comprehensive review, see A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993).
2. P. Nozières, in Proceedings of the 14th International Conference on Low-Temperature Physics, edited by M. Krusius and M. Vuorio (North-Holland, Amsterdam, 1974).
3. P. Nozières and A. Blandin, J. Phys. (Paris) 41, 193 (1980).
4. G. Timp, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (Elsevier, Amsterdam, 1991).
5. F. P. Milliken, C. P. Umbach, and R. A. Webb (unpublished).
6. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. 68, 1220 (1992).
7. C. L. Kane and M. P. A. Fisher, Phys. Rev. B 46, 7268 (1992).
8. V. J. Emery and S. Kivelson, Phys. Rev. B 46, 10t812 (1992).
9. K. Vladár and A. Zawadowski, Phys. Rev. B 28, 1564 (1983).
10. K. Vladár and A. Zawadowski, Phys. Rev. B 28, 1582 (1983).
11. D. L. Cox, Phys. Rev. Lett. 59, 1240 (1987).
12. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
13. For a review, see, e.g., H. J. Schulz, Int. J. Mod. Phys. B 5, 57 (1991).
14. D.-H. Lee and J. Toner, Phys. Rev. Lett. 69, 3378 (1992).
15. A. Furusaki and N. Nagaosa, Phys. Rev. Lett. 72, 892 (1994).
16. S. Eggert and I. Affleck, Phys. Rev. B 46, 10t866 (1992).
17. P. Fröjdh and H. Johannesson, Phys. Rev. Lett. 75, 300 (1995).
18. P. Fröjdh and H. Johannesson, J. Low Temp. Phys. 99, 325 (1995).
19. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950).
20. J. M. Luttinger, J. Math. Phys. 4, 1154 (1963).
21. J. Sólyom, Adv. Phys. 28, 201 (1979).
22. V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by J. T. Devreese, R. P. Evrard, and V. E. van Doren (Plenum, New York, 1979).
23. I. Affleck, Nucl. Phys. B336, 517 (1990).
24. I. Affleck and A. W. W. Ludwig, Nucl. Phys. B360, 641 (1991).
25. I. Affleck and A. W. W. Ludwig, Phys. Rev. Lett. 67, 3160 (1991).
26. J. L. Cardy, in Infinite Lie Algebras and Conformal Invariance in Condensed Matter and Particle Physics, edited by K. Dietz and V. Rittenberg (World Scientific, Singapore, 1986).
27. J. L. Cardy, Nucl. Phys. B324, 581 (1989).
28. J. L. Cardy and D. C. Lewellen, Phys. Lett. B 259, 274 (1991).
29. I. Affleck and A. W. W. Ludwig, Phys. Rev. Lett. 68, 1046 (1992).
30. I. Affleck, in Fields, Strings and Critical Phenomena, edited by E. Brézin and J. Zinn-Justin (North-Holland, Amsterdam, 1990).
31. I. Affleck, A. W. W. Ludwig, H.-B. Pang and D. L. Cox, Phys. Rev. B 45, 7918 (1992).
32. Although a local potential is generated by the Kondo coupling λ [see P. Nozières, J. Phys. (Paris) 39, 1117 (1978)], it cannot simulate a realistic case — such as a magnetic ion trapped in a quantum wire — where one expects V≫:λ, V being the strength of the screened Coulomb potential.
33. M. Fabrizio and A. O. Gogolin, Phys. Rev. B 51, 17t827 (1995).
34. F. Woynarovich, J. Phys. A 22, 4243 (1989).
35. H. Frahm and V. E. Korepin, Phys. Rev. B 42, 10t553 (1990).
36. For a review, see N. Kawakami and S.-K. Yang, Prog. Theor. Phys. Suppl. 107, 59 (1992).
37. D. G. Clarke, T. Giamarchi and B. I. Shraiman, Phys. Rev. B 48, 7070 (1993).
38. V. G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys. B247, 83 (1984).
39. This trick was first discussed in the literature by E. Wong and I. Affleck, Nucl. Phys. B417, 403 (1994).
40. P. Goddard, A. Kent and D. Olive, Commun. Math. Phys. 103, 105 (1986).
41. J. L. Cardy, J. Phys. A 17, L385 (1984).
42. J. L. Cardy, Nucl. Phys. 275, 200 (1986).
43. H. W. J. Blöte, J. L. Cardy and M. P. Nightingale, Phys. Rev. Lett. 56, 742 (1986).
44. I. Affleck, Phys. Rev. Lett. 56, 746 (1986).
45. L. P. Kadanoff and A. C. Brown, Ann. Phys. 121, 318 (1979).
46. For a review, see P. Ginsparg, in Fields, Strings and Critical Phenomena, edited by E. Brézin and J. Zinn-Justin (North-Holland, Amsterdam, 1990).
47. For a review, see Finite Size Scaling and Numerical Simulation of Statistical Systems, edited by V. Privman (World Scientific, Singapore, 1990).
48. P. W. Anderson, J. Phys. C 3, 2436 (1970).
49. A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Nucl. Phys. B241, 333 (1984).
50. A. Schiller and K. Ingersent, Phys. Rev. B 51, 4676 (1995).