Exact Fermi-edge singularity exponent in a Luttinger liquid

Physical Review B - Condensed Matter and Materials Physics

Volumn 56, Issue 3, 1997, Pages 1153-1160

  Komnik, Andrei ^a   Egger, Reinhold ^a   Gogolin, Alexander O ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542449440     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.56.1153     Document Type: Article

References (37)

1. P. W. Anderson, Phys. Rev. Lett. 18, 1049 (1967).
2. P. Nozieres and C. T. De Dominicis, Phys. Rev. 178, 1097 (1969).
3. K. D. Schotte and U. Schotte, Phys. Rev. 182, 479 (1969).
4. K. Schönhammer, Z. Phys. B 45, 23 (1981).
5. G.D. Mahan, Many-Particle Physics (Plenum, New York, 1990).
6. K. Ohtaka and Y. Tanabe, Rev. Mod. Phys. 62, 929 (1990).
7. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993).
8. J. M. Luttinger, J. Math. Phys. (N.Y.) 4, 1154 (1963).
9. D. C. Mattis and E. H. Lieb, 6, 304 (1965).
10. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
11. H. J. Schulz, in Mesoscopic Quantum Physics, Proceedings of the Les Houches Summer School of Theoretical Physics, Session LXI, edited by E. Akkermans et. al (Elsevier, Amsterdam, 1995).
12. J. M. Calleja et al., Solid State Commun. 79, 911 (1991).
13. M. Fritze et al., Surf. Sci. 305, 580 (1994).
14. S. Tarucha, T. Honda, and M. Saku, Solid State Commun. 94, 413 (1995).
15. A. Yacoby et al., Phys. Rev. Lett. 77, 4612 (1996).
16. D. K. K. Lee and Y. Chen, Phys. Rev. Lett. 69, 1399 (1992).
17. T. Ogawa, A. Furusaki, and N. Nagaosa, Phys. Rev. Lett. 68, 3638 (1992).
18. A. O. Gogolin, Phys. Rev. Lett. 71, 2995 (1993).
19. C. L. Kane, K. A. Matveev, and L. I. Glazman, Phys. Rev. B 49, 2253 (1994).
20. N. V. Prokof’ev, Phys. Rev. B 49, 2148 (1994).
21. I. Affleck and A. W. W. Ludwig, J. Phys. A 27, 5375 (1994).
22. Y. Oreg and A. M. Finkel’stein, Phys. Rev. B 53, 10 928 (1996).
23. S. Qin, M. Fabrizio, and Lu Yu, Phys. Rev. B 54, R9643 (1996).
24. C. L. Kane and M. P. A. Fisher, Phys. Rev. B 46, 15 233 (1992).
25. M. Fabrizio and A. O. Gogolin, 51, 17 827 (1995).
26. F. Guinea, Phys. Rev. B 32, 7518 (1985).
27. U. Weiss and M. Wollensak, Phys. Rev. B 37, 2729 (1988).
28. U. Weiss, R. Egger, and M. Sassetti, 52, 16 707 (1995).
29. K. A. Matveev, Phys. Rev. B 51, 1743 (1995); see also
30. A. Furusaki and K. A. Matveev, 52, 16 676 (1995).
31. A. Leclair, F. Lesage, and H. Saleur, Phys. Rev. B 54, 13 597 (1996).
32. V. J. Emery and S. Kivelson, Phys. Rev. B 46, 10 812 (1992).
33. M. Fabrizio and A. O. Gogolin, Phys. Rev. B 50, 17 732 (1995).
34. I. Gohberg and N. Krupnik, One-Dimensional Linear Singular Integral Equations (Birkhäuser, Basel, 1992).
35. N. I. Muskhelishvili, Singular Integral Equations (Nordhoff, Groningen, 1953).
36. D. R. Hamann, Phys. Rev. Lett. 26, 1030 (1971).
37. A. Furusaki (unpublished).