Bounded Luttinger liquids as a universality class of quantum critical behavior

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 12, 2000, Pages 7930-7940

  Voit, Johannes ^a   Wang, Yupeng ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b INSTITUTE OF PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000733757     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.7930     Document Type: Article

References (52)

1. K. Binder, in Phase Transition and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic Press, London, 1983), Vol. 8.
2. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nucl. Phys. B 241, 333 (1984).
3. D. Friedan, Z. Qiu, and S. H. Shenker, Phys. Rev. Lett. 52, 1575 (1984).
4. J. L. Cardy, J. Phys. A 17, L385 (1984).
5. H. Blöte, J. L. Cardy, and P. Nightingale, Phys. Rev. Lett. 56, 742 (1986).
6. Phys. Rev. Lett.I. Affleck, 56, 746 (1986).
7. H. Frahm and V. E. Korepin, Phys. Rev. B 42, 10 553 (1990).
8. J. Voit, Rep. Prog. Phys. 58, 977 (1995), for a review on Luttinger liquids and the properties of strongly correlated 1D electron systems.
9. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
10. F. D. M. Haldane, Phys. Rev. Lett. 45, 1358 (1980).
11. F. D. M. Haldane, Phys. Lett. 81A, 153 (1981).
12. H. J. Schulz, Phys. Rev. Lett. 64, 2831 (1990).
13. J. L. Cardy, Nucl. Phys. B 240, 514 (1984).
14. Y. Wang, J. Voit, and F.-C. Pu, Phys. Rev. B 54, 8491 (1996).
15. S. Fujimoto and N. Kawakami, Phys. Rev. B 54, 5784 (1996).
16. M. Gaudin, Phys. Rev. A 4, 386 (1971).
17. H. Schulz, J. Phys. C 18, 581 (1985).
18. F. Woynarovich, Phys. Lett. 108A, 401 (1985).
19. A. Foerster and M. Karowski, Nucl. Phys. B 396, 611 (1993).
20. H. Asakawa and M. Suzuki, J. Phys. A 29, 225 (1996).
21. J. Phys. AG. Bedürftig and H. Frahm, 30, 4139 (1997).
22. M. Fabrizio and A. O. Gogolin, Phys. Rev. B 51, 17 827 (1995).
23. S. Eggert, H. Johannesson, A. Mattsson, Phys. Rev. Lett. 76, 1505 (1996).
24. A. E. Mattsson, S. Eggert, and H. Johannesson, Phys. Rev. B 56, 15 615 (1997).
25. G. Bedürftig, B. Brendel, H. Frahm, and R. M. Noack, Phys. Rev. B 58, 10 225 (1998).
26. P. Schmitteckert and U. Eckern, Phys. Rev. B 53, 15 397 (1996).
27. I. Affleck and S. Eggert, Phys. Rev. B 46, 10 866 (1992).
28. K. Schönhammer, V. Meden, W. Metzner, U. Schollwöck, and O. Gunnarsson, cond-mat/9903121 (unpublished).
29. B. Dardel, D. Malterre, M. Grioni, P. Weibel, Y. Baer, J. Voit, and D. Jérôme, Europhys. Lett. 24, 687 (1993).
30. F. Zwick, S. Brown, G. Margaritondo, C. Merlic, M. Onellion, J. Voit, and M. Grioni, Phys. Rev. Lett. 79, 3982 (1997).
31. M. Grioni and J. Voit, in Electron Spectroscopies Applied to Low-Dimensional Materials, edited by H. Stanberg und H. Hughes (Kluwer, Dordrecht, 1999).
32. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. 68, 1220 (1992).
33. M. Rother, W. Wegscheider, R. A. Deutschmann, M. Bichler, and G. Abstreiter (unpublished).
34. M. Bockrath, D. H. Cobden, J. Liu, A. G. Rinzler, R. E. Smalley, L. Balents, and P. L. McEuen, Nature (London) 397, 598 (1999).
35. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
36. H. Frahm and V. E. Korepin, Phys. Rev. B 43, 5653 (1991).
37. I. Affleck and M. Oshikawa, cond-mat/9905002 (unpublished).
38. N. M. Bogoliubov, A. G. Izergin, and V. E. Korepin, Nucl. Phys. B 275, 687 (1986).
39. K. Kawano and M. Takahashi, J. Phys. Soc. Jpn. 64, 4331 (1995).
40. K. Penc, K. Hallberg, F. Mila, and H. Shiba, Phys. Rev. B 55, 15 475 (1997).
41. R. Egger and H. Grabert, Phys. Rev. Lett. 75, 3505 (1995).
42. J. Voit, J. Phys. C 21, L-1141 (1988).
43. C. Bourbonnais, F. Creuzet, D. Jérome, K. Bechgaard, and A. Moradpour, J. Phys. (France) Lett. 45, L-755 (1984).
44. P. Wzietek, F. Creuzet, C. Bourbonnais, D. Jérome, and A. Moradpour, J. Phys. I 3, 171 (1993).
45. T. Giamarchi, Phys. Rev. B 44, 2905 (1991).
46. A. Schwartz, M. Dressel, G. Grüner, V. Vescoli, L. Degiorgi, and T. Giamarchi, Phys. Rev. B 58, 1261 (1998).
47. J. Moser, M. Gabay, P. Auban-Senzier, D. Jërome, K. Bechgaard, and J. M. Fabre, Eur. Phys. J. B 1, 39 (1998).
48. J. Voit, Phys. Rev. B 47, 6740 (1993).
49. V. Meden and K. Schönhammer, Phys. Rev. B 46, 15 753 (1992).
50. This possibility can be investigated in special models for the Kondo effect in Luttinger liquids which produce “Fermi-liquid-like thermodynamics,” see, e.g., A. Schiller and K. Ingersent, Phys. Rev. B 51, 4676 (1995).
51. Y. Wang and J. Voit, Phys. Rev. Lett. 77, 4934 (1996).
52. C. Winkelholz, R. Fazio, F. W. J. Hekking, and G. Schön, Phys. Rev. Lett. 77, 3200 (1996).