Dynamical density correlation function of one-dimensional mott insulators in a magnetic field

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 16, 2002, Pages 1651121-1651127

  Controzzi, Davide ^a,b   Essler, Fabian H L ^c  

^a PRINCETON UNIVERSITY   (United States)

^b SISSA   (Italy)

^c BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CORRELATION FUNCTION; DENSITY; ENERGY; MAGNETIC FIELD; MODEL; PHYSICS; THEORY;

EID: 0037110006     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (50)

1. N. F. Mott, Metal-Insulator Transitions, 2nd Ed. (Taylor & Francis, London, 1990); F. Gebhard, The Mott Metal-Insulator Transition (Springer, Berlin, 1997).
2. N. F. Mott, Metal-Insulator Transitions, 2nd Ed. (Taylor & Francis, London, 1990); F. Gebhard, The Mott Metal-Insulator Transition (Springer, Berlin, 1997).
3. C. Kim, Z. X. Shen, N. Montoyama, H. Eisaki, S. Uchida, T. Tohyama, and S. Maekawa, Phys. Rev. B 56, 15 589 (1997).
4. R. Neudert et al., Phys. Rev. Lett. 81, 657 (1998).
5. F. Gebhard, K. Bott, M. Scheidler, P. Thomas, and S. W. Koch, Philos. Mag. B 75, 1 (1997); ibid. 75, 13 (1997); ibid. 75, 47 (1997); F. B. Gallagher and S. Mazumdar, Phys. Rev. B 56, 15 025 (1997).
6. F. Gebhard, K. Bott, M. Scheidler, P. Thomas, and S. W. Koch, Philos. Mag. B 75, 1 (1997); ibid. 75, 13 (1997); ibid. 75, 47 (1997); F. B. Gallagher and S. Mazumdar, Phys. Rev. B 56, 15 025 (1997).
7. F. Gebhard, K. Bott, M. Scheidler, P. Thomas, and S. W. Koch, Philos. Mag. B 75, 1 (1997); ibid. 75, 13 (1997); ibid. 75, 47 (1997); F. B. Gallagher and S. Mazumdar, Phys. Rev. B 56, 15 025 (1997).
8. F. Gebhard, K. Bott, M. Scheidler, P. Thomas, and S. W. Koch, Philos. Mag. B 75, 1 (1997); ibid. 75, 13 (1997); ibid. 75, 47 (1997); F. B. Gallagher and S. Mazumdar, Phys. Rev. B 56, 15 025 (1997).
9. W. Stephan and K. Penc, Phys. Rev. B 54, 17 269 (1996); K. Penc and W. Stephan, ibid. 62, 12 707 (2000).
10. W. Stephan and K. Penc, Phys. Rev. B 54, 17 269 (1996); K. Penc and W. Stephan, ibid. 62, 12 707 (2000).
11. T. Ishiguro and K. Yamji, Organic Superconductors (Springer-Verlag, Berlin, 1990); C. Bourhonnais and D. Jerome, in Advances in Synthetic Metals, Twenty Years of Progress in Science and Technology, edited by P. Bernier, S. Lefrant, and G. Bidan (Elsevier, New York, 1999), pp. 206-301, and references therein; cond-mat/9903101 (unpublished).
12. C. Bourhonnais and D. Jerome, in Advances in Synthetic Metals, Twenty Years of Progress in Science and Technology, edited by P. Bernier, S. Lefrant, and G. Bidan (Elsevier, New York, 1999), pp. 206-301, and references therein; cond-mat/9903101 (unpublished).
13. C. Bourhonnais and D. Jerome, in Advances in Synthetic Metals, Twenty Years of Progress in Science and Technology, edited by P. Bernier, S. Lefrant, and G. Bidan (Elsevier, New York, 1999), pp. 206-301, and references therein; cond-mat/9903101 (unpublished).
14. A. Luther, Phys. Rev. B 14, 2153 (1976); A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979); H. Bergknoff and H. Thacker, Phys. Rev. D 19, 3666 (1979); V. E. Korepin, Theor. Math. Phys. 41, 169 (1979).
15. A. Luther, Phys. Rev. B 14, 2153 (1976); A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979); H. Bergknoff and H. Thacker, Phys. Rev. D 19, 3666 (1979); V. E. Korepin, Theor. Math. Phys. 41, 169 (1979).
16. A. Luther, Phys. Rev. B 14, 2153 (1976); A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979); H. Bergknoff and H. Thacker, Phys. Rev. D 19, 3666 (1979); V. E. Korepin, Theor. Math. Phys. 41, 169 (1979).
17. A. Luther, Phys. Rev. B 14, 2153 (1976); A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979); H. Bergknoff and H. Thacker, Phys. Rev. D 19, 3666 (1979); V. E. Korepin, Theor. Math. Phys. 41, 169 (1979).
18. H. Frahm and V. E. Korepin, Phys. Rev. B 42, 10 553 (1990); ibid. 43, 5653 (1991).
19. H. Frahm and V. E. Korepin, Phys. Rev. B 42, 10 553 (1990); ibid. 43, 5653 (1991).
20. F. H. L. Essler and H. Frahm, Phys. Rev. B 60, 8540 (1999).
21. F. A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992); M. Karowski and P. Weisz, Nucl. Phys. B 139, 455 (1978); H. Babujian, A. Fring, M. Karowski, and A. Zapletal, ibid. 538, 535 (1999); A. Fring, G. Mussardo, and P. Simonetti, ibid. 393, 413 (1993).
22. F. A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992); M. Karowski and P. Weisz, Nucl. Phys. B 139, 455 (1978); H. Babujian, A. Fring, M. Karowski, and A. Zapletal, ibid. 538, 535 (1999); A. Fring, G. Mussardo, and P. Simonetti, ibid. 393, 413 (1993).
23. F. A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992); M. Karowski and P. Weisz, Nucl. Phys. B 139, 455 (1978); H. Babujian, A. Fring, M. Karowski, and A. Zapletal, ibid. 538, 535 (1999); A. Fring, G. Mussardo, and P. Simonetti, ibid. 393, 413 (1993).
24. F. A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992); M. Karowski and P. Weisz, Nucl. Phys. B 139, 455 (1978); H. Babujian, A. Fring, M. Karowski, and A. Zapletal, ibid. 538, 535 (1999); A. Fring, G. Mussardo, and P. Simonetti, ibid. 393, 413 (1993).
25. S. Lukyanov, Commun. Math. Phys. 167, 183 (1995); Mod. Phys. Lett. A 12, 2911 (1997).
26. S. Lukyanov, Commun. Math. Phys. 167, 183 (1995); Mod. Phys. Lett. A 12, 2911 (1997).
27. E. Jeckelmann, F. Gebhard, and F. H. L. Essler, Phys. Rev. Lett. 85, 3910 (2000).
28. D. Controzzi, F. H. L. Essler, and A. M. Tsvelik, Phys. Rev. Lett. 86, 680 (2001).
29. F. H. L. Essler, F. Gebhard, and E. Jeckelmann, Phys. Rev. B 64, 125119 (2001).
30. F. H. L. Essler and A. M. Tsvelik, Phys. Rev. Lett. 88, 096403 (2002); Phys. Rev. B 65, 115117 (2002).
31. F. H. L. Essler and A. M. Tsvelik, Phys. Rev. Lett. 88, 096403 (2002); Phys. Rev. B 65, 115117 (2002).
32. T. Fujii and N. Kawakami, J. Phys. Soc. Jpn. 68, 2331 (1999).
33. A. O. Gogolin, A. A. Nersesyan, and A. M. Tsvelik, Bosonization and Strongly Correlated Systems, (Cambridge University, Cambridge, England, 1999).
34. O. J. Heilmann and E. H. Lieb, Ann. N.Y. Acad. Sci. 172, 583 (1971); C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989).
35. O. J. Heilmann and E. H. Lieb, Ann. N.Y. Acad. Sci. 172, 583 (1971); C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989).
36. F. Woynarovich, J. Phys. A 22, 4243 (1989).
37. E. Melzer, Nucl. Phys. B443, 553 (1995); see also F. Woynarovich and P. Forgács, Nucl. Phys. B 498, 565 (1997).
38. E. Melzer, Nucl. Phys. B443, 553 (1995); see also F. Woynarovich and P. Forgács, Nucl. Phys. B 498, 565 (1997).
39. F. H. L. Essler and V. E. Korepin, Phys. Rev. Lett. 72, 908 (1994); Nucl. Phys. B 426, 505 (1994).
40. F. H. L. Essler and V. E. Korepin, Phys. Rev. Lett. 72, 908 (1994); Nucl. Phys. B 426, 505 (1994).
41. F. Woynarovich, J. Phys. A 29, L37 (1996); F. Woynarovich and P. Forgács Nucl. Phys. B 538, 701 (1999).
42. F. Woynarovich, J. Phys. A 29, L37 (1996); F. Woynarovich and P. Forgács Nucl. Phys. B 538, 701 (1999).
43. 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); J. W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); M. Nakamura, ibid. 61, 16 377 (2000).
44. 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); J. W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); M. Nakamura, ibid. 61, 16 377 (2000).
45. 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); J. W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); M. Nakamura, ibid. 61, 16 377 (2000).
46. E. Jeckelmann, cond-mat/0204244 (unpublished); Phys. Rev. B 66, 045114 (2002).
47. E. Jeckelmann, cond-mat/0204244 (unpublished); Phys. Rev. B 66, 045114 (2002).
48. J. Cardy and G. Mussardo, Nucl. Phys. B 410, 451 (1993).
49. 2]. This would imply an infinite optical conductvity by Eq. (26), in contradiction to Ref. 13.
50. A. Luther and V. J. Emery, Phys. Rev. Lett. 33, 589 (1974).