Scaling study of the metal-insulator transition in one-dimensional fermion systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 23, 2002, Pages 2351081-2351087

  Gu, Shi Jian ^a   Pereira, Vitor M ^b,c   Peres, N M R ^d  

^a UNIVERSITY OF ÉVORA   (Portugal)

^b Boston University   (United States)

^c UNIVERSITY OF PORTO   (Portugal)

^d UNIVERSITY OF MINHO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

METAL;

ARTICLE; CONDUCTANCE; CRYSTAL STRUCTURE; MATHEMATICAL ANALYSIS; METAL BINDING; MOLECULAR MODEL; PHASE TRANSITION; PHYSICAL PARAMETERS; RIGIDITY;

EID: 0345014296     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. H.A. Bethe, Z. Phys. 71, 205 (1931); in The Many-Body Problem - An Encyclopedia of Exactly Solved Models in One Dimension, edited by Daniel C. Mattis (World Scientific, Singapore, 1993), p. 689.
2. H.A. Bethe, Z. Phys. 71, 205 (1931); in The Many-Body Problem - An Encyclopedia of Exactly Solved Models in One Dimension, edited by Daniel C. Mattis (World Scientific, Singapore, 1993), p. 689.
3. Minorou Takahashi, Thermodynamics of one-dimensional Solvable Models (Cambridge University Press, Cambridge, 1999), and references therein.
4. J.M.P. Carmelo, N.M.R. Peres, and P.D. Sacramento, Phys. Rev. Lett. 84, 4673 (2000).
5. D.N. Aristov, Vadim V. Cheianov, and A. Luther, cond-mat/0203273 (unpublished).
6. J. M. P. Carmelo, J. M. B. Lopes dos Santos, L. M. Martelo, and P. D. Sacramento (unpublished).
7. J.M.P. Carmelo, P. Horsch, and A.A. Ovchinnikov, Phys. Rev. B 46, 14 728 (1992).
8. Walter Kohn, Phys. Rev. 133, A171 (1964).
9. H. Castella, X. Zotos, and P. Prelovsek, Phys. Rev. Lett. 47, 972 (1995).
10. X. Zotos and P. Prelovšek, Phys. Rev. B 53, 983 (1996).
11. X. Zotos, Phys. Rev. Lett. 82, 1764 (1999).
12. A.V. Sologubenko, K. Giannò, H.R. Ott, A. Vietkine, and A. Revcolevschi, Phys. Rev. B 64, 054412 (2001).
13. K.R. Thurber, A.W. Hunt, T. Imai, and F.C. Chou, Phys. Rev. Lett. 87, 247202 (2001).
14. V.R. Vieira, N. Guihery, J.P. Rodriguez, and P.D. Sacramento, Phys. Rev. B 63, 224417 (2001); P.D. Sacramento and V.R. Vieira, J. Phys.: Condens. Matter 14, 591 (2002).
15. V.R. Vieira, N. Guihery, J.P. Rodriguez, and P.D. Sacramento, Phys. Rev. B 63, 224417 (2001); P.D. Sacramento and V.R. Vieira, J. Phys.: Condens. Matter 14, 591 (2002).
16. B.S. Shastry and Bill Sutherland, Phys. Rev. Lett. 65, 1833 (1990).
17. J.V. Alvarez and Claudius Gros, Phys. Rev. Lett. 88, 077203 (2002).
18. N.M.R. Peres, P.D. Sacramento, D.K. Campbell, and J.M.P. Carmelo, Phys. Rev. B 59, 7382 (1999).
19. Satoshi Fujimoto and Norio Kawakami, J. Phys. A 31, 465 (1998).
20. N.M.R. Peres, R.G. Dias, P.D. Sacramento, and J.M.P. Carmelo, Phys. Rev. B 61, 5169 (2000).
21. Nicolas Laflorencie, Sylvain Capponi, and Erik S. Sørensen, cond-mat/0105462 (unpublished).
22. C.A. Stafford, A.J. Millis, and B.S. Shastry, Phys. Rev. B 43, 13 660 (1991); C.A. Stafford and A.J. Millis, ibid. 48, 1409 (1993).
23. C.A. Stafford, A.J. Millis, and B.S. Shastry, Phys. Rev. B 43, 13 660 (1991); C.A. Stafford and A.J. Millis, ibid. 48, 1409 (1993).
24. D. C. Mattis, The Theory of Magnetism 1, 2nd ed. (Springer, New York, 1998), p. 91.
25. Jacques Des Cloizeaux and J.J. Pearson, Phys. Rev. 128, 2131 (1962); Jacques Des Cloizeaux and Michel Gaudin, J. Math. Phys. 7, 1384 (1966).
26. Jacques Des Cloizeaux and J.J. Pearson, Phys. Rev. 128, 2131 (1962); Jacques Des Cloizeaux and Michel Gaudin, J. Math. Phys. 7, 1384 (1966).
27. M. Gaudin, Phys. Rev. Lett. 26, 1301 (1971).
28. Milton Abramowitz and Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, New York, 1970), Chap. 16.
29. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, New York, 1982), p. 155.
30. The minimization studies and the calculation of correlation lengths and energy gaps from the analysis of small systems in the XXZ model was first done by Vitor M. Pereia in his degree thesis. Vitor M. Pereira and J. M. B. Lopes dos Santos (unpublished).