Electronic states, Mott localization, electron-lattice coupling, and dimerization for correlated one-dimensional systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 3, 2002, Pages 1-15

  Rycerz, Adam ^a   Spałek, Jozef ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038301652     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.035110     Document Type: Article

References (54)

1. R. O. Jones and O. Gunnarson, Rev. Mod. Phys. 61, 689 (1989);
2. W. Pickett, 61, 433 (1989);
3. W. M. Temmerman, A. Svane, Z. Szostek, and H. Winter, in Electronic Density Functional Theory: Recent Progress and New Directions, edited by J. F. Dobson, G. Vignale, and H. Das (Plenum, New York, 1998), pp. 327-347.
4. The question of the importance of intersite interaction within the context of parametrized models for low-dimensional systems was addressed by a number of authors. See J. Hubbard, Phys. Rev. B 17, 494 (1978);
5. J. Kondo and K. Yamai, J. Phys. Soc. Jpn. 43, 424 (1977);
6. A. A. Ovchinnikov, Mod. Phys. Lett. B 7, 1397 (1993);
7. S. Caponi, D. Poilblanc, and T. Giamarchi, Phys. Rev. B 61, 13 410 (2000);
8. R. Strack and D. Vollhardt, Phys. Rev. Lett. 70, 2637 (1993);
9. L. Arachea and A. A. Aligia, 73, 2240 (1994).
10. For a review, see H. J. Schultz, in Correlated Electron Systems, edited by V. J. Emery (World Scientific, Singapore, 1993), p. 199ff;
11. J. Voit, Rep. Prog. Phys. 57, 977 (1995).
12. For experimental results, see C. Kim, Z.-X. Shen, N. Motoyama, H. Eisaki, S. Uchida, T. Tohyama, and S. Maekawa, Phys. Rev. B 56, 15 589 (1997).
13. D. Poilblanc, S. Yunoki, S. Maekawa, and E. Dagotto, Phys. Rev. B 56, R1645 (1997);
14. T. Giamarchi and A. J. Millis, Phys. Rev. B 46, 9325 (1992);
15. S. Daul and R. M. Noack, 61, 1646 (2000).
16. R. E. Peierls, Quantum Theory of Solids (Clarendon Press, Oxford, 1953), p. 108ff;
17. M. J. Rice and S. Strässler, Solid State Commun. 13, 125 (1973);
18. for a discusion of relation to the charge- and spin-density wave states, see, e.g., S. Caprara, M. Avignon, and O. Navarro, Phys. Rev. B 61, 15 667 (2000).
19. The quantum fluctuation in noncorrelated systems was discussed in J. E. Hirsh and E. Fradkin, Phys. Rev. Lett. 49, 402 (1982).
20. A. R. Goni, A. Pinczuk, J. S. Weiner, B. S. Dennis, L. N. Pfeifer, and K. West, Phys. Rev. Lett. 70, 1151 (1993);
21. For a review, see T. Ishiguro, K. Yamaji, and G. Saito, Organic Superconductors (Springer-Verlag, Berlin, 1998).
22. J. W. Mintmire, B. I. Dunlap, and C. T. White, Phys. Rev. Lett. 68, 631 (1992).
23. J. Spałek, R. Podsiadły, W. Wójcik, and A. Rycerz, Phys. Rev. B 61, 15 676 (2000);
24. for a brief review, see J. Spałek et al., Acta Phys. B: Pol. 31, 2879 (2000).
25. A. Rycerz and J. Spałek, Phys. Rev. B 63, 073101 (2001).
26. N. F. Mott, Metal-Insulator Transitions (Taylor and Francis, London, 1990).
27. See, e.g., J. Spałek, J. Solid State Chem. 88, 70 (1990);
28. J. Spałek and W. Wójcik, in Spectroscopy of Mott Insulators and Corre-lated Metals, edited by A. Fujimori and Y. Tokura (Springer-Verlag, Berlin, 1995), p. 41ff.
29. The existence of the Fermi level also appears for finite N, as it expresses the Pauli principle for quasiparticles (exists, for example, for nuclei). The existence of the Fermi discontinuity in interacting gas has been discussed by A. B. Migdal, Zh. Éksp. Teor. Fiz. 32, 399 (1957)
30. [Sov. Phys. JETP 5, 333 (1957)];
31. E. Daniel and S. Vosko, Phys. Rev. 120, 2041 (1960);
32. J. M. Luttinger, Phys. Rev. 119, 1153 (1960);
33. for an interpolation between the high- and the low-density limits see, e.g., N. H. March, W. H. Young, and S. Sampantar, The Many-Body Problem in Quantum Mechanics (Dover, New York, 1995), pp. 166-168.
34. The kinetic exchange integrals defined in this manner are well defined only in the limit (formula presented) For (formula presented), and neglecting (formula presented) they were defined in P. W. Anderson, Phys. Rev. 115, 2 (1959).
35. In general case, they were considered in J. Spałek, A. M. Oleś, and K. A. Chao, Phys. Status Solidi B 108, 329 (1981).
36. R. J. Birgenau and G. Shirane, in Physical Properties of High-Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Singapore, 1989), Vol. 1, p. 151ff, and references therein.
37. The discussion here systematizes to some extent various types of local electron-lattice couplings considered earlier: A. A. Ovchinnikov, Fiz. Tverd. Tela 1, 832 (1965)
38. [Sov. Phys. Solid State 7, 664 (1965)];
39. T. Holstein, Ann. Phys. (N.Y.) 8, 325 (1959);
40. S. Barišić, Phys. Rev. B 22, 2099 (1980);
41. M. Acquarone and C. Noce, Int. J. Mod. Phys. B 13, 3331 (1999).
42. T. Nishino and J. Kanamori, J. Phys. Soc. Jpn. 59, 253 (1990);
43. T. Nishino (unpublished).
44. It is based on the Lanczos method: C. Lanczos, J. Res. Natl. Bur. Stand. 45, 255 (1950);
45. also see J. K. Cullum and R. A. Willonghby, Lanczos Algorithms for Large Symmetric Eigenvalue Computation (Birkhauser, Boston, 1985);
46. E. Dagotto and A. Moreo, Phys. Rev. D 31, 865 (1985).
47. S. Brandt, Statistical and Computational Methods in Data Analysis (Springer-Verlag, New York, 1997).
48. See, e.g., R. L. Burden and J. D. Faires, Numerical Analysis (Prindle, Weber & Schmidt, Boston, 1985).
49. Earlier efforts contain an approximate treatment of correlations in 3D systems combined with ab initio calculations of single-particle states; see V. I. Anisimov, J. Zaanen, and O. K. Andersen, Phys. Rev. B 44, 943 (1991)-the so-called LDA+U;
50. approach J. Spałek and W. Wójcik, 45, 3799 (1992)-the Gutzwiller approach to correlations;
51. G. Stollhoff, Europhys. Lett. 30, 99 (1995)-the so-called local-ansatz+LDA approach.
52. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989);
53. M. Jarrell, 69, 168 (1992).
54. J. Spałek and A. Rycerz, Phys. Rev. B 64, 161105 (2001).