Effect of electron correlation on the Bragg reflection

Journal of the Physical Society of Japan

Volumn 70, Issue 1, 2001, Pages 21-24

  Takada, Yasutami ^a   Kido, Manabu ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Band insulator; Bragg reflection; Electron correlation; Hubbard model; Luttinger liquid; Mott insulator

Indexed keywords

EID: 0035580191     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.21     Document Type: Article

References (23)

1. D. G. Clarke, S. P. Strong, P. M. Chaikin and E. I. Chashechkina: Science 279 (1998) 2071.
2. See, for example, a recent review: M, Imada, A. Fujimori and Y. Tokura: Rev. Mod. Phys. 70 (1998) 1039.
3. M. Avignon, C. A. Balseiro, C. R. Proetto and B. Alascio: Phys. Rev. B 33 (1986) 205.
4. N. Nagaosa and J. Takimoto: J. Phys. Soc. Jpn. 55 (1986) 2735.
5. N. Nagaosa: J. Phys. Soc. Jpn. 55 (1986) 2754.
6. T. Egami, S. Ishihara and M. Tachiki: Science 261 (1993) 1307.
7. G. Ortiz and H. Martin: Phys. Rev. B 49 (1991) 14202.
8. R. Resta and S. Sorella: Phys. Rev. Lett. 82 (1999) 370.
9. K. Schönhammer, O. Gunnarsson and R. M. Neack: Phys. Rev. B 52 (1995) 2501.
10. N. Gidopoulos, S. Sorella and E. Tosatti: cond-mat /9905118.
11. M Tsuchiizu and Y. Suzumura: J. Phys. Soc. Jpn. 68 (1999) 3966.
12. S. R. White: Phys. Rev. B 48 (1993) 10345.
13. M. Fabrizio, A. O. Gogolin and A. A. Nersesyan: Phys. Rev. Lett. 83 (1999) 2014.
14. B = 1.
15. This result was derived in: V. Heine, P. Nozières and J. W. Wilkins: Phil. Mag. 13 (1966) 741, but in this paper we rederive and interpret it from a new point of view.
16. S. Morini, D. M. Ceperley and G. Senatore: Phys. Rev. Lett. 75 (1995) 689.
17. J. Sólyom: Adv. Phys. 28 (1979) 201.
18. κF/2.
19. 3\.
20. Strictly speaking, the present discussion is valid only for infinitesimally small V, because we use the linear response theory. For finite V, we should consider flows in the renormalization-group approach in the system of T + U +V rather than T + U and observe whether the fixed point exists at V = 0 or not. However, based on the physical argument in the next paragraph in the main text, we believe that our statement drawn at infinitesimally small V holds as well at finite V as long as it is sufficiently small.
21. E. H. Lieb and F. Y. Wu: Phys. Rev. Lett. 20 (1368) 1445.
22. 13) proposed a mechanism of spin-gap generation (leading to a spontaneous spin dimerization) in terms of the effective Hamiltonian for the spin sector obtained by integrating out the charge degrees of freedom. This out integration is physically acceptable only when the charge gap is finite, namely, the charge degrees of freedom are frozen for the physics of very low energies.
23. c2 with nonzero values in between.