Charge-stripe phases versus a weak anisotropy of nearest-neighbor hopping

Journal of Statistical Physics

Volumn 126, Issue 3, 2007, Pages 467-505

  Derzhko, V ^a   Jedrzejewski J ^a  

^a UNIVERSITY OF WROC AW   (Poland)

Author keywords

Charge stripe phases; Falicov Kimball model; Fermion and hardcore boson lattice systems; Ground state phase diagrams; Hopping anisotropy

Indexed keywords

EID: 33847311404     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9245-1     Document Type: Article

References (24)

1. V. Derzhko and J. Jȩdrzejewski, Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons. Physica A 349:511 (2005).
2. 4.125. Phys. Rev. Lett. 73:1003 (1994).
3. J. M. Tranquada, B. J. Sternlieb, J. D. Axe, Y. Nakamura and S. Uchida, Evidence for stripe correlations of spins and holes in copper oxide superconductors. Nature (Lond.) 375:561 (1995).
4. A. M. Oleś, Stripe phases in high-temperature superconductors. Acta Phys. Polonica B 31:2963 (2000).
5. N. G. Zhang and C. L. Henley, Stripes and holes in a two-dimensional model of spinless fermions or hardcore bosons. Phys. Rev. B 68:014506 (2003).
6. C. L. Henley and N. G. Zhang, Spinless fermions and charged stripes at the strong-coupling limit. Phys. Rev. B 63:233107 (2001).
7. R. Lemański, J. K. Freericks and G. Banach, Stripe phases in the two-dimensional Falicov-Kimball model. Phys. Rev. Lett. 89:196403 (2002).
8. R. Lemański, J. K. Freericks and G. Banach, Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model. J. Stat. Phys. 116:699 (2004).
9. U. Brandt and R. Schmidt, Exact results for the distribution of the f-level ground state occupation in the spinless Falicov-Kimball model. Z. Phys. B 63:45 (1986).
10. T. Kennedy and E. H. Lieb, An itinerant electron model with crystalline or magnetic long range order. Physica A 138:320 (1986).
11. B. Normand and A. P. Kampf, Lattice anisotropy as the microscopic origin of static stripes in cuprates. Phys. Rev. B 64:024521 (2001).
12. B. Normand and A. P. Kampf, Supression of static stripe formation by next-neighbor hopping. Phys. Rev. B 65:020509 R (2001).
13. M. Raczkowski, B. Normand and A. M. Oleś, Vertical and diagonal stripes in the extended Hubbard model. Phys. Stat. Sol. (b) 236:376 (2003).
14. 6 and transition-metal oxides. Phys. Rev. Lett. 22:997 (1969).
15. C. Gruber and N. Macris, The Falicov-Kimball model: A review of exact results and extensions. Helv. Phys. Acta 69:850 (1996).
16. J. Jȩdrzejewski and R. Lemański, Falicov-Kimball models of collective phenomena in solids (a concise guide). Acta Phys. Pol. B 32:3243 (2001).
17. C. Gruber and D. Ueltschi, The Falicov-Kimball model, arXiv:math-ph/0502041.
18. C. Gruber, J. Jȩdrzejewski and P. Lemberger, Ground states of the spinless Falicov-Kimball model. II. J. Stat. Phys. 66:913 (1992).
19. N. Datta, R. Fernández and Jürg Fröhlich, Effective Hamiltonians and phase diagrams for tight-binding models. J. Stat. Phys. 96:545 (1999).
20. C. Gruber, N. Macris, A. Messager and D. Ueltschi, Ground states and flux configurations of the two-dimensional Falicov-Kimball model. J. Stat. Phys. 86:57 (1997).
21. J. Slawny, Low-temperature properties of classical lattice systems: Phase transitions and phase diagrams, In: C. Domb and J. Lebowitz (Eds.), Phase Transitions and Critical Phenomena vol. 11, (Academic Press, London/New York 1985).
22. T. Kennedy, Some rigorous results on the ground states of the Falicov-Kimball model. Rev. Math. Phys. 6:901 (1994).
23. V. Derzhko and J. Jȩdrzejewski, From phase separation to long-range order in a system of interacting electrons. Physica A 328:449 (2003).
24. R. T. Rockafellar, Convex Analysis, Princeton University Press, 1979.