Partially gapped fermions in 2D

Journal of Statistical Physics

Volumn 139, Issue 6, 2010, Pages 1033-1065

  de Woul, Jonas ^a   Langmann, Edwin ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

2D lattice fermion systems; Mean field theory; Phase diagrams

Indexed keywords

EID: 77952412411     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-010-9971-2     Document Type: Article

References (24)

1. Langmann, E.: A two dimensional analogue of the Luttinger model. Lett. Math. Phys. (2010). doi: 10. 1007/s11005-010-0388-2. arXiv: math-ph/0606041v3.
2. Langmann, E.: A 2D Luttinger model. arXiv: 0903. 0055v3 [math-ph].
3. Bonn, D.: Are high-temperature superconductors exotic? Nat. Phys. 2, 159 (2006).
4. Bach, V., Lieb, E., Solovej, J.: Generalized Hartree-Fock theory and the Hubbard model. J. Stat. Phys. 76, 3 (1994).
5. Verges, J. A., Louis, E., Lomdahl, P. S., Guinea, F., Bishop, A. R.: Holes and magnetic textures in the two-dimensional Hubbard model. Phys. Rev. B 43, 6099 (1991).
6. Langmann, E., Wallin, M.: Mean-field approach to antiferromagnetic domains in the doped Hubbard model. Phys. Rev. B 55, 9439 (1997).
7. Langmann, E., Wallin, M.: Mean field magnetic phase diagrams for the two dimensional t-t′-U Hubbard model. J. Stat. Phys. 127, 825 (2007).
8. Mattis, D. C.: Implications of infrared instability in a two-dimensional electron gas. Phys. Rev. B 36, 745 (1987).
9. Schulz, H. J.: Fermi-surface instabilities of a generalized two-dimensional Hubbard model. Phys. Rev. B 39, 2940 (1989).
10. Luther, A.: Interacting electrons on a square Fermi surface. Phys. Rev. B 50, 11446 (1994).
11. Furukawa, N., Rice, T. M., Salmhofer, M.: Truncation of a two-dimensional Fermi surface due to quasiparticle gap formation at the saddle points. Phys. Rev. Lett. 81, 3195 (1998).
12. Czart, W. R., Robaszkiewicz, S., Tobijaszewska, B.: Charge ordering and phase separations in the spinless fermion model with repulsive intersite interaction. Acta Phys. Pol. A 114, 129 (2008).
13. Uhrig, G. S., Vlaming, R.: Inhibition of phase separation and appearance of new phases for interacting spinless fermions. Phys. Rev. Lett. 71, 271 (1993).
14. Kagan, M. Yu., Kugel, K. I., Khomskii, D. I.: Phase separation in systems with charge ordering. J. Exp. Theor. Phys. 93, 415 (2001).
15. Damescelli, A., Hussain, Z., Shen, Z.-X.: Angle-resolved photoemission studies of the cuprate superconductors. Rev. Mod. Phys. 75, 473 (2003).
16. 4. Phys. Rev. B 74, 224510 (2006).
17. 2. Science 307, 901 (2005).
18. Langmann, E.: Exactly solvable models for 2D interacting fermions. J. Phys. A, Math. Gen. 37, 407 (2004).
19. de Woul, J., Langmann, E.: work in progress.
20. Luttinger, J. M.: Fermi surface and some simple equilibrium properties of a system of interacting fermions. Phys. Rev. 119, 1153 (1960).
21. Corboz, P., Orus, R., Bauer, B., Vidal, G.: Simulation of strongly correlated fermions in two spatial dimensions with fermionic. Proj. Entangled-Pair States. arXiv: 0912. 0646v1 [cond-mat. str-el].
22. Chakravarty, S., Laughlin, R. B., Morr, D. K., Nayak, C.: Hidden order in the cuprates. Phys. Rev. B 63, 094503 (2001).
23. Bach, V., Poelchau, J.: Hartree-Fock Gibbs states for the Hubbard model. Markov Process. Relat. Fields 2, 225 (1996).
24. Langmann, E., Semenoff, G. W.: Strong coupling gauge theory, quantum spin systems and the spontaneous breaking of chiral symmetry. Phys. Lett. B 297, 175 (1992).