T = 0 phase diagram of the 1D Hubbard model with magnetic interactions in the narrow band limit

• Authors: Ferdinando Mancini , Evgeny Plekhanov , Gerardo Sica
• Languages of publication: EN

Abstracts

EN

In this paper we study a generalization of the Hubbard model by considering spin-spin interactions described by the exchange constant J. An external magnetic field his also taken into account. In the narrowband limit and for the 1D case, we present the exact solution obtained in the framework of the Green’s function formalism, using the Composite Operator Method. We report the T = 0 phase diagram for both ferro (J > 0) and anti-ferro (J < 0) couplings. The competition of the different energy scales (U, J, and h; being U the local charge interaction) generates a variety of phases and different charge and spin orderings.

Keywords

EN

exact solution; t-J-h model; phase diagram

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 3
• Pages: 609-614

Dates

published

1 - 6 - 2012

online

17 - 6 - 2012

Contributors

author

Ferdinando Mancini

author

Evgeny Plekhanov

author

Gerardo Sica

• Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, I-84084, Fisciano (SA), Italy

References

• [1] J. Hubbard, Proc. R. Soc. Lond. A 276, 238 (1963) http://dx.doi.org/10.1098/rspa.1963.0204[Crossref]
• [2] S. Miyashita, Prog. Theor. Phys. 120, 785 (2008) http://dx.doi.org/10.1143/PTP.120.785[Crossref]
• [3] H. Tasaki, Eur. Phys. J. B 64, 365 (2008) http://dx.doi.org/10.1140/epjb/e2008-00113-2[Crossref]
• [4] M. Fleck, A. I. Lichtenstein, E. Pavarini, A. M. Oles, Phys. Rev. Lett. 84, 4962 (2000) http://dx.doi.org/10.1103/PhysRevLett.84.4962[Crossref]
• [5] H. Schweitzer, G. Czycholl, Zeitschrift für Physik B Condensed Matter 83, 93 (1991) http://dx.doi.org/10.1007/BF01314402[Crossref]
• [6] S. Pankov V. Dobrosavljevic, Phys. Rev. B 77, 085104 (2008) http://dx.doi.org/10.1103/PhysRevB.77.085104[Crossref]
• [7] P. W. Anderson, Science 235, 1196 (1987) http://dx.doi.org/10.1126/science.235.4793.1196[Crossref]
• [8] A. H. MacDonald, S. M. Girvin, D. Yoshioka, Phys. Rev. B 37, 9753 (1988) http://dx.doi.org/10.1103/PhysRevB.37.9753[Crossref]
• [9] J. Stein, J. Stat. Phys. 88, 487 (1997) http://dx.doi.org/10.1007/BF02508481[Crossref]
• [10] F. C. Zhang, Phys. Rev. Lett. 90, 207002 (2003) http://dx.doi.org/10.1103/PhysRevLett.90.207002[Crossref]
• [11] E. Plekhanov, S. Sorella, M. Fabrizio, Phys. Rev. Lett. 90, 187004 (2003) http://dx.doi.org/10.1103/PhysRevLett.90.187004[Crossref]
• [12] D. Jèrome, A. Mazaud, M. Ribault, K. Bechgaard, J. Phys. France Lett. 41, L92 (1980)
• [13] T. Ishiguro, K. Yamaji, G. Saito, Organic Superconductors (Springer, 1998)
• [14] A. P. Mackenzie, Y. Maeno, Rev. Mod. Phys. 75, 657 (2003) http://dx.doi.org/10.1103/RevModPhys.75.657[Crossref]
• [15] S. Saxena et al., Nature 406, 587 (2000) http://dx.doi.org/10.1038/35020500[Crossref]
• [16] E. H. Lieb, F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968) http://dx.doi.org/10.1103/PhysRevLett.20.1445[Crossref]
• [17] E. H. Lieb, F. Y. Wu, Phys. Rev. Lett. 21, 192 (1968) http://dx.doi.org/10.1103/PhysRevLett.21.192.2[Crossref]
• [18] P. Schlottmann, Phys. Rev. B 36, 5177 (1987) http://dx.doi.org/10.1103/PhysRevB.36.5177[Crossref]
• [19] G. I. Japaridze, E. Müller-Hartmann, Phys. Rev. B 61, 9019 (2000) http://dx.doi.org/10.1103/PhysRevB.61.9019[Crossref]
• [20] C. Dziurzik, G. Japaridze, A. Schadschneider, J. Zittartz, Eur. Phys. J. B 37, 453 (2004) http://dx.doi.org/10.1140/epjb/e2004-00081-5[Crossref]
• [21] W. KŁobus, K. Kapcia, S. Robaszkiewicz, Acta Phys. Pol. A 118, 353 (2010)
• [22] S. Murawski, G. Kapcia, K. Pawłowoski, S. Robaszkiewicz, arXiv:1109.2620 [cond-mat]
• [23] F. Mancini, A. Avella, Adv. Phys. 53, 537 (2004) http://dx.doi.org/10.1080/00018730412331303722[Crossref]
• [24] F. Mancini, A. Avella, Eur. Phys. J. B 36, 37 (2003) http://dx.doi.org/10.1140/epjb/e2003-00315-0[Crossref]
• [25] F. Mancini, Eur. Phys. Lett. 70, 485 (2005) http://dx.doi.org/10.1209/epl/i2005-10016-4[Crossref]

Identifiers

DOI

10.2478/s11534-012-0017-z