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Journal
2012 | 10 | 3 | 609-614
Article title

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

Content
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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.
Publisher

Journal
Year
Volume
10
Issue
3
Pages
609-614
Physical description
Dates
published
1 - 6 - 2012
online
17 - 6 - 2012
Contributors
author
  • Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, I-84084, Fisciano (SA), Italy, gerardo.sica@sa.infn.it
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]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0017-z
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