Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit (Articolo in rivista)

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  • Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1140/epjb/e2013-40527-y (literal)
Alternative label
  • Mancini, F.abc, Plekhanov, E.d , Sica, G.ae (2013)
    Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit
    in The European physical journal. B, Condensed matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Mancini, F.abc, Plekhanov, E.d , Sica, G.ae (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.scopus.com/inward/record.url?eid=2-s2.0-84892974599&partnerID=q2rCbXpz (literal)
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  • 86 (literal)
Rivista
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  • 10 (literal)
Note
  • Scopu (literal)
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  • a Dipartimento di Fisica E.R. Caianiello, Università degli Studi di Salerno, 84084 Fisciano, Italy b Unità CNISM di Salerno, Università degli Studi di Salerno, 84084 Fisciano, Italy c Istituto Internazionale per gli Alti Studi Scientifici (IIASS), 84019 Vietri sul Mare, Italy d Consiglio Nazionale delle Ricerche (CNR-SPIN), 67100 L'Aquila, Italy e Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom (literal)
Titolo
  • Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit (literal)
Abstract
  • We present the exact solution, obtained by means of the Transfer Matrix (TM) method, of the 1D Hubbard model with nearest-neighbor (NN) and next-nearest-neighbor (NNN) Coulomb interactions in the atomic limit (t = 0). The competition among the interactions (U, V1, and V2) generates a plethora of T = 0 phases in the whole range of fillings. U, V 1, and V2 are the intensities of the local, NN and NNN interactions, respectively. We report the T = 0 phase diagram, in which the phases are classified according to the behavior of the principal correlation functions, and reconstruct a representative electronic configuration for each phase. In order to do that, we make an analytic limit T ? 0 in the transfer matrix, which allows us to obtain analytic expressions for the ground state energies even for extended transfer matrices. Such an extension of the standard TM technique can be easily applied to a wide class of 1D models with the interaction range beyond NN distance, allowing for a complete determination of the T = 0 phase diagrams.© EDP Sciences Società Italiana di Fisica Springer-Verlag 2013. (literal)
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