Investigation of quantum phase transitions using multi-target DMRG methods (Articolo in rivista)

Type
Label
  • Investigation of quantum phase transitions using multi-target DMRG methods (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1140/epjb/e2004-00344-1 (literal)
Alternative label
  • Boschi, C.D.E.; Ortolani, F. (2004)
    Investigation of quantum phase transitions using multi-target DMRG methods
    in The European physical journal. B, Condensed matter physics (Print); SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Boschi, C.D.E.; Ortolani, F. (literal)
Pagina inizio
  • 503 (literal)
Pagina fine
  • 516 (literal)
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  • 41 (literal)
Rivista
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  • 14 (literal)
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  • - (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Google Scholar (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Unita' di ricerca INFM di Bologna, viale Berti-Pichat, 6/2, 40127, Bologna, Italy Dipartimento di Fisica, Universita' di Bologna, INFM and INFN, via Irnerio, 46, 40126, Bologna, Italy (literal)
Titolo
  • Investigation of quantum phase transitions using multi-target DMRG methods (literal)
Abstract
  • In this paper we examine how the predictions of conformal invariance can be widely exploited to overcome the difficulties of the density-matrix renormalization group near quantum critical points. The main idea is to match the set of low-lying energy levels of the lattice Hamiltonian, as a function of the system's size, with the spectrum expected for a given conformal field theory in two dimensions. As in previous studies this procedure requires an accurate targeting of various excited states. Here we discuss how this can be achieved within the DMRG algorithm by means of the recently proposed Thick-restart Lanczos method. As a nontrivial benchmark we use an anisotropic spin-1 Hamiltonian with special attention to the transitions from the Haldane phase. Nonetheless, we think that this procedure could be generally valid in the study of quantum critical phenomena. (literal)
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