Rapidly converging methods for the location of quantum critical points from finite-size data (Articolo in rivista)

Type
Label
  • Rapidly converging methods for the location of quantum critical points from finite-size data (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.77.155413 (literal)
Alternative label
  • Roncaglia, M.; Campos Venuti, L.; Degli Esposti Boschi, C. (2008)
    Rapidly converging methods for the location of quantum critical points from finite-size data
    in Physical review. B, Condensed matter and materials physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Roncaglia, M.; Campos Venuti, L.; Degli Esposti Boschi, C. (literal)
Pagina inizio
  • 155413-1 (literal)
Pagina fine
  • 155413-9 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 77 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 9 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 15 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany Fondazione ISI, Villa Gualino, viale Settimio Severo 65, I-10133 Torino, Italy CNR, Unità di Ricerca CNISM, Dipartimento di Fisica dell'Università di Bologna, viale Berti-Pichat 6/2, I-40127 Bologna, Italy (literal)
Titolo
  • Rapidly converging methods for the location of quantum critical points from finite-size data (literal)
Abstract
  • We analyze in detail, beyond the usual scaling hypothesis, the finite-size convergence of static quantities toward the thermodynamic limit. In this way, we are able to obtain sequences of pseudo-critical points, which display a faster convergence rate as compared to currently used methods. The approaches are valid in any spatial dimension and for any value of the dynamic exponent. We demonstrate the effectiveness of our methods both analytically, on the basis of the one dimensional XY model, and numerically, considering c=1 transitions occurring in nonintegrable spin models. In particular, we show that these general methods are able to precisely locate the onset of the Berezinskii-Kosterlitz-Thouless transition making only use of ground-state properties on relatively small systems. (literal)
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