Phase diagram of the Bose-Hubbard model on complex networks (Articolo in rivista)

Type
Label
  • Phase diagram of the Bose-Hubbard model on complex networks (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1209/0295-5075/99/18001 (literal)
Alternative label
  • Halu A, Ferretti L, Vezzani A, Bianconi G (2012)
    Phase diagram of the Bose-Hubbard model on complex networks
    in Europhysics letters (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Halu A, Ferretti L, Vezzani A, Bianconi G (literal)
Pagina inizio
  • 18001 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 99 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 6 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Northeastern Univ, Dept Phys, Boston, MA 02115 USA Univ Autonoma Barcelona, Ctr Recerca AgriGen, Bellaterra 08193, Spain Univ Parma, Dipartimento Fis, I-43100 Parma, Italy CNR Ist Nanosci, Ctr S3, I-41100 Modena, Italy (literal)
Titolo
  • Phase diagram of the Bose-Hubbard model on complex networks (literal)
Abstract
  • Critical phenomena can show unusual phase diagrams when defined in complex network topologies. The case of classical phase transitions such as the classical Ising model and the percolation transition has been studied extensively in the last decade. Here we show that the phase diagram of the Bose-Hubbard model, an exclusively quantum mechanical phase transition, also changes significantly when defined on random scale-free networks. We present a mean-field calculation of the model in annealed networks and we show that when the second moment of the average degree diverges, the Mott-insulator phase disappears in the thermodynamic limit. Moreover we study the model on quenched networks and we show that the Mott-insulator phase disappears in the thermodynamic limit as long as the maximal eigenvalue of the adjacency matrix diverges. Finally we study the phase diagram of the model on Apollonian scale-free networks that can be embedded in 2 dimensions showing the extension of the results also to this case. (literal)
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