Phase diagram of the Bose-Hubbard model on complex networks

Arda Halu, Luca Ferretti, Alessandro Vezzani, Ginestra Bianconi

    Research output: Contribution to journalArticleResearchpeer-review

    20 Citations (Scopus)

    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. © 2012 Copyright EPLA.
    Original languageEnglish
    Article number18001
    JournalEPL
    Volume99
    Issue number1
    DOIs
    Publication statusPublished - 1 Jul 2012

    Fingerprint Dive into the research topics of 'Phase diagram of the Bose-Hubbard model on complex networks'. Together they form a unique fingerprint.

    Cite this