Phases, transitions, and boundary conditions in a model of interacting bosons

We carry out an extensive study of the phase diagrams of the extended Bose Hubbard model, with a mean filling of one boson per site, in one dimension by using the density matrix renormalization group and show that it contains Superfluid (SF), Mott-insulator (MI), density-wave (DW) and Haldane-insula...

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Bibliographic Details
Published in:arXiv.org 2012-11
Main Authors: Jamshid Moradi Kurdestany, Pai, Ramesh V, Mukerjee, Subroto, Pandit, Rahul
Format: Article
Language:English
Subjects:
Bosons
Boundary conditions
Density
Fluids
Ising model
Phase diagrams
Superfluidity
Two dimensional models
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Summary:We carry out an extensive study of the phase diagrams of the extended Bose Hubbard model, with a mean filling of one boson per site, in one dimension by using the density matrix renormalization group and show that it contains Superfluid (SF), Mott-insulator (MI), density-wave (DW) and Haldane-insulator (HI) phases. We show that the critical exponents and central charges for the HI-DW, MI-HI and SF-MI transitions are consistent with those for models in the two-dimensional Ising, Gaussian, and Berezinskii-Kosterlitz-Thouless (BKT) universality classes, respectively; and we suggest that the SF-HI transition may be more exotic than a simple BKT transition. We show explicitly that different boundary conditions lead to different phase diagrams.
ISSN:2331-8422