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arXiv · 1211.5202

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

Jamshid Moradi Kurdestany·Ramesh V. Pai·Subroto Mukerjee·Rahul Pandit
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Abstract

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.

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Jamshid Moradi Kurdestany, Ramesh V. Pai, Subroto Mukerjee, Rahul Pandit. 2012-11-22. Phases, transitions, and boundary conditions in a model of interacting bosons. https://arxiv.org/abs/1211.5202

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