Phases, transitions, and patterns in the one-dimensional Extended Bose-Hubbard model
Abstract
We carry out an extensive study of the phase diagram 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 can have Superfluid (SF), Mott-insulator (MI), density-wave (DW) and Haldane-insulator (HI) phases depending on the precise value of filling and how edge states are handled. We show that the critical exponents and central charge 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.
Cite
@article{arxiv.1403.2315,
title = {Phases, transitions, and patterns in the one-dimensional Extended Bose-Hubbard model},
author = {Jamshid Moradi Kurdestany and Ramesh V. Pai and Subroto Mukerjee and Rahul Pandit},
journal= {arXiv preprint arXiv:1403.2315},
year = {2014}
}
Comments
Version 2. 15 pages, 14 figures. Extended version of arXiv:1211.5202