Condensation of a Hard-Core Bose Gas
Statistical Mechanics
2009-10-31 v1
Abstract
A grand canonical system of hard-core bosons, subject to thermal fluctuations, is studied on a lattice. Starting from the slave-boson representation with fields for occupied and unoccupied sites, an effective field theory is derived in which a complex field corresponds with the order parameter of the condensate and a real field with the total density of bosons. Near the boundary between the normal and the superfluid phase we obtain the Ginzburg-Landau functional for the superfluid order parameter. A mean-field calculation shows that the critical temperature increases with increasing density up to a maximum and decreases with further increasing density.
Cite
@article{arxiv.cond-mat/0001074,
title = {Condensation of a Hard-Core Bose Gas},
author = {K. Ziegler},
journal= {arXiv preprint arXiv:cond-mat/0001074},
year = {2009}
}
Comments
10 pages, 3 figures, submitted to Phys. Rev. A