Phase diagrams, critical and multicritical behavior of hard-core Bose-Hubbard models

Details Phase diagrams, critical and multicritical behavior of hard-core Bose-Hubbard models Phase diagrams, critical and multicritical behavior of hard-core Bose-Hubbard models

1997-11-20

arxiv.org/abs/cond-mat/9711209v1

Physics

Condensed Matter

Statistical Mechanics

19 pages, ReVTeX, 18 figures included, submitted to PRB

Scientific paper

10.1103/PhysRevB.57.13712

We determine the zero-temperature phase diagram of the hard-core Bose-Hubbard model on a square lattice by mean-field theory supplemented by a linear spin-wave analysis. Due to the interplay between nearest and next-nearest neighbor interaction and cubic anisotropy several supersolid phases with checkerboard, stripe domain or intermediate symmetry are stabilized. The phase diagrams show three different topologies depending on the relative strength of nearest and next-nearest neighbor interaction. We also find a rich variety of new quantum critical behavior and multicritical points and discuss the corresponding effective actions and universality classes.

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