Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field

Details Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field

1998-12-15

arxiv.org/abs/cond-mat/9812253v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 5 figures included

Scientific paper

10.1103/PhysRevB.60.2357

The Bose-Hubbard model in an external magnetic field is investigated with strong-coupling perturbation theory. The lowest-order secular equation leads to the problem of a charged particle moving on a lattice in the presence of a magnetic field, which was first treated by Hofstadter. We present phase diagrams for the two-dimensional square and triangular lattices, showing a change in shape of the phase lobes away from the well-known power-law behavior in zero magnetic field. Some qualitative agreement with experimental work on Josephson-junction arrays is found for the insulating phase behavior at small fields.

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