Artificial gauge fields for the Bose-Hubbard model on a checkerboard superlattice and extended Bose-Hubbard model |
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Authors: | M Iskin |
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Institution: | 1.Department of Physics,Ko? University,Sariyer, Istanbul,Turkey |
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Abstract: | We study the effects of an artificial gauge field on the ground-state phases of the
Bose-Hubbard model on a checkerboard superlattice in two dimensions, including the
superfluid phase and the Mott and alternating Mott insulators. First, we discuss the
single-particle Hofstadter problem, and show that the presence of a checkerboard
superlattice gives rise to a magnetic flux-independent energy gap in the excitation
spectrum. Then, we consider the many-particle problem, and derive an analytical mean-field
expression for the superfluid-Mott and superfluid-alternating-Mott insulator phase
transition boundaries. Finally, since the phase diagram of the Bose-Hubbard model on a
checkerboard superlattice is in many ways similar to that of the extended Bose-Hubbard
model, we comment on the effects of magnetic field on the latter model, and derive an
analytical mean-field expression for the superfluid-insulator phase transition boundaries
as well. |
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Keywords: | |
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