Publication: Phase diagram of the hard-core Bose-Hubbard model on a checkerboard superlattice
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Program
KU-Authors
KU Authors
Co-Authors
Hen, Itay
Rigol, Marcos
Advisor
Publication Date
2010
Language
English
Type
Journal Article
Journal Title
Journal ISSN
Volume Title
Abstract
We obtain the complete phase diagram of the hard-core Bose-Hubbard model in the presence of a period-two superlattice in two and three dimensions. First we acquire the phase boundaries between the superfluid phase and the "trivial" insulating phases of the model (the completely-empty and completely-filled lattices) analytically. Next, the boundary between the superfluid phase and the half-filled Mott-insulating phase is obtained numerically, using the stochastic series expansion algorithm followed by finite-size scaling. We also compare our numerical results against the predictions of several approximation schemes, including two mean-field approaches and a fourth-order strong-coupling expansion, where we show that the latter method in particular is successful in producing an accurate picture of the phase diagram. Finally, we examine the extent to which several approximation schemes, such as the random phase approximation and the strong-coupling expansion, give an accurate description of the momentum distribution of the bosons inside the insulating phases.
Description
Source:
Physical Review B
Publisher:
American Physical Society (APS)
Keywords:
Subject
Physics