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arXiv · 1102.3339

Bose-glass, superfluid, and rung-Mott phases of hard-core bosons in disordered two-leg ladders

Juan Carrasquilla·Federico Becca·Michele Fabrizio
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Abstract

By means of Monte Carlo techniques, we study the role of disorder on a system of hard-core bosons in a two-leg ladder with both intra-chain ($t$) and inter-chain ($t^\prime$) hoppings. We find that the phase diagram as a function of the boson density, disorder strength, and $t^\prime/t$ is far from being trivial. This contrasts the case of spin-less fermions where standard localization arguments apply and an Anderson-localized phase pervades the whole phase diagram. A compressible Bose-glass phase always intrudes between the Mott insulator with zero (or one) bosons per site and the superfluid that is stabilized for weak disorder. At half filling, there is a direct transition between a (gapped) rung-Mott insulator and a Bose glass, which is driven by exponentially rare regions where disorder is suppressed. Finally, by doping the rung-Mott insulator, a direct transition to the superfluid is possible only in the clean system, whereas the Mott phase is always surrounded by the a Bose glass when disorder is present. The phase diagram based on our numerical evidence is finally reported.

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Juan Carrasquilla, Federico Becca, Michele Fabrizio. 2011-02-16. Bose-glass, superfluid, and rung-Mott phases of hard-core bosons in disordered two-leg ladders. https://doi.org/10.1103/physrevb.83.245101

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