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The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model

Fabien Alet·Erik S. Sorensen
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Abstract

The generic transition in the boson Hubbard model, occurring at an incommensurate chemical potential, is studied in the link-current representation using the recently developed directed geometrical worm algorithm. We find clear evidence for a multi-peak structure in the energy distribution for finite lattices, usually indicative of a first order phase transition. However, this multi-peak structure is shown to disappear in the thermodynamic limit revealing that the true phase transition is second order. These findings cast doubts over the conclusion drawn in a number of previous works considering the relevance of disorder at this transition.

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Fabien Alet, Erik S. Sorensen. 2004-01-14. The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model. https://doi.org/10.1103/physrevb.70.024513

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