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On the Coexistence of Diagonal and off-Diagonal Long-Range Order, a Monte Carlo Study

Anne van Otterlo, Karl-Heinz Wagenblast

cond-matarXiv:cond-mat/9312034

Abstract

The zero temperature properties of interacting 2 dimensional lattice bosons are investigated. We present Monte Carlo data for soft-core bosons that demonstrate the existence of a phase in which crystalline long-range order and off-diagonal long-range order (superfluidity) coexist. We comment on the difference between hard and soft-core bosons and compare our data to mean-field results that predict a larger coexistence region. Furthermore, we determine the critical exponents for the various phase transitions.

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