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arXiv · 1206.2566

The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms

Valéry Rousseau·Ka-Ming Tam·Mark Jarrell·Juana Moreno
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Abstract

High order ring-exchange interactions are crucial for the study of quantum fluctuations on highly frustrated systems. We present the first exact quantum Monte Carlo study of a model of hard-core bosons with sixth order ring-exchange interactions on a two-dimensional kagome lattice. By using the Stochastic Green Function algorithm, we show that the system becomes unstable in the limit of large ring-exchange interactions. It undergoes a phase separation at all fillings, except at 1/3 and 2/3 fillings for which the superfluid density vanishes and an unusual mixed valence bond and charge density ordered solid is formed.

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Valéry Rousseau, Ka-Ming Tam, Mark Jarrell, Juana Moreno. 2013-02-28. The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms. https://doi.org/10.1103/physrevb.87.075146

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