English

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

Quantum Gases 2013-03-01 v2 Quantum Physics

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.

Keywords

Cite

@article{arxiv.1206.2566,
  title  = {The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms},
  author = {Valéry Rousseau and Ka-Ming Tam and Mark Jarrell and Juana Moreno},
  journal= {arXiv preprint arXiv:1206.2566},
  year   = {2013}
}

Comments

4 pages, 7 figures