Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram

Details Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram

2003-06-26

arxiv.org/abs/cond-mat/0306662v2

Physics

Condensed Matter

Soft Condensed Matter

4 RevTex pages, 3 ps-figures; replaced with revised version accepted by PRL: results of the MC simulations in 4D are briefly d

Scientific paper

10.1103/PhysRevLett.92.050402

Two sorts of bosons in an optical lattice at commensurate filling factors can form five stable superfluid and insulating groundstates with rich and non-trivial phase diagram. The structure of the groundstate diagram is established by mapping $d$-dimensional quantum system onto a $(d+1)$-dimensional classical loop-current model and Monte Carlo simulations of the latter. Surprisingly, the quantum phase diagram features, besides second-order lines, a first-order transition and two multi-critical points. We explain why first-order transitions are generic for models with paring interactions using microscopic and mean-field arguments.

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