Absence of Bose condensation on lattices with moat bands

Abstract

We study hard-core bosons on a class of frustrated lattices with the lowest Bloch band having a degenerate minimum along a closed contour, the moat, in the reciprocal space. We show that at small density the ground state of the system is given by a noncondensed state, which may be viewed as a state of fermions subject to Chern-Simons gauge field. At fixed density of bosons, such a state exhibits domains of incompressible liquids. Their fixed densities are given by fractions of the reciprocal-space area enclosed by the moat.

5 pages, 5 figures, Revtex, Published in PRB Rapid Commun

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• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Magnetically generated spin-orbit coupling for ultracold atoms
• Artificial graphene with tunable interactions
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• Quantum phases of hard-core bosons in a frustrated honeycomb lattice
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