Extended supersolid phase of frustrated hard-core bosons on a triangular lattice

Details Extended supersolid phase of frustrated hard-core bosons on a triangular lattice Extended supersolid phase of frustrated hard-core bosons on a triangular lattice

2008-09-09

arxiv.org/abs/0809.1667v1

Phys. Rev. Lett. 102, 017203 (2009)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.102.017203

We study a model of hard-core bosons with frustrated nearest-neighbor hopping ($t$) and repulsion ($V$) on the triangular lattice. We argue for a supersolid ground state in the large repulsion ($V\gg|t|$) limit where a dimer representation applies, by constructing a unitary mapping to the well understood unfrustrated hopping case. This generalized 'Marshall sign rule' allows us to establish the precise nature of the supersolid order by utilizing a recently proposed dimer variational wavefunction, whose correlations can be efficiently calculated using the Grassman approach. By continuity, a supersolid is predicted over the wide parameter range, $V>-2t>0$. This also establishes a simple phase diagram for the triangular lattice spin 1/2 XXZ antiferromagnet.

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