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

Fa Wang; Frank Pollmann; Ashvin Vishwanath

doi:10.1103/physrevlett.102.017203

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arXiv · 0809.1667

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

Fa Wang·Frank Pollmann·Ashvin Vishwanath

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Abstract

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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Fa Wang, Frank Pollmann, Ashvin Vishwanath. 2008-09-09. Extended supersolid phase of frustrated hard-core bosons on a triangular lattice. https://doi.org/10.1103/physrevlett.102.017203

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