Extended Supersolid Phase of Frustrated Hard-Core Bosons on a Triangular Lattice

Fa Wang, Frank Pollmann, and Ashvin Vishwanath
Phys. Rev. Lett. 102, 017203 – Published 5 January 2009

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|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 wave function, whose correlations can be efficiently calculated using the Grassmann 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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  • Received 18 September 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.017203

©2009 American Physical Society

Authors & Affiliations

Fa Wang, Frank Pollmann, and Ashvin Vishwanath

  • Department of Physics, University of California, Berkeley, California 94720, USA

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Issue

Vol. 102, Iss. 1 — 9 January 2009

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