Engineering SU(2) invariant spin models to mimic quantum dimer physics on the square lattice

M. Mambrini, S. Capponi, and F. Alet
Phys. Rev. B 92, 134413 – Published 16 October 2015

Abstract

We consider the spin-1/2 Hamiltonians proposed by Cano and Fendley [Phys. Rev. Lett. 105, 067205 (2010)], which were built to promote the well-known Rokshar-Kivelson (RK) point of quantum dimer models to spin-1/2 wave functions. We first show that these models, besides the exact degeneracy of RK point, support gapless spinless excitations as well as a spin gap in the thermodynamic limit, signatures of an unusual spin liquid. We then extend the original construction to create a continuous family of SU(2) invariant spin models that reproduces the phase diagram of the quantum dimer model and, in particular, show explicit evidences for existence of columnar and staggered phases. The original models thus appear as multicritical points in an extended phase diagram. Our results are based on the use of a combination of numerical exact simulations and analytical mapping to effective generalized quantum dimer models.

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  • Received 30 July 2015
  • Revised 23 September 2015

DOI:https://doi.org/10.1103/PhysRevB.92.134413

©2015 American Physical Society

Authors & Affiliations

M. Mambrini*, S. Capponi, and F. Alet

  • Laboratoire de Physique Théorique, Université de Toulouse and CNRS, UPS (IRSAMC), F-31062 Toulouse, France

  • *mambrini@irsamc.ups-tlse.fr
  • capponi@irsamc.ups-tlse.fr
  • alet@irsamc.ups-tlse.fr

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Issue

Vol. 92, Iss. 13 — 1 October 2015

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