Continuous interpolation between the fully frustrated Ising and quantum dimer models

TL;DR

This paper introduces a novel quantum model that smoothly transitions between a frustrated Ising model and a dimer model, revealing a resonating-valence-bond phase and exactly solvable ground states, with phase diagrams analyzed on square and triangular lattices.

Contribution

It presents a new interpolating quantum model with an exactly solvable ground state and explores its phase diagram on different lattice geometries.

Findings

Identification of a resonating-valence-bond phase.

Existence of an exactly solvable ground state line.

Phase diagrams characterized on square and triangular lattices.

Abstract

We propose a new quantum model interpolating between the fully frustrated spin-1/2 Ising model in a transverse field and a dimer model. This model contains a resonating-valence-bond phase, including a line with an exactly solvable ground state of the Rokhsar-Kivelson type. We discuss the phase diagrams of this model on the square and triangular (in terms of the dimer representation) lattices.