Quantum dimer model with extensive ground-state entropy on the kagome lattice

TL;DR

This paper introduces a quantum dimer model on the kagome lattice with variable resonance loops and signs, revealing an extensive ground-state entropy and short-range correlations, potentially relevant to kagome Heisenberg antiferromagnets.

Contribution

It presents a novel quantum dimer model with sign-alternating resonance loops and extensive entropy, expanding understanding of quantum liquids on frustrated lattices.

Findings

Extensive zero-temperature entropy observed.

Short-range dimer-dimer correlations.

Resonance signs derived from overlap expansion.

Abstract

We introduce a quantum dimer model on the kagome lattice with kinetic terms allowing from 3 to 6 dimers to resonate around hexagons. Unlike models studied previously, the different resonance loops appears with different signs (given by the parity of the number of dimers involved). These signs naturally appear when performing the lowest-order overlap expansion (Rokhsar and Kivelson 1988) of the Heisenberg model. We demonstrate that the quantum dimer model has an extensive zero-temperature entropy and has very short-range dimer-dimer correlations. We discuss the possible relevance of this new kind of quantum dimer liquid to the physics of the spin-1/2 Heisenberg model on the kagome lattice.