Interaction between static holes in a quantum dimer model on the kagome lattice

TL;DR

This paper investigates the interaction between static holes in a quantum dimer model on the kagome lattice, revealing no confinement at large separations through exact diagonalization studies.

Contribution

It provides the first detailed analysis of hole interactions in this specific quantum dimer model using large-scale exact diagonalizations.

Findings

No confinement observed at large hole separations

Interaction energy between holes evaluated up to 7 lattice spacings

Ground-state energy analyzed with up to 144 kagome sites

Abstract

A quantum dimer model (QDM) on the kagome lattice with an extensive ground-state entropy was recently introduced [Phys. Rev. B 67, 214413 (2003)]. The ground-state energy of this QDM in presence of one and two static holes is investigated by means of exact diagonalizations on lattices containing up to 144 kagome sites. The interaction energy between the holes (at distances up to 7 lattice spacings) is evaluated and the results show no indication of confinement at large hole separations.