Single hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice

TL;DR

This paper investigates the behavior of a doped quantum dimer model on a triangular lattice, focusing on how holes and vortices (visons) influence the system's excitations and dispersion relations.

Contribution

It introduces a detailed analysis of hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model, highlighting the distinct mobility mechanisms of holes with and without visons.

Findings

Hole without vison exhibits free, tight-binding motion.

Hole with vison is constrained and moves via virtual processes.

Distinct dispersion behaviors depend on vison trapping.

Abstract

We consider the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice with one mobile hole (monomer) at the Rokhsar-Kivelson point. The motion of the hole is described by two branches of excitations: the hole may either move with or without a trapped Z2 vortex (vison). We perform a study of the hole dispersion in the limit where the hole hopping amplitude is much smaller than the interdimer interaction. In this limit, the hole without vison moves freely and has a tight-binding spectrum. On the other hand, the hole with a trapped vison is strongly constrained due to interference effects and can only move via higher-order virtual processes.