Vison gap in the Rokhsar-Kivelson dimer model on the triangular lattice

TL;DR

This paper uses Monte Carlo simulations to measure the energy gap of vison excitations in the Rokhsar-Kivelson dimer model on a triangular lattice, providing insights into the model's quantum phase behavior.

Contribution

It introduces a Monte Carlo approach to quantify vison energy gaps and characterizes their momentum dependence in the model.

Findings

Visons are identified as the lowest excitations.

Energy gap varies with momentum.

Provides quantitative data on vison energies.

Abstract

With the classical Monte Carlo method, I find the energy gap in the Rokhsar-Kivelson dimer model on the triangular lattice. I identify the lowest excitations as visons, and compute their energy as a function of the momentum.