Search for Stable States in Two-Body Excitations of the Hubbard Model on the Honeycomb Lattice

TL;DR

This paper investigates the stability of excitons in the Hubbard model on a honeycomb lattice using quantum Monte Carlo simulations, providing insights into particle/hole excitations in low-dimensional systems.

Contribution

It introduces a method to measure one- and two-body correlators to identify stable excitonic states in the Hubbard model on the honeycomb lattice.

Findings

Identification of conditions for stable excitons.

Quantitative measurements of two-body energies.

Insights into particle/hole excitations in graphene-like systems.

Abstract

We present one- and two-body measurements for the Hubbard model on the honeycomb (graphene) lattice from ab-initio quantum monte carlo simulations. Of particular interest is excitons, which are particle/hole excitations in low-dimensional systems. They are analogous to the pion in QCD, but without confinement, the question of whether they are bound and stable is of great interest in the condensed matter arena. By measuring one- and two-body correlators across various spin and isospin channels we can compute two-body energies relative to their thresholds, ultimately allowing us to check for stable states.