Static configurations of an exciton field in interaction with a deformable two-dimensional hexagonal lattice

TL;DR

This paper models the behavior of exciton fields interacting with a deformable hexagonal lattice, analyzing ground states and stability of excitations, contributing to understanding exciton-phonon interactions in 2D materials.

Contribution

It introduces a generalized Hamiltonian including exciton-phonon couplings and studies ground state configurations and stability in a 2D hexagonal lattice.

Findings

Ground state configurations depend on system couplings.

Certain excited states are stable under perturbations.

The model advances understanding of exciton-phonon interactions.

Abstract

A model describing the dynamics of crystal exciton states on a hexagonal lattice has been studied. The hamiltonian includes terms describing the movement of the exciton throughout the crystal. Here we generalize the hamiltonian by including first order couplings of such terms to the lattice phonon fields. A discussion of the ground state configuration of the exciton field as a function of the system couplings is given. Finally we analyse the stability of certain excited states under perturbations.