Electrons on Hexagonal lattices and applications to nanotubes

TL;DR

This paper investigates a Froehlich-type Hamiltonian on a hexagonal lattice to model nanotubes, analyzing soliton existence through analytical and numerical methods, and providing exact solutions with discussion of their properties.

Contribution

It introduces a specific Hamiltonian model for nanotubes on a hexagonal lattice and derives exact soliton solutions, combining analytical and numerical approaches.

Findings

Existence of solitons in the model

Exact solutions of the equations

Properties of the solitons discussed

Abstract

We consider a Froehlich-type Hamiltonian on a hexagonal lattice. Aiming to describe nanotubes, we choose this 2-dimensional lattice to be periodic and to have a large extension in one (x) direction and a small extension in the other (y) direction. We study the existence of solitons in this model using both analytical and numerical methods. We find exact solutions of our equations and discuss some of their properties.