Schr\"{o}dinger-type 2D coherent states of magnetized uniaxially strained graphene

TL;DR

This paper studies how uniaxial strain affects the properties and time evolution of coherent states in magnetized graphene, revealing strain-induced changes in their quasi-periodicity.

Contribution

It introduces a semi-classical model for coherent states in strained graphene under magnetic fields, incorporating anisotropy effects through a new parameter.

Findings

Strain modifies the quasi-period of electron coherent states.

Anisotropy influences the probability density distribution.

Time evolution of states is affected by uniaxial deformation.

Abstract

We revisit the uniaxially strained graphene immersed in a uniform homogeneous magnetic field orthogonal to the layer in order to describe the time evolution of coherent states build from a semi-classical model. We consider the symmetric gauge vector potential to render the magnetic field, and we encode the tensile and compression deformations on an anisotropy parameter $\zeta$. After solving the Dirac-like equation with an anisotropic Fermi velocity, we define a set of matrix ladder operators and construct electron coherent states as eigenstates of a matrix annihilation operator with complex eigenvalues. Through the corresponding probability density, we are able to study the anisotropy effects on these states on the $xy$-plane as well as their time evolution. Our results show clearly that the quasi-period of electron coherent states is affected by the uniaxial strain.