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

• URL: http://arxiv.org/abs/2009.08587v1
• Date: Fri, 18 Sep 2020 02:07:29 GMT
• Title: Schr\"{o}dinger-type 2D coherent states of magnetized uniaxially strained graphene
• Authors: Erik D\'iaz-Bautista
• Abstract summary: We revisit the uniaxially strained graphene immersed in a uniform homogeneous magnetic field to describe the time evolution of coherent states build from a semi-classical model. Our results show clearly that the quasi-period of electron coherent states is affected by the uniaxial strain.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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