Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene

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.

27 pages, 16 figures

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Cited by in corpus (4)

• Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
• Extended transfer matrix method for electron transmission in anisotropic 2D materials: Interplay of strain and (a)periodicity of potentials
• Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices
• Multiphoton coherent states for bilayer graphene