2020/09/18 by Erik Díaz-Bautista
Materials Science · Physics and Astronomy · #Classical mechanics #Coherent states #Condensed matter physics #Geology #Graphene #Graphene research and applications #Mathematical physics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Schrödinger equation #Schrödinger's cat #Theoretical physics #Topological Materials and Phenomena #Type (biology) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1063/5.0022806
published as J. Math. Phys. 61, 102101 (2020) · 27 pages, 16 figures
arxiv created 2020/09/18 · openalex created_date 2020/09/25 · openalex publication_date 2020/10/01 · arxiv updated 2021/04/27 · openalex updated_date 2026/08/05
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 built 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 ζ. 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 and their time evolution. Our results clearly show that the quasi period of electron coherent states is affected by the uniaxial strain.