Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field

Abstract

In this work we describe semiclassical states in graphene under a constant perpendicular magnetic field by constructing coherent states in the Barut-Girardello sense. Since we want to keep track of the angular momentum, the use of the symmetric gauge and polar coordinates seemed the most logical choice. Different classes of coherent states are obtained by means of the underlying algebra system, which consists of the direct sum of two Heisenberg-Weyl algebras. The most interesting cases are a kind of partial coherent states and the coherent states with a well-defined total angular momentum.

arXiv comment24 pages, 13 figures

References in corpus (28)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Multiple magnetic barriers in graphene
• Zitterbewegung of electrons in graphene in a magnetic field
• The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms
• Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
• Physical nonlinear aspects of classical and quantum q-oscillators
• Coherent states for a quantum particle on a circle
• New nonlinear coherent states and some of their nonclassical properties
• Correlation functions of quantum q-oscillators
• Magnetic field induced confinement-deconfinement transition in graphene quantum dots
• Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
• Dirac electron in graphene under supersymmetry generated magnetic fields
• Magnetic quantum dots and rings in two dimensions
• Graphene coherent states
• Coherent states of a charged particle in a uniform magnetic field
• Localization of Dirac-like excitations in graphene in the presence of smooth inhomogeneous magnetic fields
• Conditional electron confinement in graphene via smooth magnetic fields
• Coherent states in magnetized anisotropic 2D Dirac materials
• Superintegrability of the Fock-Darwin system
• Generalized $su(2)$ coherent states for the Landau levels and their nonclassical properties
• Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene
• Phase properties of a new nonlinear coherent state
• Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes

Cited by in corpus (2)

• Polar coherent states in bilayer graphene under a constant uniform magnetic field
• Multiphoton coherent states for bilayer graphene