Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene
arXiv:2009.08587 · doi:10.1063/5.0022806
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 . 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 -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.
arXiv comment27 pages, 16 figures
References in corpus (46)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Two Dimensional Atomic Crystals
- A tight-binding approach to uniaxial strain in graphene
- All-graphene integrated circuits via strain engineering
- Electronic Properties of Graphene in a Strong Magnetic Field
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Nonlinear elasticity of monolayer graphene
- Subjecting a graphene monolayer to tension and compression
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Strained graphene: tight-binding and density functional calculations
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Smooth electron waveguides in graphene
- Understanding electron behavior in strained graphene as a reciprocal space distortion
- Coherent states for a quantum particle on a circle
- Algebraic solution of a graphene layer in a transverse electric and perpendicular magnetic fields
- Revivals of quantum wave-packets in graphene
- Time evolution of correlation functions in quantum many-body systems
- Dirac electron in graphene under supersymmetry generated magnetic fields
- Strain-displacement relations and strain engineering in 2d materials
- How do wave packets spread? Time evolution on Ehrenfest time scales
- Dirac electron in graphene with magnetic fields arising from first-order intertwining operators
- Ehrenfest times for classically chaotic systems
- Graphene coherent states
- From self-adjoint to non self-adjoint harmonic oscillators: physical consequences and mathematical pitfalls
- Coherent states of a charged particle in a uniform magnetic field
- Spectrally isomorphic Dirac systems: graphene in electromagnetic field
- Qualitative analysis of trapped Dirac fermions in graphene
- More mathematics for pseudo-bosons
- Quantum-Classical Limit of Quantum Correlation Functions
- Landau Levels in Uniaxially Strained Graphene: A Geometrical Approach
- WKB Propagation of Gaussian Wavepackets
- Low-energy theory for strained graphene: an approach up to second-order in the strain tensor
- Partial positive refraction in asymmetric Veselago lenses of uniaxially strained graphene
- Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
- Barut-Girardello coherent states for anisotropic 2D-Dirac materials
- Coherent states in magnetized anisotropic 2D Dirac materials
- Graphene transparency in weak magnetic fields
- Coherent States for the Isotropic and Anisotropic 2D Harmonic Oscillators
- Superintegrability of the Fock-Darwin system
- A concise review on pseudo-bosons, pseudo-fermions and their relatives
- Semiclassical evolution of quantum wave packets on the torus beyond the Ehrenfest time in terms of Husimi distributions
- Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene
- Quantum mechanics in magnetic backgrounds with manifest symmetry and locality
- Time evolution of autocorrelation function in dynamical replica theory
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