Related papers: Coherent states for graphene under the interaction of crossed electric and magnetic fields

Coherent states for graphene under the interaction of crossed electric and magnetic fields

URL: http://arxiv.org/abs/2008.09166v1
Date: Thu, 20 Aug 2020 19:10:49 GMT
Title: Coherent states for graphene under the interaction of crossed electric and magnetic fields
Authors: Miguel Castillo-Celeita, Erik D\'iaz-Bautista, Maurice Oliva-Leyva
Abstract summary: We construct the coherent states for charge carriers in a graphene layer immersed in crossed external electric and magnetic fields. In particular, these quantities are investigated for magnetic and electric fields near the condition of the Landau levels collapse.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We construct the coherent states for charge carriers in a graphene layer immersed in crossed external electric and magnetic fields. For that purpose, we solve the Dirac-Weyl equation in a Landau-like gauge avoiding applying techniques of special relativity, and thus we identify the appropriate rising and lowering operators associated to the system. We explicitly construct the coherent states as eigenstates of a matrix annihilation operator with complex eigenvalues. In order to describe the effects of both fields on these states, we obtain the probability and current densities, the Heisenberg uncertainty relation and the mean energy as functions of the parameter $\beta=c\,\mathcal{E}/(v_{\rm F}B)$. In particular, these quantities are investigated for magnetic and electric fields near the condition of the Landau levels collapse ($\beta\rightarrow1$).

Related papers

Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields [54.010858975226945]
We study the dynamics of EVBs in magnetic fields using exact solutions of the relativistic paraxial equation in magnetic fields. We provide a unified description of different regimes under generalized Gouy rotation, linking the Gouy phase to EVB rotation angles. This work offers new insights into the dynamics of EVBs in magnetic fields and suggests practical applications in beam manipulation and beam optics of vortex particles.
arXiv Detail & Related papers (2024-07-03T03:29:56Z)
Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
arXiv Detail & Related papers (2024-04-07T14:37:04Z)
Phase-space representation of coherent states generated through SUSY QM for tilted anisotropic Dirac materials [0.0]
We focus on a distinct non-zero electric field magnitude, enabling the decoupling of the differential equation system inherent in the eigenvalue problem. Supersymmetric quantum mechanics facilitates the determination of eigenstates and eigenvalues corresponding to the Hamiltonian operator.
arXiv Detail & Related papers (2024-03-27T23:04:51Z)
Exceptional points and ground-state entanglement spectrum of a fermionic extension of the Swanson oscillator [8.84834042985207]
We investigate the structure of a non-hermitian quantum system consisting of a general representation of a quadratic Hamiltonian. It is found that the model exhibits a quantum phase transition due to the presence of a ground-state crossing.
arXiv Detail & Related papers (2024-01-30T17:20:34Z)
Fermionic condensate and the vacuum energy-momentum tensor for planar fermions in homogeneous electric and magnetic fields [0.0]
We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The complete set of solutions to the Dirac equation is presented.
arXiv Detail & Related papers (2023-06-20T09:18:43Z)
Minkowski's lost legacy and hadron electromagnetism [8.356672364514097]
We revisit Minkowski's lost legacy on relativistic electromagnetism. We show how various charge distributions proposed in hadronic physics naturally emerge as the multipole moment densities.
arXiv Detail & Related papers (2022-06-26T15:31:09Z)
New Class of Landau Levels and Hall Phases in a 2D Electron Gas Subject to an Inhomogeneous Magnetic Field: An Analytic Solution [0.0]
Solution provides access to many properties of a two-dimensional, non-interacting, electron gas in the thermodynamic limit. Radially distorted Landau levels can be identified as well as magnetic field induced density and current oscillations close to the magnetic impurity.
arXiv Detail & Related papers (2022-01-13T16:52:02Z)
Schr\"{o}dinger-type 2D coherent states of magnetized uniaxially strained graphene [0.0]
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.
arXiv Detail & Related papers (2020-09-18T02:07:29Z)
Bilayer graphene coherent states [0.0]
We consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field. Departing from the energy eigenstates of the effective Hamiltonian, the corresponding coherent states will be constructed.
arXiv Detail & Related papers (2020-07-05T03:02:44Z)
Majorana bound states in topological insulators with hidden Dirac points [25.488181126364186]
We show that well-defined Majorana bound states can be obtained even in materials with hidden Dirac point. The obtained topological phase diagram allows one to extract precisely the position of the Dirac point in the spectrum.
arXiv Detail & Related papers (2020-04-22T15:04:39Z)
Spin orbit field in a physically defined p type MOS silicon double quantum dot [7.272152812337904]
We investigate the spin orbit (SO) field in a physically defined, p type metal oxide semiconductor double quantum dot in silicon. We find that the spin flip of a tunneling hole is due to a SO field pointing to the double dot axis and almost fully out of the quantum well plane.
arXiv Detail & Related papers (2020-03-16T09:00:38Z)

This list is automatically generated from the titles and abstracts of the papers in this site.