Quantum ring states in magnetic field and delayed half-cycle pulses

Batra, Kriti; Joshi, Hira; Prasad, Vinod

doi:10.1007/s12043-016-1226-6

Cited by 4 publications

(2 citation statements)

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“…As mentioned in the Introduction, a plethora of schemes, requiring the presence of a magnetic field, has been advanced to overpass the problem. Rings and annuli are perfectly suitable to be used with a magnetic field because of their circular symmetry; they provide a fundamental environment for basic and applicative use [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Now, we discuss the problem of the annulus crossed by an orthogonal static magnetic field B 0 .…”

Section: Static Magnetic Fieldmentioning

confidence: 99%

“…It has been proven that electrons bound on a one-dimensional (1D) ring and acted upon by a strong laser field of frequency ω L generate currents [22,30,43] and emit electromagnetic radiation with a broad spectrum of harmonics of ω L [15,21,25,27,33,44]. Thus, it is proper to investigate the behaviour of a Dirac electron on an annulus shown by a laser field.…”

Section: Adding a Lasermentioning

confidence: 99%

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Laser Assisted Dirac Electron in a Magnetized Annulus

Fiordilino

2021

Symmetry

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We study the behaviour of a charge bound on a graphene annulus under the assumption that the particle can be treated as a massless Dirac electron. The eigenstates and relative energy are found in closed analytical form. Subsequently, we consider a large annulus with radius ρ∈[5000,10,000]a0 in the presence of a static magnetic field orthogonal to its plane and again the eigenstates and eigenenergies of the Dirac electron are found in both analytical and numerical form. The possibility of designing filiform currents by controlling the orbital angular momentum and the magnetic field is shown. The currents can be of interest in optoelectronic devices that are controlled by electromagnetic radiation. Moreover, a small radial force acts upon the annulus with a stretching effect. A linearly polarized electromagnetic field propagating in the orthogonal direction is added; the time evolution of the operators show that the acceleration of the electron is proportional to the rate of change of the spin of the particle.

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