Coulomb impurity effect on Dirac electron in graphene magnetic dot

2013 ◽  
Vol 114 (14) ◽  
pp. 143708 ◽  
Author(s):  
C. M. Lee ◽  
K. S. Chan
Keyword(s):  
Impurity Effect ◽  
Dirac Electron ◽  
Magnetic Dot

Coulomb impurity effect on electrically induced Dirac bound states in graphene

2015 ◽  
Vol 29 (06) ◽  
pp. 1550037 ◽  
Author(s):  
C. M. Lee ◽  
K. S. Chan
Keyword(s):  
Magnetic Field ◽  
Graphene Sheet ◽  
Electrostatic Potential ◽  
Bound States ◽  
Electron System ◽  
Monolayer Graphene ◽  
Impurity Effect ◽  
Absorption Coefficients ◽  
Dirac Electron ◽  
Positively Charged

Using the massless Dirac–Weyl model for monolayer graphene sheet, we study the low-lying spectra of a single Dirac electron system bound to an on-center positively charged Coulomb impurity, under both electrostatic potential and magnetic field. Numerical results obtained from diagonalization show that, the increase of the electrostatic potential causes the low-lying states to evolve from one Landau-type plateau to the higher ones, and the whole spectra exhibit similar features with slight shifts in eigenenergies when the on-center impurity is considered. Electrostatic-potential dependent optical spectra with their corresponding absorption coefficients as functions of incident photon energies for transitions between low-lying states are presented.

scholarly journals Erratum: “Low-lying spectra of massless Dirac electron in magnetic dot and ring” [Appl. Phys. Lett. 96, 212101 (2010)]

2011 ◽  
Vol 99 (1) ◽  
pp. 019901
Author(s):  
C. M. Lee ◽  
Richard C. H. Lee ◽  
W. Y. Ruan ◽  
M. Y. Chou
Keyword(s):  
Dirac Electron ◽  
Magnetic Dot

Impurity effect on low-lying spectra in an electron magnetic dot

2002 ◽  
Vol 300 (2-3) ◽  
pp. 140-146
Author(s):  
C.M. Lee ◽  
J.K.F. Yau
Keyword(s):  
Impurity Effect ◽  
Magnetic Dot

Low-lying spectra of massless Dirac electron in magnetic dot and ring

2010 ◽  
Vol 96 (21) ◽  
pp. 212101 ◽  
Author(s):  
C. M. Lee ◽  
Richard C. H. Lee ◽  
W. Y. Ruan ◽  
M. Y. Chou
Keyword(s):  
Dirac Electron ◽  
Magnetic Dot

scholarly journals Ambient-pressure Dirac electron system in the quasi-two-dimensional molecular conductor α−(BETS)2I3

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Shunsuke Kitou ◽  
Takao Tsumuraya ◽  
Hikaru Sawahata ◽  
Fumiyuki Ishii ◽  
Ko-ichi Hiraki ◽  
...  
Keyword(s):  
Ambient Pressure ◽  
Electron System ◽  
Two Dimensional ◽  
Molecular Conductor ◽  
Dirac Electron

scholarly journals The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr–Newman Solution

Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Alexander Burinskii
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Dirac Equation ◽  
Higgs Field ◽  
Vacuum State ◽  
Relativistic String ◽  
Dirac Equations ◽  
Dirac Electron ◽  
Relativistic Scattering

The Dirac electron is considered as a particle-like solution consistent with its own Kerr–Newman (KN) gravitational field. In our previous works we considered the regularized by López KN solution as a bag-like soliton model formed from the Higgs field in a supersymmetric vacuum state. This bag takes the shape of a thin superconducting disk coupled with circular string placed along its perimeter. Using the unique features of the Kerr–Schild coordinate system, which linearizes Dirac equation in KN space, we obtain the solution of the Dirac equations consistent with the KN gravitational and electromagnetic field, and show that the corresponding solution takes the form of a massless relativistic string. Obvious parallelism with Heisenberg and Schrödinger pictures of quantum theory explains remarkable features of the electron in its interaction with gravity and in the relativistic scattering processes.

scholarly journals Laser Assisted Dirac Electron in a Magnetized Annulus

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 642
Author(s):  
Emilio Fiordilino
Keyword(s):  
Magnetic Field ◽  
Analytical Form ◽  
Relative Energy ◽  
Radial Force ◽  
Rate Of Change ◽  
Orthogonal Direction ◽  
Linearly Polarized ◽  
Dirac Electron ◽  
A Charge ◽  
Stretching Effect

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.

Energy spectra of a single-electron magnetic dot using the massless Dirac–Weyl equation

2010 ◽  
Vol 22 (35) ◽  
pp. 355501 ◽  
Author(s):  
C M Lee ◽  
Richard C H Lee ◽  
W Y Ruan ◽  
M Y Chou
Keyword(s):  
Single Electron ◽  
Energy Spectra ◽  
Weyl Equation ◽  
Magnetic Dot
Sign in / Sign up

Export Citation Format

Share Document