scholarly journals The effects of inner radius and width on the energy spectrum and persistent current in zigzag hexagonal graphene quantum rings

2018 ◽  
Vol 18 (2) ◽  
pp. 181-188
Author(s):  
E faizabadi ◽  
M ghorbani ◽  
◽  
Keyword(s):  
Energy Spectrum ◽  
Persistent Current ◽  
Quantum Rings ◽  
Inner Radius

Modulation of persistent current in graphene quantum rings

2021 ◽  
Author(s):  
Francisco Ronan Viana Araújo ◽  
Diego Rabelo da Costa ◽  
André Jorge Carvalho Chaves ◽  
Francisco Etan Batista de Sousa ◽  
Joao Milton Pereira Jr.
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Long Range ◽  
Charge Carriers ◽  
Persistent Current ◽  
Localized States ◽  
Perpendicular Magnetic Field ◽  
Quantum Rings ◽  
Additional Phase

Abstract We investigate the effect of long-range impurity potentials on the persistent current of graphene quantum rings in the presence of an uniform perpendicular magnetic field. The impurity potentials are modeled as finite regions of the ring with a definite length. We show that, due to the relativistic and massless character of the charge carriers in graphene, the effect of such non-uniform potentials on the energy spectrum and on the persistent current of the rings can be reliably modeled by assuming a non-perturbed ring and including an additional phase due to the interaction of the charge carriers with the potential. In addition, the results show the presence of localized states in the impurity regions. Moreover, we show that for the case of a potential created by a p-n-p junction, the persistent current can be modulated by controlling the voltage at the junction.

scholarly journals ENERGY SPECTRUM, PERSISTENT CURRENT AND ELECTRON LOCALIZATION IN QUANTUM RINGS

2005 ◽  
Author(s):  
M. MANNINEN ◽  
P. KOSKINEN ◽  
M. KOSKINEN ◽  
P. SINGHA DEO ◽  
S.M. REIMANN ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Persistent Current ◽  
Electron Localization ◽  
Quantum Rings

Impurities and geometrical effects on the electron energy spectrum of quantum rings

2008 ◽  
Vol 77 (8) ◽  
Author(s):  
G. A. Farias ◽  
M. H. Degani ◽  
J. A. K. Freire ◽  
J. Costa e Silva ◽  
R. Ferreira
Keyword(s):  
Energy Spectrum ◽  
Electron Energy ◽  
Electron Energy Spectrum ◽  
Quantum Rings ◽  
Geometrical Effects

DRIVEN MESOSCOPIC ELECTRIC CIRCUITS

2008 ◽  
Vol 22 (01) ◽  
pp. 51-60 ◽  
Author(s):  
F. KHEIRANDISH ◽  
H. PAHLAVANI
Keyword(s):  
Quantum Theory ◽  
Energy Spectrum ◽  
Algebraic Approach ◽  
Electric Circuit ◽  
External Source ◽  
Persistent Current ◽  
Time Dependent ◽  
Quantum Ring ◽  
Electric Circuits

The quantum theory for a mesoscopic electric circuit with charge discreteness is investigated. The persistent current on a quantum ring using an algebraic approach have been obtained. The energy spectrum and the persistent current of a quantum LC-design mesoscopic circuit, with a time-dependent external source, have been found.

scholarly journals Oscillatory persistent currents in quantum rings

2021 ◽  
Author(s):  
Alexander A. Vasilchenko
Keyword(s):  
Angular Momentum ◽  
Density Functional ◽  
Total Angular Momentum ◽  
Persistent Current ◽  
Magic Numbers ◽  
Persistent Currents ◽  
Empirical Expression ◽  
Functional Theory ◽  
Quantum Rings ◽  
The Density Functional Theory

Abstract The density functional theory is used to study persistent currents in two-dimensional quantum rings containing several electrons. We find a series of magic numbers for the total angular momentum of electrons in the strong magnetic field and show that changes in the angular momentum of electrons lead to persistent current oscillations. We suggest an empirical expression for the period of persistent current in quantum rings and examine the effect of Coulomb interaction on the properties of persistent currents.

Geometrical and impurities effects on the energy spectrum in quantum rings

2007 ◽  
Author(s):  
G. A. Farias ◽  
J. A. K. Freire ◽  
M. H. Degani ◽  
R. Ferreira
Keyword(s):  
Energy Spectrum ◽  
Quantum Rings
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