scholarly journals Bound states in disclinated graphene with Coulomb impurities in the presence of a uniform magnetic field

2014 ◽  
Vol 378 (30-31) ◽  
pp. 2317-2324 ◽  
Author(s):  
J.F.O. de Souza ◽  
C.A. de Lima Ribeiro ◽  
Claudio Furtado
Author(s):  
Faizuddin Ahmed

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.


2018 ◽  
Vol 27 (02) ◽  
pp. 1850005 ◽  
Author(s):  
R. L. L. Vitória ◽  
K. Bakke

We investigate the analog effect of the Aharonov–Bohm effect for bound states in two relativistic quantum systems in a spacetime with a spacelike dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyze the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement of a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein–Gordon oscillator with a uniform magnetic field is analyzed. We first focus on the effects of torsion that stem from the spacetime with a spacelike dislocation and the geometric quantum phase. Then, we analyze the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.


1998 ◽  
Vol 12 (18) ◽  
pp. 1823-1846
Author(s):  
Loredana Valente ◽  
Vincenzo Marigliano Ramaglia

The effect of an impurity on the spectrum of a Bloch electron in a uniform magnetic field is studied. Rational values of the magnetic flux parameter, defined as the ratio between the magnetic flux through a unit cell and the flux quantum, have been considered, corresponding to a subband spectrum for the electron energy. The impurity levels are determined through an extension of the Koster–Slater method, using the magnetic Wannier functions, a generalization of the usual Wannier functions in the presence of a magnetic field.


2008 ◽  
Vol 44 (2) ◽  
pp. 175-182 ◽  
Author(s):  
K. Zimmermann ◽  
V.A. Naletova ◽  
I. Zeidis ◽  
V.A. Turkov ◽  
D.A. Pelevina ◽  
...  

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