Quantum ring in gapped graphene layer with wedge disclination in the presence of a uniform magnetic field

Non-relativistic effects on the interaction of a point charge with a uniform magnetic field in the distortion of a vertical line into a vertical spiral spacetime

“…is also the quantum number associated with the radial modes. Then, by substituting the parameters defined in equation ( 21) into equation (34), we obtain…”

On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

“…Over the past decades, the Dirac equation [1] has been studied in various subjects and fields of physics. For example, one can refer to study the Dirac oscillator [2,3], a charged Dirac particle in a static electromagnetic field [4], the Pseudospin symmetry of a Dirac nucleon in the relativistic Manning-Rosen potential [5], the Dirac particle in the curved space-time [6][7][8], the Dirac particle in the framework of the Lorentz-and CPT-violating standard-model extension [9][10][11][12][13][14], the electronic properties of graphene obtained from a Dirac Hamiltonian for a massless fermion [15,16], relativistic quantum dynamics of a Dirac particle confined in a quantum ring [17], the influence of dislocations, as a kind of topological defects in graphene, on the electronic properties of a Dirac particle [18], the Dirac particle in a chiral cosmic string space-time [19], the Dirac particle with arbitrary magnetic moment [20], bound-state dynamics of a neutron with an anomalous magnetic dipole moment interacting with certain external fields [21,22], bound states and geometric quantum phases for the Dirac particle with a magnetic dipole moment in a cosmic string space-time [23,24], on the second dipole moment of Dirac particle [25], and the developed form of particle-wave duality based on Einstein's geodesic equation in two-dimensional space-time versus the Dirac result [26].…”

Topological effects of a global monopole on a spherical quantum dot

“…Quantum wires have also been studied in the presence of screw dislocations [30,33,34]. With regard to a disclination, it is worth citing studies of its topological effects on quantum rings under the effects of rotation [35] and in graphene [36].…”