On the missing magnetic flux and topological effects of a screw dislocation on a charged particle in an inhomogeneous magnetic field

Abstract

We study the interaction of an electron/hole with inhomogeneous magnetic field in the presence of a screw dislocation. We consider the internal structure of the defect, i.e., we consider the core that gives rise to a finite size to the defect. In addition, we assume that this core determines a forbidden region for the electron/hole. Then, we solve the Schrödinger equation and show that an Aharonov-Bohm-type effect arises from the influence of the topological defect and the missing magnetic flux on the eigenvalues of energy.

arXiv comment12 pages, no figure

References in corpus (14)

• The Kondo Effect in the Unitary Limit
• Phase Evolution in a Kondo Correlated System
• Nanoengineered magnetic-field-induced superconductivity
• Volterra Distortions, Spinning Strings, and Cosmic Defects
• Landau Levels in the Presence of Topological Defects
• Transmission Phase of a Quantum Dot with Kondo Correlation Near the Unitary Limit
• Persistent spin and mass currents and Aharonov-Casher effect
• Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• Landau Quantization in the Spinning Cosmic String Spacetime
• Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
• Bielectron vortices in two-dimensional Dirac semimetals
• Is the magnetic field necessary for the Aharonov-Bohm effect in mesoscopics?
• Conditional electron confinement in graphene via smooth magnetic fields

Cited by in corpus (3)

• Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Dynamics of massive and massless particles in the spacetime of a wiggly cosmic dislocation