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

Journal Article · Fri Oct 15 00:00:00 EDT 2021 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2021.168598· OSTI ID:23183213

Bakke, K., E-mail: [e-mail]; Furtado, C., E-mail: [e-mail] ^[1]

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1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-900 (Brazil)

Highlights: • Aharonov–Bohm-type effect associated with the missing magnetic flux. • Persistent currents associated with the missing magnetic flux. • Aharonov–Bohm-type effect associated with the screw dislocation topology. 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.

• OSTI ID: 23183213
• Journal Information: Annals of Physics, Vol. 433; Other Information: Copyright (c) 2021 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
EIGENVALUES
ELECTRONS
MAGNETIC FIELDS
MAGNETIC FLUX
SCREW DISLOCATIONS
TOPOLOGY