QUANTUM EFFECTS DUE TO A MAGNETIC FLUX ASSOCIATED TO A TOPOLOGICAL DEFECT

Author:

DE A. MARQUES GEUSA1,BEZERRA V. B.2,FURTADO C.2,MORAES F.3

Affiliation:

1. Departamento de Física, Universidade Estadual da Paraíba, Av. Juvêncio Arruda S/N, 58109-790, Campina Grande, Pb, Brazil

2. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Pb, Brazil

3. Departamento de Física, Universidade Federal de Pernambuco, 58670-901, Recife, Pe, Brazil

Abstract

We investigate the quantum scattering of an electron by a topological defect called dispiration, with an externally applied magnetic field along its axis. The Aharonov–Bohm effect for bound states is analyzed and it is demonstrated that the wave function and the energy spectra associated with the particle depend on the features of the dispiration as well as on the magnetic flux. We also calculate Berry's phase associated to the dynamics of electrons in this background.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Reference37 articles.

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2. E. Kröner, Proc. Les Houches Summer School, Session XXXV, 1980 — Physics of Defects, eds. R. Balian (North-Holland, Amsterdam, 1981) pp. 282–315.

3. Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry

4. Gauge Fields in Condensed Matter

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