Quantum Effects Due to a Magnetic Flux Associated to a Topological Defect

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.

Harmonic oscillator in an elastic medium with a spiral dislocation

“…The common point between these areas of physics is the description of these defects made by the Volterra process [1,2,4,5]. Up to now, a great deal of study has explored quantum system in the presence of disclinations [6][7][8][9][10] and screw dislocations [5,[11][12][13][14][15][16] in the context of condensed matter physics. In particular, torsion effects related to the presence of topological defects are in the interests of studies of semiconductors [17][18][19][20].…”

The Analogue of the Aharonov–bohm Effect for Bound States for Neutral Particles

“…Several discussions about the Aharonov-Bohm effect for bound states can be found in the literature in the context of condensed matter with the presence of linear topological defects. [10][11][12][13] In this paper, we intend to study the analogue of the Aharonov-Bohm effect for bound states for a nonrelativistic neutral particle with permanent magnetic dipole moment. This effect, analogous to the Aharonov-Bohm effect for bound states, is achieved when we consider the Aharonov-Casher system and restrict the neutral particle to move between two coaxial cylindrical shells with impenetrable walls.…”

On an atom with a magnetic quadrupole moment in a rotating frame

“…Hall effect [73], quantum scattering [74][75][76], spin currents [77], cylindrical shells [78] and geometric quantum phases [79,80].…”