Landau quantization for a neutral particle in the presence of topological defects

Abstract

In this paper we study the Landau levels in the non-relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved spacetime background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a neutral particle with a permanent electric dipole moment. * Electronic address: kbakke,lrr,jroberto,furtado@fisica.ufpb.br

Influences of a topological defect on the spin Hall effect

“…It was shown that the presence of a cosmic string breaks the infinite degeneracy of the Landau levels. Reference [29] has also investigated the Landau quantization for a neutral particle with permanent magnetic dipole moments in a cosmic string and cosmic dislocation space time. And more recently, the relativistic and non relativistic quantum dynamics of a neutral particle with permanent magnetic and electric dipole moments were studied in the curved space time [30].…”

Landau Quantization for a Neutral Particle in the Presence of Topological Defects

“…In this section, we study the Landau-Aharonov-Casher quantization in the nonrelativistic quantum dynamics of a neutral particle with a permanent magnetic dipole moment in the presence of a dispiration 16,17 , that corresponds to a dispiration including torsion, whose the spatial part of line element, in the cosmic dislocation spacetime, is given by…”

“…Recently, the quantum dynamics of relativistic 13,14 and non-relativistic 15 particles in the presence of a topological defects have been studied 16 . The influence of a topological defect on the Landau levels has been investigated in recent years 18,19 .…”

Landau quantization for an induced electric dipole in the presence of topological defects

“…In the presence of a density of screw dislocations, the Landau levels are studied in [38]. Landau quantization for neutral particles with a constant magnetic dipole moment interacting with an external electric field in the presence of topological defects was studied in [39]. It was shown that the presence of topological defects in the non-relativistic quantum dynamics of the neutral particle with a constant magnetic dipole moment breaks the infinite degeneracy of the Landau levels.…”

“…In recent works, Landau quantization was studied in the presence of topological defects [35][36][37][38][39]. In [35,36] the influence of a disclination and dislocation in the energy levels was studied when an electron interacts with a magnetic field, respectively.…”