Persistent spin currents in an elastic Landau system

Abstract

We consider a neutral particle with permanent magnetic dipole moment in an elastic medium with the presence of a uniform distribution of screw dislocations interacting with a radial electric field. We show that the uniform distribution of dislocations plays the role of an effective uniform magnetic field, and obtain a spectrum of energy which depends on the Aharonov-Casher geometric phase [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984)]. Moreover, from the dependence of energy levels on the Aharonov-Casher geometric phase, we calculate the persistent spin currents in this elastic Landau system.

Thermodynamics of the two-dimensional quantum harmonic oscillator system subject to a hard-wall confining potential

“…Recently, the influence of a hard-wall confining potential has been investigated on an elastic Landau system [39], on the Landau system for a neutral particle with no permanent electric dipole moment [38] and on a neutral particle with permanent electric and magnetic dipole moments in non-inertial reference frames [46,47]. An interesting further discussion would be the influence of topological defects on the harmonic oscillator system subject to a hard-wall confining potential.…”

“…, namely [33,38,39,46,47] Figure 1. On the left we have a schematic picture of a two-dimensional harmonic oscillator of mass m in a circular cavity of radius ρ 0 , where j is the polar angle.…”

A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields

“…Despite the presence of an effective uniform magnetic field (12), the energy levels (25) correspond to the spectrum of energy of a Landau-type system subject to a hard-wall confining potential [28,29]. Observe that the energy levels (25)) are parabolic with respect to the quantum number n in contrast to the analogue of the Landau levels in Eq.…”

“…( 11) to a hard-wall confining potential. For this purpose, let us also assume that the wave function is well-behaved at the origin as in the previous section, and thus assume that the wave function vanishes at a fixed radius ρ 0 [26][27][28][29], that is,…”

“…In this section, we discuss the confinement of the Landau-type system that stems from the Lorentz symmetry violation background established by a time-like fixed vector and the field configuration given in equation ( 11) to a hard-wall confining potential. For this purpose, let us also assume that the wave function is well-behaved at the origin as in the previous section, and thus assume that the wave function vanishes at a fixed radius ρ 0 [26][27][28][29], that is…”