Relativistic Landau Levels in the Rotating Cosmic String Spacetime

TL;DR

This paper investigates the energy levels of a scalar particle in a rotating cosmic string spacetime, revealing Landau quantization effects influenced by spacetime rotation, magnetic fields, and string spin, including cases without gauge fields.

Contribution

It provides a comprehensive analysis of Landau levels in a rotating cosmic string background, incorporating magnetic fields, scalar potentials, and string spin effects, with exact solutions for various configurations.

Findings

Landau levels are present even without gauge fields if the string has spin.

The energy spectrum is affected by the rotation and magnetic field.

Exact solutions for Klein-Gordon equations in this spacetime are obtained.

Abstract

In the spacetime induced by a rotating cosmic string we compute the energy levels of a massive spinless particle coupled covariantly to a homogeneous magnetic field parallel to the string. Afterwards, we consider the addition of a scalar potential with a Coulomb-type and a linear confining term and completely solve the Klein-Gordon equations for each configuration. Finally, assuming rigid-wall boundary conditions, we find the Landau levels when the linear defect is itself magnetized. Remarkably, our analysis reveals that the Landau quantization occurs even in the absence of gauge fields provided the string is endowed with spin.