Landau quantization in the spinning cosmic string spacetime

Abstract

We analyze the quantum phenomenon arising from the interaction of a spinless charged particle with a rotating cosmic string, under the action of a static and uniform magnetic field parallel to the string. We calculate the energy levels of the particle in the non-relativistic approach, showing how these energies depend on the parameters involved in the problem. In order to do this, we solve the time independent Schrödinger equation in the geometry of the spinning cosmic string, taking into account that the coupling between the rotation of the spacetime and the angular momentum of the particle is very weak, such that makes sense to apply the Schrödinger equation in a curved background whose metric has an off diagonal term which involves time and space. It is also assumed that the particle orbits sufficiently far from the boundary of the region of closed timelike curves which exist around this topological defect. Finally, we find the Landau levels of the particle in the presence of a spinning cosmic string endowed with internal structure, i.e., having finite width and uniformly filled with both material and vacuum energies.

Relativistic Landau levels in the rotating cosmic string spacetime

“…(13) and (16) eigenvalues and eigenfunctions depend nontrivially on both the string spinning parameter a, the topological deficit α, and the particle's angular momentum l. Turning off the string rotation, makes the Landau levels to collapse to those of a static string [27,30], as expected. The non-relativistic limit of the energies was also found and equally well compared with the static case; the present result improves and corrects a previous one obtained by means of a simpler approach [26]. In Sect.…”

“…Regarding Landau levels, in the spacetime of a stationary spinning cosmic string one does not find much literature [25,26] in contrast to what happens with static strings (see [27][28][29][30], and references therein). This is probably due to the analogies and possible technological applications [31] found in condensed matter physics (e.g.…”

“…It is also opportune to check the non-relativistic limit in order to improve a previous nonrelativistic calculation made with a much simpler approach [26].…”

Quantum dynamics of scalar bosons in a cosmic string background

“…Finally, it is worthwhile to mention that the natural extension of the present work is to consider more general backgrounds, as for instance a global monopole [61] and a spinning cosmic string [62,63], among others.…”

Hall Conductivity in the Cosmic Defect and Dislocation Spacetime

“…For instance, the cosmic string [1][2][3][4], global monopole [5], and domain wall [6][7][8][9][10][11] can be formed at the phase transitions of the early universe from symmetric to asymmetric configurations. Even though topological defects have been commonly observed in condensed matter systems, so far there is no direct experimental evidence of the cosmological defects due to their extremely high energies.…”