Inertial-Hall effect: the influence of rotation on the Hall conductivity

Abstract

Inertial effects play an important role in classical mechanics but have been largely overlooked in quantum mechanics. Nevertheless, the analogy between inertial forces on mass particles and electromagnetic forces on charged particles is not new. In this paper, we consider a rotating non-interacting planar two-dimensional electron gas with a perpendicular uniform magnetic field and investigate the effects of the rotation in the Hall conductiv

Inertial and topological effects on a 2D electron gas

“…Our purpose here is to investigate the combined influence of rotation and disclination in the Hall conductivity. As expected, and in fact verified in [10,11], we find that rotation and the disclination, separately couple to angular momentum, as does the magnetic field. But, when rotation, disclination, and magnetic field act together on the free electron gas, a new coupling is found involving all of them simultaneously.…”

“…This means that such effect can find applications in the context of Hall sensors, for instance. In a previous work [11], we verified that the rotation breaks the degeneracy of the LL.…”

“…As discussed in [11], the Hamiltonian in cylindrical coordinates of a particle in a rotating disk, in the presence of a magnetic field = B Bz, can be written as…”

“…We consider a non-interacting free electron gas in a rotating disk with a disclination at its rotation axis, under the influence of a perpendicular, uniform, magnetic field. Charged particles in a rotating Hall sample with a magnetic field were already studied in [11], where it was pointed out that rotation breaks the degeneracy of the LL. Furthermore, the counting of states fully occupied below the Fermi energy may change, altering the Hall quantization steps.…”

Topological and non inertial effects on the interband light absorption

“…The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation was established in [14]. It is clear then, that rotation may be used as an additional tool to manipulate the electronic structure of charge carriers in low dimensional systems as discussed in [15,16].…”