Relativistic Hall Effect

Relativistic Hall effect.

We consider the relativistic deformation of quantum waves and mechanical bodies carrying intrinsic angular momentum (AM). When observed in a moving reference frame, the centroid of the object undergoes an AM-dependent transverse shift. This is the relativistic analogue of the spin-Hall effect, which occurs in free space without any external fields. Remarkably, the shifts of the geometric and en...

The Quantum Hall Effect and Relativistic Hydrogen Atom

In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to the correct measurement of h/e. Therefore, the quantized Hall effect was fur...

اثر هال (hall effect)

Landau level substructure and mixing in the relativistic quantum Hall effect

We calculate the local density of states for a relativistic massless particle in the presence of crossed electric and magnetic fields. The Landau levels are broadened and aquire a modulation due to the electric field. We give detailed predictions for the shape of Landau levels in the relativistic case based on analytical expressions.

Insulating to relativistic quantum Hall transition in disordered graphene

CNRS Laboratoire de Photonique et de Nanostructures, Route de Nozay, 91460 Marcoussis, France, LPMC, Département de Physique, Faculté des Sciences de Tunis, Université Tunis-Manar, Campus Universitaire, 1060 Tunis, Tunisia, Laboratoire National de Métrologie et d’Essais, 29 Avenue Roger Hennequin, 78197 Trappes, France, Laboratoire de Physique des Solides, CNRS UMR 8502, Université Paris-Sud, 9...