Anomalous Hall effects and electron polarizability

Pavel Středa (1) , Thibaut Jonckheere (2, 3)

1 Institue of Physics
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332

A theory of the anomalous and spin Hall effects, based on the space distribution of the current densities, is presented. Spin-orbit coupling gives rise to a space separation of the mass centers, as well as a current density separation of the quasiparticle states having opposite group velocities. It is shown that this microscopic property is essential for existence of both Hall effects.

Mots clés: anomalous Hall effect; spin Hall effect; magnetic field; electronic transport

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

Pavel Středa, Thibaut Jonckheere. Anomalous Hall effects and electron polarizability. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2010, 82, pp.113303. ⟨10.1103/PhysRevB.82.113303⟩. ⟨hal-00457169⟩