English

Direct and inverse spin Hall effect: Lorentz force and Zeeman energy

Mesoscale and Nanoscale Physics 2020-03-18 v1

Abstract

It is shown that magnetic forces as the Lorentz force, exerted on electric currents, and the force {\mu}Div(B), exerted on electron spins at rest, account for both the transverse spin imbalance typical of spin Hall effect and the transverse charge imbalance associated with pure spin currents (inverse spin Hall effect). Considering that for stationary currents the laboratory reference frame and those for which the spin up and spin down carriers are at rest are inertial systems, one can easily find the forces exerted by the lattice on both spin sub-bands, as well as the force between sub-bands.

Keywords

Cite

@article{arxiv.1908.07515,
  title  = {Direct and inverse spin Hall effect: Lorentz force and Zeeman energy},
  author = {Antonio Hernando and Fernando Gálvez and Francisco Guinea},
  journal= {arXiv preprint arXiv:1908.07515},
  year   = {2020}
}

Comments

3 pages main body, 3 figures, 1 page supplementary information

R2 v1 2026-06-23T10:52:31.031Z