English

Dynamical localization for Bloch electrons in Magnetic and Electric Fields

Mesoscale and Nanoscale Physics 2007-05-23 v1

Abstract

We study the time evolution of wave packets of noninteracting electrons in a two-dimensional periodic system in the presence of magnetic and electric fields. The model includes consistently the coupling between Landau levels as well as the periodic and external field contributions. It is shown that the electric field produces localization along its longitudinal direction, this effect is a physical consequence of the quantization of the energy levels with respect to the longitudinal quasi-momentum. For incommensurate orientations of E\mathbf{E} relative to the lattice the wave packet becomes localized in both directions.

Keywords

Cite

@article{arxiv.cond-mat/0401198,
  title  = {Dynamical localization for Bloch electrons in Magnetic and Electric Fields},
  author = {Manuel Torres Alejandro Kunold},
  journal= {arXiv preprint arXiv:cond-mat/0401198},
  year   = {2007}
}

Comments

10 pages, 4 figures

R2 v1 2026-07-22T10:58:42.601Z