Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers
Mesoscale and Nanoscale Physics
2008-04-14 v1
Abstract
A theory of the static electron polarizability of crystals whose energy spectrum is modified by quantizing magnetic fields is presented. It is argued that The polarizability is strongly affected by non-dissipative Hall currents induced by the presence of crossed electric and magnetic fields: these can even change its sign. Results are illustrated in detail for a two dimensional square lattice. The polarizability and the Hall conductivity are respectively linked to the two topological quantum numbers entering the so--called Diophantine equation. These numbers could in principle be detected in actual experiments.
Keywords
Cite
@article{arxiv.0710.5786,
title = {Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers},
author = {Pavel Streda and Thibaut Jonckheere and Thierry Martin},
journal= {arXiv preprint arXiv:0710.5786},
year = {2008}
}