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arXiv · 0710.5786

Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers

Pavel Streda·Thibaut Jonckheere·Thierry Martin
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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.

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Pavel Streda, Thibaut Jonckheere, Thierry Martin. 2007-10-31. Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers. https://doi.org/10.1103/physrevlett.100.146804

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