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

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

2007-10-31

arxiv.org/abs/0710.5786v1

Physical Review Letters 100 (2008) 146804

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.100.146804

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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