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Magnetic field induced directional localization in a 2D rectangular lattice

Armelle Barelli, Jean Bellissard, Francisco Claro

cond-matarXiv:cond-mat/9910209

Abstract

We study the effect of a perpendicular uniform magnetic field on the dissipative conductivity of a rectangular lattice with anisotropic hopping, tx≠ ty . We show that the magnetic field may enhance dramatically the directional anisotropy in the conductivity. The effect is a measurable physical realization of Aubry's duality in Harper systems.

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