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Magnetic field induced directional localization in a 2D rectangular lattice

Armelle Barelli·Jean Bellissard·Francisco Claro
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Abstract

We study the effect of a perpendicular uniform magnetic field on the dissipative conductivity of a rectangular lattice with anisotropic hopping, $t_x\neq t_y $. 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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Armelle Barelli, Jean Bellissard, Francisco Claro. 1999-10-14. Magnetic field induced directional localization in a 2D rectangular lattice. https://doi.org/10.1103/physrevlett.83.5082

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