Magnetic field induced directional localization in a 2D rectangular lattice
Armelle Barelli, Jean Bellissard, Francisco Claro
TL;DR
This paper investigates how a perpendicular magnetic field influences the directional conductivity in a 2D rectangular lattice with anisotropic hopping, revealing a significant enhancement of anisotropy linked to Aubry's duality.
Contribution
It demonstrates that magnetic fields can dramatically increase directional anisotropy in conductivity, providing a physical realization of Aubry's duality in Harper systems.
Findings
Magnetic field enhances directional anisotropy in conductivity.
The effect is a measurable realization of Aubry's duality.
Anisotropic hopping influences the magnetic field's impact.
Abstract
We study the effect of a perpendicular uniform magnetic field on the dissipative conductivity of a rectangular lattice with anisotropic hopping, . 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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