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arXiv · 1108.3517

Integer quantum Hall effect in a square lattice revisited

Santanu K. Maiti·Moumita Dey·S. N. Karmakar
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Abstract

We investigate the phenomenon of integer quantum Hall effect in a square lattice, subjected to a perpendicular magnetic field, through Landauer-B\"uttiker formalism within the tight-binding framework. The oscillating nature of longitudinal resistance and near complete suppression of momentum relaxation processes are examined by studying the flow of charge current using Landauer-Keldysh prescription. Our analysis for the lattice model corroborates the finding obtained in the continuum model and provides a simple physical understanding.

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Santanu K. Maiti, Moumita Dey, S. N. Karmakar. 2011-08-17. Integer quantum Hall effect in a square lattice revisited. https://doi.org/10.1016/j.physleta.2012.03.008

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