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Integer quantum Hall effect in a square lattice revisited

We investigate the phenomenon of integer quantum Hall effect in a square lattice, subjected to a perpendicular magnetic field, through Landauer-Büttiker 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.

preprint2012arXivOpen access
Santanu K. MaitiMoumita DeyS. N. Karmakar
cond-mat.mes-hall
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Open access3 authors1 topic
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Santanu K. MaitiMoumita DeyS. N. Karmakar

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