Integer quantum Hall effect in a square lattice revisited
Santanu K. Maiti, Moumita Dey, S. N. Karmakar
TL;DR
This paper revisits the integer quantum Hall effect in a square lattice under a magnetic field, using Landauer-Büttiker formalism to analyze charge transport and resistance oscillations, confirming continuum model results.
Contribution
It provides a detailed lattice model analysis of the quantum Hall effect, offering a clear physical understanding and corroborating continuum model findings.
Findings
Oscillating longitudinal resistance observed
Near complete suppression of momentum relaxation
Confirmation of continuum model results
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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