Integer quantum Hall effect in a square lattice revisited
Mesoscale and Nanoscale Physics
2012-03-23 v4
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.
Keywords
Cite
@article{arxiv.1108.3517,
title = {Integer quantum Hall effect in a square lattice revisited},
author = {Santanu K. Maiti and Moumita Dey and S. N. Karmakar},
journal= {arXiv preprint arXiv:1108.3517},
year = {2012}
}
Comments
5 pages, 5 figures