Integer quantum Hall effect in a square lattice revisited

Details Integer quantum Hall effect in a square lattice revisited Integer quantum Hall effect in a square lattice revisited

2011-08-17

arxiv.org/abs/1108.3517v4

Physics Letters A, Volume 376, Issue 16, 19 March 2012, Pages 1366-1370

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 5 figures

Scientific paper

10.1016/j.physleta.2012.03.008

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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