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.

► Integer quantum Hall effect has been revisited in a discrete lattice model.
► Longitudinal and transverse conductivities have been computed by using Landauer–Büttiker formalism.
► Evidences of zero and non-zero longitudinal resistances have been clearly described.