Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism
Mesoscale and Nanoscale Physics
2012-09-07 v2
Abstract
We investigate numerically the integer quantum Hall effect (IQHE) in a two-dimensional square lattice with non-interacting electrons subjected to disorder and uniform magnetic field in a direction perpendicular to the lattice plane. We employ nearest-neighbor tight-binding Hamiltonian to describe the system and obtain the longitudinal and transverse conductivities by using Kubo formalism. The interplay between the magnetic field and disorder is also discussed. Our analysis may be helpful in studying IQHE in any discrete lattice model.
Keywords
Cite
@article{arxiv.1202.1960,
title = {Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism},
author = {Paramita Dutta and Santanu K. Maiti and S. N. Karmakar},
journal= {arXiv preprint arXiv:1202.1960},
year = {2012}
}
Comments
7 pages, 7 figures