arXiv:1202.1960 [cond-mat.mes-hall]AbstractReferencesReviewsResources
Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism
Paramita Dutta, Santanu K. Maiti, S. N. Karmakar
Published 2012-02-09, updated 2012-03-05Version 2
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.
Comments: 7 pages, 7 figures
Journal: Journal of Applied Physics, Volume 112, Issue 4, Page 044306 (2012)
DOI: 10.1063/1.4748312
Categories: cond-mat.mes-hall
Keywords: integer quantum hall effect, kubo formalism, lattice model, employ nearest-neighbor tight-binding hamiltonian, uniform magnetic field
Tags: journal article
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