Integer quantum Hall effect in a lattice model revisited: Kubo formalism

2012/02/29 by Paramita Dutta, Santanu K. Maiti, S. N. Karmakar
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1063/1.4748312

published as Journal of Applied Physics, Volume 112, Issue 4, Page 044306 (2012) · 7 pages, 7 figures

arxiv created 2012/03/05 · openalex publication_date 2012/08/15 · arxiv updated 2012/09/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate numerically the integer quantum Hall effect (IQHE) in a two-dimensional square lattice with non-interacting electrons in presence of disorder and subjected to 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 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.

Citations

• Theory of the quantized hall effect
• Redistributing Chern Numbers of Landau Subbands: Tight-Binding Electrons under Staggered Modulated Magnetic Fields
• New Universality of the Metal-Insulator Transition in an Integer Quantum Hall Effect System
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Disappearance of Integer Quantum Hall Effect