Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism

Details Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism

2012-02-09

arxiv.org/abs/1202.1960v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 7 figures

Scientific paper

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.

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