Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian
Condensed Matter
2011-08-05 v1
Abstract
We consider models for the plateau transition in the integer quantum Hall effect. Starting from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions. In the general case, the Dirac Hamiltonian has randomness in the mass, the scalar potential, and the vector potential. Separately, we show that the network model can also be associated with a nearest neighbour, tight-binding Hamiltonian.
Cite
@article{arxiv.cond-mat/9605073,
title = {Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian},
author = {C. -M. Ho and J. T. Chalker},
journal= {arXiv preprint arXiv:cond-mat/9605073},
year = {2011}
}
Comments
Revtex, 15 pages, 7 figures; submitted to Phys. Rev. B