The Chalker-Coddington Network Model is Quantum Critical
Mesoscale and Nanoscale Physics
2009-10-31 v2 Disordered Systems and Neural Networks
Strongly Correlated Electrons
Abstract
We show that the localization transition in the integer quantum Hall effect as described by the Chalker-Coddington network model is quantum critical. We first map the anisotropic network model to the problem of diagonalizing a one-dimensional non-Hermitian non-compact supersymmetric lattice Hamiltonian of interacting bosons and fermions. Its behavior is investigated numerically using the density matrix renormalization group method, and critical behavior is found at the plateau transition. This result is confirmed by an exact, analytic, generalization of the Lieb-Schultz-Mattis theorem.
Cite
@article{arxiv.cond-mat/9812261,
title = {The Chalker-Coddington Network Model is Quantum Critical},
author = {J. B. Marston and Shan-Wen Tsai},
journal= {arXiv preprint arXiv:cond-mat/9812261},
year = {2009}
}
Comments
Version accepted for publication in PRL. 4 pages, 2 eps figures