On the theory of plateau-plateau transitions in Quantum Hall Effect
Mesoscale and Nanoscale Physics
2010-01-15 v1 Disordered Systems and Neural Networks
High Energy Physics - Theory
Abstract
The Lagrangian (action) formulation of the Chalker-Coddington network model for plateau-plateau transitions in quantum Hall effect is presented based on a model of fermions hopping on Manhattan Lattice (). The dimensionless Landauer resistance is considered and its average is calculated over the random U(1) phases with constant distribution on the circle. The Lagrangian of the resultant model on is found and the corresponding -matrix is written down. It appeared, that this model is integrable, rising hope to investigate physics of plateau- plateau transitions by the exact method of powerful Algebraic Bethe Ansatz .
Keywords
Cite
@article{arxiv.cond-mat/0303349,
title = {On the theory of plateau-plateau transitions in Quantum Hall Effect},
author = {A. Sedrakyan},
journal= {arXiv preprint arXiv:cond-mat/0303349},
year = {2010}
}
Comments
10 pages, Latex, 3 figures