Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
Mesoscale and Nanoscale Physics
2009-10-31 v6 Disordered Systems and Neural Networks
High Energy Physics - Theory
Abstract
The all-orders beta function is used to study disordered Dirac fermions in 2D. The generic strong coupling fixed `points' of anisotropic current-current interactions at large distances are actually isotropic manifolds corresponding to subalgebras of the maximal current algebra at short distances. The IR theories are argued to be current algebra cosets. We illustrate this with the simple example of anisotropic su(2), which is the physics of Kosterlitz-Thouless transitions. We work out the phase diagram for the Chalker-Coddington network model which is in the universality class of the integer Quantum Hall transition. One massless phase is in the universality class of dense polymers.
Cite
@article{arxiv.cond-mat/0011413,
title = {Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D},
author = {Andre' LeClair},
journal= {arXiv preprint arXiv:cond-mat/0011413},
year = {2009}
}
Comments
published version (Phys. Rev. B)