Complex random matrix models with possible applications to spin- impurity scattering in quantum Hall fluids
Condensed Matter
2009-10-28 v1
Abstract
We study the one-point and two-point Green's functions in a complex random matrix model to sub-leading orders in the large N limit. We take this complex matrix models as a model for the two-state scattering problem, as applied to spin dependent scattering of impurities in quantum Hall fluids. The density of state shows a singularity at the band center due to reflection symmetry. We also compute the one-point Green's function for a generalized situation by putting random matrices on a lattice of arbitrary dimensions.
Cite
@article{arxiv.cond-mat/9504014,
title = {Complex random matrix models with possible applications to spin- impurity scattering in quantum Hall fluids},
author = {S. Hikami and A. Zee},
journal= {arXiv preprint arXiv:cond-mat/9504014},
year = {2009}
}
Comments
20P, (+4 figures not included)