Complex random matrix models with possible applications to spin- impurity scattering in quantum Hall fluids

S. Hikami; A. Zee

doi:10.1016/0550-3213(95)00269-x

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Complex random matrix models with possible applications to spin- impurity scattering in quantum Hall fluids

S. Hikami·A. Zee

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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.

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S. Hikami, A. Zee. 1995-04-05. Complex random matrix models with possible applications to spin- impurity scattering in quantum Hall fluids. https://doi.org/10.1016/0550-3213(95)00269-x

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