Complex Random Matrix Models with Possible Applications to Spin-impurity Scattering in Quantum Hall Fluids
نویسندگان
چکیده
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 model 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 onepoint Green’s function for a generalized situation by putting random matrices on a lattice of arbitrary dimensions.
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تاریخ انتشار 1995