10.1088/1751-8121/ab56e0

Generalized random matrix model with additional interactions

Abstract

We introduce a log-gas model that is a generalization of a random matrix ensemble with an additional interaction, whose strength depends on a parameter $\gamma$. The equilibrium density is computed by numerically solving the Riemann-Hilbert problem associated with the ensemble. The effect of the additional parameter $\gamma$ associated with the two-body interaction can be understood in terms of an effective $\gamma$-dependent single-particle confining potential.Comment: 16 pages, 12 figure

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This paper was published in arXiv.org e-Print Archive.

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