Generalized random matrix model with additional interactions

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 . The equilibrium density is computed by numerically solving the Riemann-Hilbert problem associated with the ensemble. The effect of the additional...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2020-01, Vol.53 (1), p.15001
Main Authors: Yadav, Swapnil, Alam, Kazi, Muttalib, K A, Wang, Dong
Format: Article
Language:English
Subjects:
random matrix ensembles
Riemann-Hilbert problem
transport in disordered conductors
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Summary: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 . The equilibrium density is computed by numerically solving the Riemann-Hilbert problem associated with the ensemble. The effect of the additional parameter associated with the two-body interaction can be understood in terms of an effective -dependent single-particle confining potential.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab56e0