Deformed Cauchy random matrix ensembles and large phase transitions
arXiv:2006.00672 · doi:10.1007/JHEP11(2020)014
Abstract
We study a new hermitian one-matrix model containing a logarithmic Penner's type term and another term, which can be obtained as a limit from logarithmic terms. For small coupling, the potential has an absolute minimum at the origin, but beyond a certain value of the coupling the potential develops a double well. For a higher critical value of the coupling, the system undergoes a large third-order phase transition.
16 pages, 10 figures
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Cited by in corpus (6)
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- Fermionic Matrix Models and Bosonization
- On the computation of density and two-point correlation functions of a class of random matrix ensembles