Russo, J. G. (Jorge Guillermo)2021-07-212021-07-212020-11-051126-6708https://hdl.handle.net/2445/179276We 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 N third-order phase transition.15 p.application/pdfengcc-by (c) Russo, J. G. (Jorge Guillermo) , 2020https://creativecommons.org/licenses/by/4.0/Química quànticaQuantum chemistryDeformed Cauchy random matrix ensembles and large $N$ phase transitionsinfo:eu-repo/semantics/article7057122021-07-21info:eu-repo/semantics/openAccess