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http://hdl.handle.net/10071/20752
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Title: Exact equivalences and phase discrepancies between random matrix ensembles
Authors: Santilli, L.
Tierz, M.
Keywords: Matrix models
Random matrix theory and extensions
Dimers
Quantum phase transitions
Issue Date: 2020
Publisher: IOP Publishing
Abstract: We study two types of random matrix ensembles that emerge when considering the same probability measure on partitions. One is the Meixner ensemble with a hard wall and the other are two families of unitary matrix models, with weight functions that can be interpreted as characteristic polynomial insertions. We show that the models, while having the same exact evaluation for fixed values of the parameter, may present a different phase structure. We find phase transitions of the second and third order, depending on the model. Other relationships, via direct mapping, between the unitary matrix models and continuous random matrix ensembles on the real line, of Cauchy-Romanovski type, are presented and studied both exactly and asymptotically. The case of orthogonal and symplectic groups is studied as well and related to Wronskians of Chebyshev polynomials, that we evaluate at largeN.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/20752
DOI: 10.1088/1742-5468/aba594
ISSN: 1742-5468
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-74049
Accession number: WOS:000563179200001
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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