Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/20752
Autoria: | Santilli, L. Tierz, M. |
Data: | 2020 |
Título próprio: | Exact equivalences and phase discrepancies between random matrix ensembles |
Volume: | 2020 |
Número: | 8 |
ISSN: | 1742-5468 |
DOI (Digital Object Identifier): | 10.1088/1742-5468/aba594 |
Palavras-chave: | Matrix models Random matrix theory and extensions Dimers Quantum phase transitions |
Resumo: | 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. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Exact equivalences_postprint.pdf | Versão Aceite | 1,07 MB | Adobe PDF | Ver/Abrir |
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