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Título

Integrable Richardson-Gaudin models in mesoscopic physics

AutorDukelsky, Jorge
Palabras claveRichardson-Gaudin models
Pairing interaction.
Hyperbolic models
Rational models
Integrable systems
Fecha de publicación2015
EditorEditura Academiei Române
CitaciónRomanian Journal in Physics 60: 753- 766 (2015)
Resumen© 2015, Editura Academiei Romane. All rights reserved. The exact solution of the SU(2) pairing Hamiltonian with non-degenerate single particle orbits was introduced by Richardson in the early sixties. The exact solution passed almost unnoticed till was recovered in the last decade in an effort to describe the disappearance of superconductivity in ultra-small superconducting grains. Since then it has been extended to several families integrable models, called the RichardsonGaudin (RG) models. In particular, the rational family of integrable RG models has been widely applied to mesoscopic systems like small grains, quantum dots and nuclear systems where finite size effects play an important role. We will first introduce these families of integrable models and then we will describe the first applications of the hyperbolic family to spinless cold fermionic atoms in two dimensional lattices and to heavy nuclei.
Descripción14 pags.; 5 figs.; PACS: 02.30.Ik,24.10.Cn.
Versión del editorhttp://www.nipne.ro/rjp/2015_60_5-6/0753_0766.pdf
URIhttp://hdl.handle.net/10261/128682
DOInull
Identificadoresdoi: null
issn: 1221-146X
Aparece en las colecciones: (CFMAC-IEM) Artículos
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