Title
Electron-hole symmetry and solutions of Richardson pairing modelElectron-hole symmetry and solutions of Richardson pairing model
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Condensed Matter Theory
Publication type
article
Publication
Berlin,
Subject
Physics
Source (journal)
European physical journal : B : condensed matter and complex systems. - Berlin
Volume/pages
86(2013):5, p. 1-6
ISSN
1434-6028
Article Reference
235
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Richardson approach provides an exact solution of the pairing Hamiltonian. This Hamiltonian is characterized by the electron-hole pairing symmetry, which is however hidden in Richardson equations. By analyzing this symmetry and using an additional conjecture, fulfilled in solvable limits, we suggest a simple expression of the ground state energy for an equally-spaced energy-level model, which is applicable along the whole crossover from the superconducting state to the pairing fluctuation regime. Solving Richardson equations numerically, we demonstrate a good accuracy of our expression.
E-info
https://repository.uantwerpen.be/docman/iruaauth/17ee46/cd55510.pdf
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