Classification of the pairing transition in finite fermionic systems
Superconductivity
2007-05-23 v1 Nuclear Experiment
Nuclear Theory
Quantum Physics
Abstract
In this work we employ a simple pairing interaction model in order to study and classify an eventual pairing phase transition in finite fermionic systems. We show that systems with as few as 10-16 fermions can exhibit clear features reminiscent of a phase transition. To classify the nature of the transition we apply two different numerical methods, one based on standard thermodymanics, and another based on a recently proposed scheme by Borrmann et al. [Phys. Rev. Lett. 84, 3511 (2000)]. The transition is shown to be of second order, in agreement with results for infinite fermionic systems.
Cite
@article{arxiv.cond-mat/0104138,
title = {Classification of the pairing transition in finite fermionic systems},
author = {A. Belic and D. J. Dean and M. Hjorth-Jensen},
journal= {arXiv preprint arXiv:cond-mat/0104138},
year = {2007}
}
Comments
7 pages, 2 figs included