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Influence of Finite Size Effects on the Fulde-Ferrell-Larkin-Ovchinnikov State

Published online by Cambridge University Press:  07 February 2017

Andrzej Ptok  and
Dawid Crivelli
Andrzej Ptok*
Affiliation:
Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-342 Kraków, Poland Institute of Physics, Maria Curie-Skłodowska University, Plac M. Skłodowskiej-Curie 1, 20-031 Lublin, Poland
Dawid Crivelli*
Affiliation:
Institute of Physics, University of Silesia, 40-007 Katowice, Poland Experimentalphysik I, Universität Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany
*
*Corresponding author. Email addresses:aptok@mmj.pl (A. Ptok), dcrivelli@us.edu.pl (D. Crivelli)
*Corresponding author. Email addresses:aptok@mmj.pl (A. Ptok), dcrivelli@us.edu.pl (D. Crivelli)
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Abstract

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is the superconducting phase for which the Cooper pairs have a non-zero total momentum, depending on the splitting of the Fermi surface sheets for electrons with opposite spin. In infinite systems the momentum is a continuous function of the temperature. In this paper, we have shown how the finite size of the system, through the discretized geometry of the Fermi surface, affects the physical properties of the FFLO state by introducing discontinuities in the Cooper pair momentum. Our calculation in an isotropic system show that the superconducting state with two opposite Cooper pair momenta is more stable than state with one momentum also in nano-size systems, where finite size effects play a crucial role.

Keywords

SuperconductivityFFLOfinite sizenumerical instability
Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 3 , March 2017 , pp. 748 - 762
Copyright
Copyright © Global-Science Press 2017 

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