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Volume 21, Issue 3
Influence of Finite Size Effects on the Fulde-Ferrell-Larkin-Ovchinnikov State

Andrzej Ptok & Dawid Crivelli

Commun. Comput. Phys., 21 (2017), pp. 748-762.

Published online: 2018-04

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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 calculations 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.

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@Article{CiCP-21-748, author = {Andrzej Ptok and Dawid Crivelli}, title = {Influence of Finite Size Effects on the Fulde-Ferrell-Larkin-Ovchinnikov State}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {3}, pages = {748--762}, 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 calculations 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0041}, url = {http://global-sci.org/intro/article_detail/cicp/11258.html} }
TY - JOUR T1 - Influence of Finite Size Effects on the Fulde-Ferrell-Larkin-Ovchinnikov State AU - Andrzej Ptok & Dawid Crivelli JO - Communications in Computational Physics VL - 3 SP - 748 EP - 762 PY - 2018 DA - 2018/04 SN - 21 DO - http://doi.org/10.4208/cicp.OA-2016-0041 UR - https://global-sci.org/intro/article_detail/cicp/11258.html KW - AB -

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 calculations 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.

Andrzej Ptok and Dawid Crivelli. (2018). Influence of Finite Size Effects on the Fulde-Ferrell-Larkin-Ovchinnikov State. Communications in Computational Physics. 21 (3). 748-762. doi:10.4208/cicp.OA-2016-0041
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