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      Thermodynamic cycles in Josephson junctions

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          Abstract

          A superconductor/normal metal/superconductor Josephson junction is a coherent electron system where the thermodynamic entropy depends on temperature and difference of phase across the weak-link. Here, exploiting the phase-temperature thermodynamic diagram of a thermally isolated system, we argue that a cooling effect can be achieved when the phase drop across the junction is brought from 0 to π in a iso- entropic process. We show that iso- entropic cooling can be enhanced with proper choice of geometrical and electrical parameters of the junction, i.e. by increasing the ratio between supercurrent and total junction volume. We present extensive numerical calculations using quasi-classical Green function methods for a short junction and we compare them with analytical results. Interestingly, we demonstrate that phase-coherent thermodynamic cycles can be implemented by combining iso- entropic and iso- phasic processes acting on the weak-link, thereby engineering the coherent version of thermal machines such as engines and cooling systems. We therefore evaluate their performances and the minimum temperature achievable in a cooling cycle.

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          Most cited references67

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          Superconducting weak links

          K Likharev (1979)
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            Generalized Diffusion Equation for Superconducting Alloys

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              Transformation of Gorkov's equation for type II superconductors into transport-like equations

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                Author and article information

                Contributors
                francesco.vischi@df.unipi.it
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                1 March 2019
                1 March 2019
                2019
                : 9
                : 3238
                Affiliations
                [1 ]GRID grid.6093.c, NEST, , Istituto Nanoscienze-CNR and Scuola Normale Superiore, ; I-56127 Pisa, Italy
                [2 ]ISNI 0000 0004 1757 3729, GRID grid.5395.a, Dipartimento di Fisica, , Università di Pisa, ; I-56127 Pisa, Italy
                Article
                40202
                10.1038/s41598-019-40202-8
                6397278
                30824818
                40c0f510-3275-4c27-ac1a-8005dfc767b9
                © The Author(s) 2019

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 15 June 2018
                : 19 November 2018
                Funding
                Funded by: FundRef https://doi.org/10.13039/501100004963, EC | Seventh Framework Programme (EC Seventh Framework Programme);
                Award ID: 615187-COMANCHE
                Award ID: 615187-COMANCHE
                Award ID: 615187-COMANCHE
                Award ID: 615187-COMANCHE
                Award ID: 615187-COMANCHE
                Award Recipient :
                Funded by: CNR-CONICET cooperation programme ``Energy conversion in quantum, nanoscale, hybrid devices'
                Funded by: 1. CNR-CONICET cooperation programme ``Energy conversion in quantum, nanoscale, hybrid devices' 2.
                Funded by: Tuscany Region under the FARFAS 2014 project SCIADRO
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                © The Author(s) 2019

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