2015
DOI: 10.1063/1.4914077
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Fluctuation of heat current in Josephson junctions

Abstract: We discuss the statistics of heat current between two superconductors at different temperatures connected by a generic weak link. As the electronic heat in superconductors is carried by Bogoliubov quasiparticles, the heat transport fluctuations follow the Levitov-Lesovik relation. We identify the energy-dependent quasiparticle transmission probabilities and discuss the resulting probability density and fluctuation relations of the heat current. We consider multichannel junctions, and find that heat transport i… Show more

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Cited by 8 publications
(10 citation statements)
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“…The transmission probability D e n of channel n is the sum of the transmission probabilities from electron-and hole-like quasiparticles into an electron-like quasiparticle channel, D e n = D ee n + D eh n . We find the transmission probability for arbitrary gaps ∆ L and ∆ R to be given by 20,23…”
Section: Model and Approachmentioning
confidence: 99%
“…The transmission probability D e n of channel n is the sum of the transmission probabilities from electron-and hole-like quasiparticles into an electron-like quasiparticle channel, D e n = D ee n + D eh n . We find the transmission probability for arbitrary gaps ∆ L and ∆ R to be given by 20,23…”
Section: Model and Approachmentioning
confidence: 99%
“…Theoretically, phase-dependent heat transport has been investigated in ferromagnetic Josephson junctions [21,22] as well as for ac-driven systems [23]. Furthermore, the fluctuations of phase-dependent heat currents [24] and their influence on the dephasing of flux qubits [25] have been studied. In this Rapid Communication, we demonstrate that phase-dependent heat currents provide a robust tool to probe the existence of topological Andreev bound states in S-TI-S Josephson junctions as well as to distinguish them from trivial 4π periodic Andreev bound states.…”
mentioning
confidence: 99%
“…(3) We further investigate how realistic limitations can impact this ideal setting and analyze in detail the statistics of the circulating coefficient and its constituents. Previously, it has been shown how disorder can suppress phase-coherent control of heat flows [54,55]. Here, we analyze the role of sample-to-sample variation of onsite energies and coupling constants in the three-sites structure and in the modified ones in Fig.…”
Section: Introductionmentioning
confidence: 99%