Thermoelectric effect in superconducting alloys

Дигор, Думитру Ф; Kon, L.Z.

doi:10.1007/bf01014806

Cited by 2 publications

(3 citation statements)

References 16 publications

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“…We should note that a similar strong enhancement of the thermoelectric coefficient in the presence of magnetic impurities was theoretically predicted in Ref. [30,31]. However, the authors of Refs.…”

Section: Thermoelectric Effectsupporting

confidence: 80%

“…However, the authors of Refs. [30,31] did not relate the revealed giant thermoeffect to the manifestation of the 2 1 2 phase transition. They specified that this phenomenon is caused by violation of the symmetry between electron-like and hole-like excitations due to formation of the subgap Andreev bound states in the vicinity of magnetic impurities [31].…”

Section: Thermoelectric Effectmentioning

confidence: 83%

“…Although different assumptions have been used in Refs. [30] and [31] for the calculation of the thermoelectric coefficient the effect of its enhancement remain the same on the qualitative level.…”

Section: Thermoelectric Effectmentioning

confidence: 93%

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Topological phase transition between the gap and the gapless superconductors

2022

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It is demonstrated that the known for a long time transition between the gap and the gapless states in the Abrikosov-Gor’kov theory of a superconductor with paramagnetic impurities is of the Lifshitz type, i.e. of the 2\frac12212 order phase transition. We reveal the emergence of a cuspidal edge at the density of states surface N(\omega,\Delta_0)N(ω,Δ0) (\Delta_0Δ0 is the value of the superconducting order parameter in the absence of magnetic impurities) and the occurrence of the catastrophe phenomenon at the transition point. We study the stability of such a transition with respect to the spatial fluctuations of the magnetic impurities critical concentration n_sns and show that the requirement for validity of its mean field description is unobtrusive: \nabla \left( {\ln{n_s}} \right) \ll \xi^{-1}∇(lnns)≪ξ−1 (here \xiξ is the superconducting coherence length). Finally, we show that, similarly to the Lifshitz transition, the transition between gap and gapless states should be accompanied by the corresponding singularities. For instance, the superconducting thermoelectric effect has a giant peak exceeding the normal value of the Seebeck coefficient by the ratio of the Fermi energy and the superconducting gap. The concept of the experiment for the confirmation of 2\frac12212 order transition nature is proposed. The obtained theoretical results can be applied for the explanation of recent experiments with lightwave-driven gapless superconductivity, for the new interpretation of the disorder induced transition s_{\pm}s±-s_{++}s++ states via gapless state in multi-band superconductors, for better understanding of the gapless color superconductivity in quantum chromodynamics, the string theory.

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Section: Thermoelectric Effectsupporting

confidence: 80%

Section: Thermoelectric Effectmentioning

confidence: 83%

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Topological phase transition between the gap and the gapless superconductors

2022

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Theory of thermoelectric phenomena in superconductors

et al. 2002

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The theory of thermoelectric effects in superconductors is discussed in connection to the recent publication by Marinescu and Overhauser [Phys. Rev. B 55, 11637 (1997)]. We argue that the charge non-conservation arguments by Marinescu and Overhauser do not require any revision of the Boltzmann transport equation in superconductors. We show that the charge current proportional to the gradient of the gap, |∆| found by Marinescu and Overhauser, is incompatible with the time-reversal symmetry, and conclude that their "electronconserving transport theory" is invalid. Possible mechanisms responsible for the discrepancy between some experimental data and the theory by Galperin, Gurevich, and Kozub Pis'ma Zh. Eksp. Teor. Fiz. 17, 689 (73) [JETP Lett. 17, 476 (1973)] are discussed.

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Thermoelectric effect in superconducting alloys

Cited by 2 publications

References 16 publications

Topological phase transition between the gap and the gapless superconductors

Topological phase transition between the gap and the gapless superconductors

Theory of thermoelectric phenomena in superconductors

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