Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions

Hajiloo, Fatemeh; Hassler, Fabian; Splettstoesser, Janine

doi:10.1103/physrevb.99.235422

Cited by 15 publications

(14 citation statements)

References 47 publications

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“…( 54) and ( 57), for T > T * and assuming energy-independent dephasing length, the WL correction in the clean case coincides with that in the normal state. This finding resembles that for the WL correction to the heat conductance of superconductor/normal/superconductor junctions with short (shorter than dephasing length) normal part in the absence of phase gradient and gap differences [11]. In that case, the latter two assumptions ensure that the transmission probability of quasiparticles excitations through the junction is independent of energy.…”

Section: Low-temperature Regimesupporting

confidence: 74%

“…Further extensions to this result include the effects of electron-phonon scattering [7,8], strong coupling [9], and paramagnetic impurities [10]. However, to the best of our knowledge, the question of the fate of the weak localization correction to the thermal conductivity in the superconducting state has so far only been addresses for SNS junctions [11] and not for the bulk.…”

Section: Introductionmentioning

confidence: 99%

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Weak localization corrections to the thermal conductivity in s -wave superconductors

2020

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We study the thermal conductivity in disordered s-wave superconductors. Expanding on previous works for normal metals, we develop a formalism that tackles particle diffusion as well as the weak localization (WL) and weak anti-localization (WAL) effects. Using a Green's functions diagrammatic technique, which takes into account the superconducting nature of the system by working in Nambu space, we identify the system's low-energy modes, the diffuson and the Cooperon. The time scales that characterize the diffusive regime are energy dependent; this is in contrast with the the normal state, where the relevant time scale is the mean free time τe, independent of energy. The energy dependence introduces a novel energy scale ε * , which in disordered superconductors (τe∆ 1, with ∆ the gap) is given by ε * = ∆/τe. From the diffusive behavior of the low-energy modes, we obtain the WL correction to the thermal conductivity. We give explicitly expressions in two dimensions. We determine the regimes in which the correction depends explicitly on ε * and propose an optimal regime to verify our results in an experiment.

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Section: Low-temperature Regimesupporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Weak localization corrections to the thermal conductivity in s -wave superconductors

2020

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“…(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: 98%

Phase-coherent heat circulators with normal- or superconducting contacts

Acciai,

Hajiloo,

Hassler

et al. 2020

Preprint

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We investigate heat circulators where a phase coherent region is contacted by three leads that are either normal-or superconducting. A magnetic field, and potentially the superconducting phases, allow to control the preferential direction of the heat flow between the three-different temperaturebiased contacts. The main goal of this study is to analyze the requirements for heat circulation in non-ideal devices, in particular focusing on sample-to-sample variations. Quite generally, we find that the circulation performance of the devices is good as long as only a few transport channels are involved. We compare the performance of circulators with normalconducting contacts to those with superconducting contacts and find that the circulation coefficient are essentially unchanged.

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“…[72][73][74][75]. The application of thermal gradients to Josephson junctions has also suggested unique technologies [62,[76][77][78][79][80][81][82][83], showing that the peculiar properties of TJJs could also play an important role in this perspective [19,22,[84][85][86][87][88].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal thermoelectric engines in hybrid topological Josephson junctions

et al. 2021

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The thermoelectric performance of a topological Josephson nonlocal heat engine is thoroughly investigated. The nonlocal response is obtained by using a normal metal probe coupled to only one of the proximized helical edges in the middle of the junction. In this configuration, we investigate how the flux and phase biases trigger the nonlocal thermoelectric effects under the application of a thermal difference between the superconducting terminals. Possible experimental nonidealities such as asymmetric proximized superconducting gaps are considered, showing how the nonlocal response can be affected. The interplay between Doppler shift, which tends to close gaps, and Andreev interferometry, which affects particle-hole resonant transport, are clearly identified for different operating regimes. Finally, we discuss the power and the efficiency of the topological thermoelectric engine which reaches maximum power at maximal efficiency for a well-coupled normal probe. We find quite high nonlocal Seebeck coefficients of the order of tenths of μV/K at a few Kelvin, a signal that would also be clearly detectable against any spurious local effects even with moderate asymmetry of the gaps.

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Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions

Cited by 15 publications

References 47 publications

Weak localization corrections to the thermal conductivity in s -wave superconductors

Weak localization corrections to the thermal conductivity in s -wave superconductors

Phase-coherent heat circulators with normal- or superconducting contacts

Nonlocal thermoelectric engines in hybrid topological Josephson junctions

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