Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands

Gresta, Daniel; Blasi, Gianmichele; Taddei, F.; Carrega, Matteo; Braggio, Alessandro; Arrachea, Liliana

doi:10.1103/physrevb.103.075439

Cited by 15 publications

(15 citation statements)

References 65 publications

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“…The actual phase diagrams depend sensitively on whether or not the phase parity is enforced, and thus the device could actually be used as a diagnostics tool for the presence of 4πperiodicity in Josephson junctions. Indeed, the proposal by Scharf et al 370 has already attracted follow up work in the design of engines 372,373 , and in quantum metrology and sensing [374][375][376] .…”

Section: Topological Josephson Heat Enginementioning

confidence: 99%

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Myers,

Abah,

Deffner

2022

Preprint

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Section: Topological Josephson Heat Enginementioning

confidence: 99%

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Myers,

Abah,

Deffner

2022

Preprint

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“…In the second part of the work we answer this question, deriving and analyzing a linearized low-energy model which can be analytically solved. This allows us to interpret and discuss the physics observed in the first part in terms of Goldstone-Wilczek charges [54,[56][57][58][59][60][61][62][63]. Finally, to elucidate the interplay between the different kinds of bound states, and to possibly discriminate between them, we evaluate the Majorana polarization [64][65][66] associated to the boundary states.…”

Section: Introductionmentioning

confidence: 99%

Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm

Vigliotti,

Cavaliere,

Carrega

et al. 2022

Preprint

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Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in such systems. We here study a model in which both Majorana and Tamm bound states compete. We show both numerically and analytically that, surprisingly, the Tamm state remains partially localized even when the spectrum becomes gapless. Despite this fact, we demonstrate that the Majorana polarization shows a clear transition between the two regimes.

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“…They as well as odd-frequency pairing [12][13][14] and Majorana zero modes [15][16][17][18] that can emerge in topological superconductors have therefore been the focus of intense research during the past decade. Proposals to realize topological superconductivity often combine s-wave superconductivity, magnetism, and materials with strong spin-orbit coupling [19][20][21][22][23], which makes the field of spintronics [24,25] also relevant in this context.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics in topological Josephson junctions

Scharf,

Braggio,

Strambini

et al. 2021

Preprint

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We study the thermodynamic properties of topological Josephson junctions using a quantum spin Hall (QSH) insulator-based junction as an example. In particular, we propose that phase-dependent measurements of the heat capacity offer an alternative to Josephson-current measurements to demonstrate key topological features. Even in an equilibrium situation, where the fermion parity is not conserved, the heat capacity exhibits a pronounced double peak in its phase dependence as a signature of the protected zero-energy crossing in the Andreev spectrum. This double-peak feature is robust against changes of the tunneling barrier and thus allows one to distinguish between topological and trivial junctions. At short time scales fermion parity is conserved and the heat capacity is 4π-periodic in the superconducting phase difference. We propose a dispersive setup coupling the Josephson junction to a tank LC circuit to measure the heat capacity of the QSH-based Josephson junction sufficiently fast to detect the 4π-periodicity. Although explicitly calculated for a short QSH-based Josephson junction, our results are also applicable to long as well as nanowire-based topological Josephson junctions.

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Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands

Cited by 15 publications

References 65 publications

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Quantum thermodynamic devices: from theoretical proposals to experimental reality

Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm

Thermodynamics in topological Josephson junctions

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