Josephson currents in quantum Hall devices

Stone, Michael; Lin, Yiruo

doi:10.1103/physrevb.83.224501

Cited by 28 publications

(20 citation statements)

References 22 publications

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“…However, the canting angle θ can be readily extracted from the critical current, since J c ∝ cos 2 (θ ). We also note that the relevant length scale for the suppression of supercurrent is the perimeter of the sample, as expected for chiral edge mediated transport [1,12,13].…”

Section: B Josephson Supercurrentsupporting

confidence: 54%

Majorana fermions on the quantum Hall edge

Gavensky

Usaj

Balseiro

2020

Phys. Rev. Research

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Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this work, we study a Josephson junction where a central region in the quantum Hall regime is proximitized with superconductors that can be driven to a topological phase with an external Zeeman field. In this regime, the Majorana modes that emerge at the ends of each superconducting lead couple to the chiral quantum Hall edge states. This produces distinguishable features in the Andreev levels and Fraunhofer patterns that could help in detecting not only the topological phase transition but also the spin degree of freedom of these exotic quasiparticles. The current phase relation and the spectral properties of the junction throughout the topological transition are fully described by a numerical tight-binding calculation. In pursuance of the understanding of these results, we develop a low-energy spinful model that captures the main features of the numerical transport simulations in the topological phase.

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Section: B Josephson Supercurrentsupporting

confidence: 54%

Majorana fermions on the quantum Hall edge

Gavensky

Usaj

Balseiro

2020

Phys. Rev. Research

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“…Such a supercurrent would have to be carried by edge states, so that the time reversed electrons injected from the superconductor would be injected into the edge states at the opposite edges of the sample. Only few authors have considered this scenario theoretically 17,18 . They have shown that in principle such a proximity ef- fect is possible in the integer quantum Hall regime, with a maximal critical current given by the ballistic limit of ev d /L, where L is the perimeter of the sample and v d the drift velocity.…”

Section: Proximity Effect In the Integer Quantum Hall Regimementioning

confidence: 99%

Superconducting proximity effect in long superconductor/graphene/superconductor junctions: From specular Andreev reflection at zero field to the quantum Hall regime

et al. 2012

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We investigate the superconducting proximity effect through graphene in the long diffusive junction limit, at low and high magnetic field. The interface quality and sample phase coherence lead to a zero resistance state at low temperature, zero magnetic field, and high doping. We find a striking suppression of the critical current near graphene's charge neutrality point, which we attribute to specular reflexion of Andreev pairs at the interface of charge puddles. This type of reflexion, specific to the Dirac band structure, had up to now remained elusive. At high magnetic field the use of superconducting electrodes with high critical field enables the investigation of the proximity effect in the Quantum Hall regime. Although the supercurrent is not directly detectable in our two wire configuration, interference effects are visible which may be attributed to the injection of Cooper pairs into edge states.

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“…Superconducting leads connected to the edge modes may induce the proximity effect. Interestingly, the Andreev reflection phenomena [6,7] and the supercurrent in chiral channels [8][9][10] have been thoroughly investigated. Notably, it was shown that the supercurrent carried by a chiral channel requires the closing of the channel and is inversely proportional to the full perimeter of the QH sample.…”

Section: Supercurrents In Unidirectional Channels Originate From Infomentioning

confidence: 99%

Supercurrents in Unidirectional Channels Originate from Information Transfer in the Opposite Direction: A Theoretical Prediction

Huang

Nazarov

2017

Phys. Rev. Lett.

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It has been thought that the long chiral edge channels cannot support any supercurrent between the superconducting electrodes. We show theoretically that the supercurrent can be mediated by a non-local interaction that facilitates a long-distance information transfer in the direction opposite to electron flow. We compute the supercurrent for several interaction models, including that of an external circuit.

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Josephson currents in quantum Hall devices

Cited by 28 publications

References 22 publications

Majorana fermions on the quantum Hall edge

Majorana fermions on the quantum Hall edge

Superconducting proximity effect in long superconductor/graphene/superconductor junctions: From specular Andreev reflection at zero field to the quantum Hall regime

Supercurrents in Unidirectional Channels Originate from Information Transfer in the Opposite Direction: A Theoretical Prediction

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