Investigation of Supercurrent in the Quantum Hall Regime in Graphene Josephson Junctions

Draelos, Anne; Wei, Ming; Seredinski, Andrew; Ke, Chung-Ting; Mehta, Yash; Chamberlain, Russell; Watanabe, Kenji; Taniguchi, Takashi; Yamamoto, Mahito; Tarucha, Seigo; Borzenets, Ivan; Amet, François; Finkelstein, Gleb

doi:10.1007/s10909-018-1872-9

Cited by 20 publications

(22 citation statements)

References 31 publications

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“…We note that recently there have been numerous experiments exploring the interface of graphene with superconductors, in the presence of real magnetic fields [37][38][39][40][41][42][43]. We discussed a possible experimental realization of a pseudo-magnetic field in a strained membrane that would allow one to probe the predicted edge states.…”

Section: Discussionmentioning

confidence: 99%

Helical superconducting edge modes from pseudo-Landau levels in graphene

Sabsovich,

Bockrath,

Shtengel

et al. 2020

Preprint

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We explore Andreev states at the interface of graphene and a superconductor for a uniform pseudomagnetic field. Near the zeroth-pseudo Landau level, we find a topological transition as a function of applied Zeeman field, at which a gapless helical mode appears. This 1D mode is protected from backscattering as long as intervalley-and spin-flip scattering are suppressed. We discuss a possible experimental platform to detect this gapless mode based on strained suspended membranes on a superconductor, in which dynamical strain causes charge pumping.

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Section: Discussionmentioning

confidence: 99%

Helical superconducting edge modes from pseudo-Landau levels in graphene

Sabsovich,

Bockrath,

Shtengel

et al. 2020

Preprint

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“…119 Signatures of proximity-induced superconductivity in quantum Hall edge states were studied in a series of recent works. 116,[120][121][122][123][124] Finally, it is worth noting that the above setups have also raised significant interest due to their possible generalization to the regime of strong electron-electron interactions, where even more exotic bound states are predicted to emerge. In particular, if the TI (quantum Hall) edge states are replaced by fractional TI (quan-tum Hall) edge states, domain walls between competing gap-opening mechanisms are theoretically predicted to host exotic parafermion bound states.…”

Section: B Mbss At Domain Walls In 2d Tismentioning

confidence: 99%

Majorana bound states in semiconducting nanostructures

Laubscher,

Klinovaja

2021

Preprint

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In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain toy model in order to introduce some of the basic properties of MBSs before proceeding to describe more experimentally relevant platforms. Here, our focus lies on simple 'minimal' models where the Majorana wave functions can be obtained explicitly by standard methods. In a first part, we review the paradigmatic model of a Rashba nanowire with strong spin-orbit interaction (SOI) placed in a magnetic field and proximitized by a conventional s-wave superconductor. We identify the topological phase transition separating the trivial phase from the topological phase and demonstrate how the explicit Majorana wave functions can be obtained in the limit of strong SOI. In a second part, we discuss MBSs engineered from proximitized edge states of two-dimensional (2D) topological insulators. We introduce the Jackiw-Rebbi mechanism leading to the emergence of bound states at mass domain walls and show how this mechanism can be exploited to construct MBSs. Due to their recent interest, we also include a discussion of Majorana corner states in 2D second-order topological superconductors. This Tutorial is mainly aimed at graduate students-both theorists and experimentalists-seeking to familiarize themselves with some of the basic concepts in the field.

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“…Heterostructures of graphene and hexagonal boron nitride (BN) with 1D superconducting contacts ( 10 ) can demonstrate a remarkable contact transparency, allowing us to observe supercurrent in the QH regime ( 11 ). However, the microscopic details of the supercurrent in the QH regime remain an open subject ( 17 ). In particular, the nature of the superconducting coupling to the edge states could depend, e.g., on the vacuum edges of the graphene mesa, the drift velocity of the QH edge states, or the presence of incompressible strips.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hall–based superconducting interference device

et al. 2019

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We present a study of a graphene-based Josephson junction with dedicated side gates carved from the same sheet of graphene as the junction itself. These side gates are highly efficient and allow us to modulate carrier density along either edge of the junction in a wide range. In particular, in magnetic fields in the 1- to 2-T range, we are able to populate the next Landau level, resulting in Hall plateaus with conductance that differs from the bulk filling factor. When counter-propagating quantum Hall edge states are introduced along either edge, we observe a supercurrent localized along that edge of the junction. Here, we study these supercurrents as a function of magnetic field and carrier density.

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Investigation of Supercurrent in the Quantum Hall Regime in Graphene Josephson Junctions

Cited by 20 publications

References 31 publications

Helical superconducting edge modes from pseudo-Landau levels in graphene

Helical superconducting edge modes from pseudo-Landau levels in graphene

Majorana bound states in semiconducting nanostructures

Quantum Hall–based superconducting interference device

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