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We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

Wires made of topological insulators (TI) are a promising platform for searching for Majorana bound states. These states can be probed by analyzing the fractional ac Josephson effect in Josephson junctions with the TI wire as a weak link.…

Inducing superconducting correlations in quantum anomalous Hall (QAH) states offers a promising route to realize topological superconductivity with chiral Majorana edge modes. However, the definitive identification of these modes is…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Linghao Huang , Dongheng Qian , Jing Wang

Josephson junctions made of conventional superconductors display Fraunhofer-like oscillations of the critical current as a function of the threaded magnetic flux. When the superconductors are deposited on the surface of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Omri Lesser , Joon Young Park , Yuval Ronen , Thomas Werkmeister , Philip Kim , Yuval Oreg

The influence of chiral molecular potentials on phase-coherent transport in superconducting Josephson junctions is investigated. Within a Bogoliubov-de Gennes tight-binding framework, an SNS junction functionalized by adsorbed chiral…

We discuss the Josephson effect and the appearance of dissipationless edge currents in a holographic Josephson junction configuration involving a chiral, time-reversal breaking, superconductor in 2+1 dimensions. Such a superconductor is…

High Energy Physics - Theory · Physics 2015-06-17 Moshe Rozali , Alexandre Vincart-Emard

The quantum Hall (QH) effect supports a set of chiral edge states at the boundary of a 2-dimensional electron gas (2DEG) system. A superconductor (SC) contacting these states induces correlation of the quasi-particles in the dissipationless…

Mesoscale and Nanoscale Physics · Physics 2017-05-12 Gil-Ho Lee , Ko-Fan Huang , Dmitri K. Efetov , Di S. Wei , Sean Hart , Takashi Taniguchi , Kenji Watanabe , Amir Yacoby , Philip Kim

We study Josephson junctions made of semiconducting nanowires with Rashba spin-orbit coupling, where superconducting correlations are induced by the proximity effect. In the presence of a suitably directed magnetic field, the system…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Konstantin N. Nesterov , Manuel Houzet , Julia S. Meyer

The Josephson effect describes supercurrent flowing through a junction connecting two superconducting leads by a thin barrier [1]. This current is driven by a superconducting phase difference $\phi$ between the leads. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 D. B. Szombati , S. Nadj-Perge , D. Car , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

Superconducting quantum circuits derive their nonlinearity from the Josephson energy-phase relation. Besides the fundamental $\cos\phi$ term, this relation can also contain higher Fourier harmonics $\cos(k\phi)$ corresponding to correlated…

We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 Shao-Kai Jian , Shuai Yin

Despite the robustness of the chiral edge modes of quantum Hall systems against the superconducting proximity effect, Cooper pairs can penetrate into the chiral edge channels and carry the Josephson current in an appropriate setup. In our…

Superconductivity · Physics 2021-05-26 Ryota Nakai , Kentaro Nomura , Yukio Tanaka

Superconducting circuits incorporating Josephson tunnel junctions are widely used for fundamental research as well as for applications in fields such as quantum information and magnetometry. The quantum coherent nature of Josephson…

Mesoscale and Nanoscale Physics · Physics 2021-11-04 L. Peyruchat , J. Griesmar , J. -D. Pillet , Ç. Ö. Girit

Full-shell nanowires (a semiconducting core fully wrapped by an epitaxial superconducting shell) have recently been introduced as promising hybrid quantum devices. Despite this, however, their properties when forming a Josephson junction…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 G. Giavaras , R. Aguado

Interfacial spin-orbit coupling in Josephson junctions offers an intriguing way to combine anomalous Hall and Josephson physics in a single device. We study theoretically how the superposition of both effects impacts…

Superconductivity · Physics 2020-03-18 Andreas Costa , Jaroslav Fabian

We study the transport properties of a superconductor-quantum spin Hall insulator-superconductor (S-QSHI-S) hybrid system in the presence of a microwave radiation. Instead of adiabatic analysis or using the resistively shunted junction…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Yu-Hang Li , Jie Liu , Juntao Song , Hua Jiang , Qing-Feng Sun , X. C. Xie

Magnetic order typically disrupts superconductivity, reducing the supercurrent. Here, we show that chiral antiferromagnetism, with non-relativistic spin-split bands and distinctive valley-locked spin texture, can instead significantly…

Superconductivity · Physics 2026-02-26 Jin-Xing Hou , Hai-Peng Sun , Björn Trauzettel , Song-Bo Zhang

This review discusses the electronic properties and the prospective research directions of superconductor-graphene heterostructures. The basic electronic properties of graphene are introduced to highlight the unique possibility of combining…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Gil-Ho Lee , Hu-Jong Lee

We study the transport properties of a voltage-biased Josephson junction where the BCS superconducting leads are coupled via the edges of a quantum Hall sample. In this scenario, an out of equilibrium Josephson current develops, which is…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro