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A nonstationary anomalous Hall current is calculated for a voltage biased Josephson junction, which is composed of two s-wave superconducting contacts deposited on the top of a three dimensional topological insulator (TI). A homogeneous…

Superconductivity · Physics 2019-07-24 A. G. Mal'shukov

We study the Josephson effect in spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor junctions using the nonequilibrium Green function method. The current-phase difference relations show strong…

Superconductivity · Physics 2021-10-27 Qiang Cheng , Qing Yan , Qing-Feng Sun

The simultaneous breaking of time-reversal and inversion symmetry, in connection to superconductivity, leads to transport properties with disrupting scientific and technological potential. Indeed, the anomalous Josephson effect and the…

We study the effect of a magnetic field on the current-phase relation of a topological Josephson junction formed by connecting two superconductors through the helical edge states of a quantum spin-Hall insulator. We predict that the Zeeman…

Mesoscale and Nanoscale Physics · Physics 2015-07-27 Fabrizio Dolcini , Manuel Houzet , Julia S. Meyer

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

Robust and tunable topological Josephson junctions (TJJs) are highly desirable platforms for investigating the anomalous Josephson effect and topological quantum computation applications. Experimental demonstrations have been done in hybrid…

Mesoscale and Nanoscale Physics · Physics 2023-09-04 Gianmichele Blasi , Géraldine Haack , Vittorio Giovannetti , Fabio Taddei , Alessandro Braggio

We study the Josephson effect in a quantum spin Hall system coupled to a localized magnetic impurity. As a consequence of the fermion parity anomaly, the spin of the combined system of impurity and spin-Hall edge alternates between…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Yang Peng , Yuval Vinkler-Aviv , Piet W. Brouwer , Leonid I. Glazman , Felix von Oppen

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

We perform switching current measurements of planar Josephson junctions (JJs) coupled by a common superconducting electrode, with independent control over the two superconducting phase differences. We observe an anomalous phase shift in the…

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

Josephson junctions based on quantum dots offer a convenient tunability by means of local gates. Here we analyze a Josephson junction based on a serial double quantum dot in which the two dots are individually gated by phase-shifted…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Carlos Ortega-Taberner , Antti-Pekka Jauho , Jens Paaske

In Josephson diodes the asymmetry between positive and negative current branch of the current-phase relation leads to a polarity-dependent critical current and Josephson inductance. The supercurrent nonreciprocity can be described as a…

The transmission of Cooper pairs between two weakly coupled superconductors produces a superfluid current and a phase difference; the celebrated Josephson effect. Because of time-reversal and parity symmetries, there is no Josephson current…

In a standard Josephson junction the current is zero when the phase difference between the superconducting leads is zero. This condition is protected by parity and time-reversal symmetries. However, the combined presence of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-01-14 William Mayer , Matthieu C. Dartiailh , Joseph Yuan , Kaushini S. Wickramasinghe , Enrico Rossi , Javad Shabani

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

Atomtronics has the potential for engineering new types of functional devices, such as Josephson junctions (JJs). Previous studies have mainly focused on JJs whose ground states have 0 or $\pi $ superconducting phase difference across the…

Quantum Gases · Physics 2016-10-19 Lei Jiang , Yong Xu , Chuanwei Zhang

We investigate Josephson junctions among conventional superconducting wires, in the presence of externally applied Zeeman fields and supercurrents. We demonstrate that the critical Josephson current and the current-phase relation of the…

Superconductivity · Physics 2022-08-02 Giorgos Livanas

A quantum spin Hall strip where different edges are contacted by $s$-wave superconductors with a phase difference $\phi$ supports Majorana bound states protected by time-reversal symmetry. We study signatures of these states in a…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Xue Yang , Pablo Burset , Bo Lu

The simultaneous breaking of time-reversal and inversion symmetry can lead to peculiar effects in Josephson junctions, such as the anomalous Josephson effect or supercurrent rectification, which is a dissipationless analog of the diode…

Surface states of topological insulators feature chiral spin-momentum locking. When such states are used as weak link between two superconductors, their spin texture gives rise to the anomalous Josephson effect, i.e., to a $\varphi_0$ shift…

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