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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

We study the Josephson effect in spin-singlet superconductor/helical $p$-wave superconductor junctions with a ferromagnetic barrier using the quasiclassical Green function method. It is found that both $\sin{\phi}$-type and…

Superconductivity · Physics 2016-08-01 Qiang Cheng , Biao Jin

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

Superconductivity · Physics 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

The conventional Josephson effect may be modified by introducing spin-active scattering in the interface-layer of the junction. Here, we discuss a Josephson junction consisting of two s-wave superconducting leads coupled over a classical…

Superconductivity · Physics 2016-03-07 Cecilia Holmqvist , Wolfgang Belzig , Mikael Fogelström

It is widely believed that superconducting junctions involving topological insulators and hosting Majorana-like bound states may exhibit unusual "fractional" ($4\pi$-periodic) ac Josephson effect. Accordingly, "fractional" Shapiro steps on…

Superconductivity · Physics 2021-09-08 Artem V. Galaktionov , Andrei D. Zaikin

Quantum spin Hall-superconductor hybrids are promising sources of topological superconductivity and Majorana modes, particularly given recent progress on HgTe and InAs/GaSb. We propose a new method of revealing topological superconductivity…

Superconductivity · Physics 2014-11-11 Shu-Ping Lee , Karen Michaeli , Jason Alicea , Amir Yacoby

We study Josephson junctions between superconductors connected through the helical edge states of a two-dimensional topological insulator in the presence of a magnetic barrier. As the equilibrium Andreev bound states of the junction are…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Driss M. Badiane , Manuel Houzet , Julia S. Meyer

Topological superconductors are appealing building blocks for robust and reliable quantum information processing. Most platforms for engineering topological superconductivity rely on a combination of superconductors, materials with…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ignacio Sardinero , Rubén Seoane Souto , Pablo Burset

A thin ferromagnetic layer on a bulk equal-spin-pairing triplet superconductor is shown to mediate a Josephson coupling between the spin $\uparrow$ and $\downarrow$ condensates of the superconductor. By deriving analytic expressions for the…

Superconductivity · Physics 2015-03-17 P. M. R. Brydon , Yasuhiro Asano , Carsten Timm

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

We study the transport properties of a diffusive Josephson junction between two spin-split superconductors made of superconductor-ferromagnetic insulator bilayers (FIS) on top of a 3D topological insulator (TI). We derive the corresponding…

Superconductivity · Physics 2022-12-21 Tim Kokkeler , F. Sebastián Bergeret , Alexander Golubov

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.…

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Christian Spånslätt

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna

A prominent signature of Majorana bound states is the exotic Josephson effects they produce, the classic example being a fractional Josephson current with 4\pi periodicity in the phase difference across the junction. Recent work established…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Falko Pientka , Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Topological superconductors supporting Majorana Fermions with non-abelian statistics are presently a subject of intense theoretical and experimental effort. It has been proposed that the observation of a half-frequency or a fractional…

Mesoscale and Nanoscale Physics · Physics 2012-06-21 Jay D. Sau , Erez Berg , Bertrand I. Halperin

We investigate theoretically properties of two-dimensional topological insulator constrictions both in the integer and fractional regimes. In the presence of a perpedicular magnetic field, the constriction functions as a spin filter with…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Jelena Klinovaja , Daniel Loss

We theoretically investigate how the spin susceptibility of a planar Josephson junction is affected when the system transits into the topological superconducting state. We show that the magnetic flux and magnetic field dependence of the…

Superconductivity · Physics 2021-10-04 Joseph D. Pakizer , Alex Matos-Abiague

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