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Topological superconductors admit zero-energy Majorana bound states at their boundaries. In this review article, we discuss how to probe these Majorana bound states in Josephson junctions between two topological superconductors. In the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Driss M. Badiane , Leonid I. Glazman , Manuel Houzet , Julia S. Meyer

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by two superconducting leads, forming a Josephson junction. We show that in the presence of an in-plane Zeeman field the quasi-one-dimensional region…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Falko Pientka , Anna Keselman , Erez Berg , Amir Yacoby , Ady Stern , Bertrand I. Halperin

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

Nonreciprocal supercurrents in Josephson junctions have recently emerged as a sensitive tool for investigating broken symmetries in superconducting quantum materials. Here, we report an even-odd Josephson diode effect (JDE) in…

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Doru Sticlet , Cristina Bena , Pascal Simon

Superconducting systems exhibit non-reciprocal current transport under certain conditions of symmetry breaking, a phenomenon known as the superconducting diode effect. This effect allows for perfect rectification of supercurrent, and has…

The intrinsic Josephson diode effect (JDE) has recently attracted considerable attention due to its sensitivity to broken symmetries in Josephson junctions, offering a powerful probe for uncovering hidden symmetry-breaking mechanisms in…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Yan-Liang Hou , An-Qi Wang , Na Li , Chun-Guang Chu , Alexander Brinkman , Zhi-Min Liao , Chuan Li

We theoretically study the transverse charge transport in Josephson junctions based on the tilted Dirac materials with valley-dependent gaps. It is shown that a finite tilt-assisted transverse Josephson Hall current is present under broken…

Superconductivity · Physics 2025-05-06 W. Zeng

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

In bulk superconductors or Josephson junctions formed in materials with spin-orbit interaction, the critical current can depend on the direction of current flow and applied magnetic field, an effect known as the superconducting (SC) diode…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Henry F. Legg , Katharina Laubscher , Daniel Loss , Jelena Klinovaja

The superconducting diode effect, reminiscent of the unidirectional charge transport in semiconductor diodes, is characterized by a nonreciprocal, dissipationless flow of Cooper pairs. This remarkable phenomenon arises from the interplay…

We study a multi-terminal Josephson junction consisting of a central spin-orbit-coupled (SOC) region with an in-plane Zeeman field connected to four superconducting terminals. This setup allows for the simultaneous measurement of both…

Superconductivity · Physics 2025-07-29 Bijay Kumar Sahoo , Abhiram Soori

We propose a universal mechanism for the Josephson diode effect in short Josephson junctions. The proposed mechanism is due to finite Cooper pair momentum and is a manifestation of simultaneous breaking of inversion and time-reversal…

Superconductivity · Physics 2023-10-26 Margarita Davydova , Saranesh Prembabu , Liang Fu

The anomalous proximity effect in dirty superconducting junctions is one of most striking phenomena highlighting the profound nature of Majorana bound states and odd-frequency Cooper pairs in topological superconductors. Motivated by the…

Superconductivity · Physics 2020-11-04 Satoshi Ikegaya , Shun Tamura , Dirk Manske , Yukio Tanaka

Transition metal dichalcogenides (TMDs) offer a unique platform to study unconventional superconductivity, owing to the presence of strong spin-orbit coupling and a remarkable stability to an in-plane magnetic field. A recent study found…

Superconductivity · Physics 2022-06-29 Ranjani Seshadri , Maxim Khodas , Dganit Meidan

We report the observation of Josephson diode effect (JDE) in hybrid devices made from semiconductor InAs nanosheets and superconductor Al contacts. By applying an in-plane magnetic field ($B_{\mathrm{xy}}$), we detect non-reciprocal…

Mesoscale and Nanoscale Physics · Physics 2025-04-17 Shili Yan , Yi Luo , Haitian Su , Han Gao , Xingjun Wu , Dong Pan , Jianhua Zhao , Ji-Yin Wang , Hongqi Xu

A planar Josephson junction is a versatile platform to realize topological superconductivity over a large parameter space and host Majorana bound states. With a change in Zeeman field, this system undergoes a transition from trivial to…

Mesoscale and Nanoscale Physics · Physics 2024-07-25 Barış Pekerten , David Brandão , Bailey Bussiere , David Monroe , Tong Zhou , Jong E. Han , Javad Shabani , Alex Matos-Abiague , Igor Žutić

Recently, the superconducting diode effect (SDE), characterized by unequal critical currents in opposite directions, has been observed experimentally and predicted theoretically in models of bulk superconductors and Josephson junctions…

Superconductivity · Physics 2026-02-20 Lovy Sharma , Bimal Ghimire , Manisha Thakurathi

Topological Josephson junctions (JJs), which contain Majorana bound states, are expected to exhibit 4$\pi$-periodic current-phase relation, thereby resulting in doubled Shapiro steps under microwave irradiation. We performed numerical…

Superconductivity · Physics 2020-12-30 Yeongmin Jang , Yong-Joo Doh

Recently, the Josephson diode effect (JDE), in which the superconducting critical current magnitudes differ when the currents flow in opposite directions, has attracted great interest. In particular, it was demonstrated that gate-defined…

Superconductivity · Physics 2023-12-15 Jin-Xin Hu , Zi-Ting Sun , Ying-Ming Xie , K. T. Law