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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

Recently, topological superconductors based on Josephson junctions in two-dimensional electron gases with strong Rashba spin-orbit coupling have been proposed as attractive alternatives to wire-based setups. Here, we elucidate how…

Superconductivity · Physics 2019-06-14 Benedikt Scharf , Falko Pientka , Hechen Ren , Amir Yacoby , Ewelina M. Hankiewicz

We investigate the Josephson effect in TNT and NTN junctions, consisting of topological (T) and normal (N) phases of semiconductor-superconductor 1D heterostructures in the presence of a Zeeman field. A key feature of our setup is that, in…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Panagiotis Kotetes , Alexander Shnirman , Gerd Schön

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

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 Josephson effects in the superconductor/two-dimensional Weyl nodal line semimetal/superconductor junctions using the Green's function method. When the Rashba spin-orbit coupling and an external magnetic field coexist in the…

Superconductivity · Physics 2025-09-05 Wen-Ting Liu , Shu-Chang Zhao , Qiang Cheng , Qing-Feng Sun

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

We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

We investigate the Josephson diode effect (JDE) within quasi-2D planar systems featuring the $C_{1v}$ spin-orbit coupling (SOC) and Zeeman fields in the normal region. Our analysis is based on experimental observations conducted on…

Superconductivity · Physics 2024-08-29 Gongqi Wang , Jianjian Miao , Wei-Qiang Chen

We show that Josephson junctions made of multiband semiconductors with strong spin-orbit coupling carry a critical supercurrent $I_c$ that contains information about the non-trivial topology of the system. In particular, we find that the…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 Pablo San-Jose , Elsa Prada , Ramón Aguado

A Josephson diode is a non-reciprocal circuit element that supports a larger dissipationless supercurrent in one direction than in the other. In this work, we propose and theoretically study a class of Josephson diodes based on supercurrent…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Rubén Seoane Souto , Martin Leijnse , Constantin Schrade

We consider a Josephson junction consisting of superconductor/ferromagnetic insulator (S/FI) bilayers as electrodes which proximizes a nearby 2D electron gas. By starting from a generic Josephson hybrid planar setup we present an exhaustive…

Superconductivity · Physics 2018-07-11 P. Virtanen , F. S. Bergeret , E. Strambini , F. Giazotto , A. Braggio

In typical Josephson junctions, the Josephson current is an odd function of the superconducting phase difference. Recently, diode effect in Josephson junctions is observed in experiments wherein the maximum and the minimum values of the…

Superconductivity · Physics 2023-05-08 Abhiram Soori

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…

A junction between two topological superconductors containing a pair of Majorana fermions exhibits a `fractional' Josephson effect, $4\pi$ periodic in the superconductors' phase difference. An additional fractional Josephson effect,…

Superconductivity · Physics 2015-05-28 Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Recent Josephson tunneling experiments on twisted flakes of high-$T_c$ cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$ revealed a non-reciprocal behavior of the critical interlayer Josephson current - i.e., a Josephson diode effect.…

Theoretical studies have shown that Majorana bound states can be induced at the ends of a one dimensional wire, a phenomenon possible due to the interplay between s-wave superconductivity, spin-orbit coupling, and an external magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Aksel Kobiałka , Nicholas Sedlmayr , Andrzej Ptok

The Josephson rectification effect, where the resistance is finite in one direction while zero in the other, has been recently realized experimentally. The resulting Josephson diode has many potential applications on superconducting…

Superconductivity · Physics 2023-11-14 Bo Lu , Satoshi Ikegaya , Pablo Burset , Yukio Tanaka , Naoto Nagaosa

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…

Majorana bound states in topological Josephson junctions induce a 4? period current-phase relation. Direct detection of the 4? periodicity is complicated by the quasiparticle poisoning. We reveal that Majorana bound states are also signaled…

Superconductivity · Physics 2017-07-24 Hong Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang