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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…

The interplay of superconductivity, magnetic fields, and spin-orbit interaction lies at the heart of topological superconductivity. Remarkably, the recent experimental discovery of $\varphi_{0}$ Josephson junctions by Szombati et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Constantin Schrade , Silas Hoffman , Daniel Loss

Topological superconductors harbor, at their boundaries and vortex cores, zero-energy Majorana bound states, which can be the building blocks in fault-tolerant topological quantum computing. Planar Josephson junctions host such topological…

Superconductivity · Physics 2024-02-22 Pankaj Sharma , Narayan Mohanta

We study a junction between two time-reversal-invariant topological superconductors and show this system goes through a series of multiple transitions between a $0$-junction phase, where the free energy has its minimum for a superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Arbel Haim

Topological superconductivity holds promise for fault-tolerant quantum computing. While planar Josephson junctions are attractive candidates to realize this exotic state, direct phase-measurements as the fingerprint of the topological…

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 theoretically investigate Josephson junctions with a phase shift of $\pi$ in various proximity induced one-dimensional superconductor models. One of the salient experimental signatures of topological superconductors, namely the…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Christian Spånslätt , Eddy Ardonne , Jan Carl Budich , Thors Hans Hansson

Hybrid Josephson junctions realized on a two-dimensional electron gas are considered promising candidates for developing topological elements that are easily controllable and scalable. Here, we theoretically study the possibility of the…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 D. Kuiri , M. P. Nowak

A growing body of work suggests that planar Josephson junctions fabricated using superconducting hybrid materials provide a highly controllable route toward one-dimensional topological superconductivity. Among the experimental controls are…

Superconductor-Ferromagnetic-Superconductor (SFS) Josephson junctions are known to exhibit a transition between $\pi$ and 0 states. In this note we find the $\pi-0$ phase diagram of an SFS junction depending on the transparency of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. M. Chtchelkatchev , W. Belzig , Yu. V. Nazarov , C. Bruder

Majorana zero modes are quasiparticle states localized at the boundaries of topological superconductors that are expected to be ideal building blocks for fault-tolerant quantum computing. Several observations of zero-bias conductance peaks…

Hybrid superconductor-semiconductor systems with large spin-orbit coupling are important platforms for realizing topological or triplet superconductivity. Planar Josephson junctions made using these materials are predicted to enter the…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 S. R. Mudi , S. Anupam , V. Mourik , S. M. Frolov

Quantum dots attached to BCS superconducting leads exhibit a $0-\pi$ impurity quantum phase transition, which can be experimentally controlled either by the gate voltage or by the superconducting phase difference. For the pertinent…

Mesoscale and Nanoscale Physics · Physics 2020-07-27 Alžběta Kadlecová , Martin Žonda , Vladislav Pokorný , Tomáš Novotný

We study the Josephson transport in a high-Tc superconductor/ferromagnetic-insulator(FI)/high-Tc superconductor numerically. We found the formation of a pi-junction in such systems. More remarkably the ground state of such junction…

Superconductivity · Physics 2015-05-27 Shiro Kawabata , Yukio Tanaka , Yasuhiro Asano

We consider a Josephson junction bilayer consisting of two tunnel-coupled two-dimensional electron gas layers with Rashba spin-orbit interaction, proximitized by a top and bottom $s$-wave superconductor with phase difference $\phi$ close to…

Mesoscale and Nanoscale Physics · Physics 2019-04-04 Yanick Volpez , Daniel Loss , Jelena Klinovaja

We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

Superconductor-ferromagnet-superconductor Josephson junctions are known to exist in the $0$ and $\pi$ states with the transitions between them controlled by the temperature and ferromagnetic interlayer thickness. We demonstrate that these…

Superconductivity · Physics 2020-03-18 A. Vargunin , M. A. Silaev

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

It is demonstrated that in the diffusive superconductor-ferromagnet-superconductor (S/F/S) junctions the current-phase relation is practically sinusoidal everywhere except in a narrow region near the 0-Pi transition. In this region the…

Superconductivity · Physics 2009-11-11 A. Buzdin

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
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