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Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with…

Superconductivity · Physics 2019-02-13 C. W. J. Beenakker , A. Grabsch , Y. Herasymenko

In the space of less than one decade, the search for Majorana quasiparticles in condensed matter has become one of the hottest topics in physics. The aim of this review is to provide a brief perspective of where we are with strong focus on…

Superconductivity · Physics 2018-10-08 Ramón Aguado

We study both analytically and numerically the role of orbital effects caused by a magnetic field applied along the axis of a semiconducting Rashba nanowire in the topological regime hosting Majorana fermions. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Olesia Dmytruk , Jelena Klinovaja

Non-equilibrium quasiparticles are possible sources for decoherence in superconducting qubits because they can lead to energy decay or dephasing upon tunneling across Josephson junctions (JJs). Here, we investigate the impact of the…

A key phenomenon related to the Josephson effect is oscillations of different properties of superconducting tunneling junctions with magnetic field. We consider magnetic oscillations of the critical current in stacks of intrinsic Josephson…

Superconductivity · Physics 2011-11-09 A. E. Koshelev

We study supercurrent and proximity vortices in a Josephson junction made of disordered surface states of a three-dimensional topological insulator with a proximity induced in-plane helical magnetization. In a regime where the rotation…

Mesoscale and Nanoscale Physics · Physics 2018-11-09 Alexander Zyuzin , Mohammad Alidoust , Daniel Loss

We discuss correlated lattice models with a time-dependent potential across a barrier and show how to implement a Josephson-junction-like behavior. The pairing occurs by a correlation effect enhanced by the symmetry of the system. In order…

Superconductivity · Physics 2009-11-11 Stefano Bellucci , Michele Cini , Pasquale Onorato , Enrico Perfetto

We experimentally studied the Josephson supercurrent in Nb/InN-nanowire/Nb junctions. Large critical currents up to 5.7 $\mu$A have been achieved, which proves the good coupling of the nanowire to the superconductor. The effect of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 R. Frielinghaus , I. E. Batov , M. Weides , H. Kohlstedt , R. Calarco , Th. Schaepers

Majorana bound states (MBSs) are quasiparticles which are their own antiparticles. They are predicted to emerge as zero-energy modes localized at the boundary of a topological superconductor. No intrinsic topological superconductor is known…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 William F. Schiela , Peng Yu , Javad Shabani

Nowadays superconductors serve in numerous applications, from high-field magnets to ultra-sensitive detectors of radiation. Mesoscopic superconducting devices, i.e. those with nanoscale dimensions, are in a special position as they are…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 M. Taupin , I. M. Khaymovich , M. Meschke , A. S. Mel'nikov , J. P. Pekola

Mesoscopic multi-terminal Josephson junctions are novel devices that provide weak coupling between several bulk superconductors through a common normal layer. Because of the nonlocal coupling of the superconducting banks, a current flow…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. H. S. Amin , A. N. Omelyanchouk , A. Blais , A. Maassen van den Brink , G. Rose , T. Duty , A. M. Zagoskin

The Josephson vortex formed in a superconductor-insulator-superconductor (SIS) junction can affect the quantum mechanics of quasiparticles by creating an effective adiabatic potential determined by the inhomogeneous distribution of the…

Superconductivity · Physics 2023-01-31 Vadim Plastovets , A. S. Mel'nikov

We show how to exchange (braid) Majorana fermions in a network of superconducting nanowires by control over Coulomb interactions rather than tunneling. Even though Majorana fermions are charge-neutral quasiparticles (equal to their own…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 B. van Heck , A. R. Akhmerov , F. Hassler , M. Burrello , C. W. J. Beenakker

The Josephson effect is a kind of macroscopic quantum phenomenon that supercurrent flows through a Josephson junction without any voltage applied. We predict a novel vortex-state-mediated Josephson effect in an SNS Josephson junction…

Superconductivity · Physics 2014-09-04 Zhao Yang Zeng , Chong Zhang

We show that a system of Josephson junctions coupled via low-resistance tunneling contacts to graphene substrate(s) may effectively operate as a current switching device. The effect is based on the dissipation-driven…

Superconductivity · Physics 2009-11-13 Roman M. Lutchyn , Victor Galitski , Gil Refael , S. Das Sarma

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 multiband semiconducting nanowires proximity-coupled with an s-wave superconductor. We show that when odd number of subbands are occupied the system realizes non-trivial topological state supporting Majorana modes localized at the…

Superconductivity · Physics 2011-03-31 Roman M. Lutchyn , Tudor Stanescu , S. Das Sarma

We have studied Josephson tunneling through a circularly polarized micron or submicron-size disk of a soft ferromagnetic material. Such a disk contains a vortex that exhibits rich classical dynamics and has recently been proposed as a tool…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 R. Zarzuela , E. M. Chudnovsky , J. Tejada

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

We study signatures of Majorana zero modes (MZMs) bound to Josephson vortices in superconductor-three-dimensional topological insulator-superconductor (S-TI-S) Josephson junctions placed in a perpendicular magnetic field. First, using…

Mesoscale and Nanoscale Physics · Physics 2025-06-27 Katharina Laubscher , Jay D. Sau