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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…

超导电性 · 物理学 2019-02-13 C. W. J. Beenakker , A. Grabsch , Y. Herasymenko

Majorana zero-modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by…

超导电性 · 物理学 2019-04-17 C. W. J. Beenakker , P. Baireuther , Y. Herasymenko , I. Adagideli , Lin Wang , A. R. Akhmerov

The chiral edge modes of a topological superconductor can transport fermionic quasiparticles, with Abelian exchange statistics, but they can also transport non-Abelian anyons: Edge-vortices bound to a $\pi$-phase domain wall that propagates…

介观与纳米尺度物理 · 物理学 2023-12-15 I. M. Flór , A. Donís-Vela , C. W. J. Beenakker , G. Lemut

We consider the one-dimensional (1D) topological superconductor that may form in a planar superconductor-metal-superconductor Josephson junction in which the metal is is subjected to spin orbit coupling and to an in-plane magnetic field.…

超导电性 · 物理学 2019-03-27 Ady Stern , Erez Berg

We investigate the magnetic characteristics and tunnelling signatures of a planar Josephson junction with Rashba spin-orbit coupling during the fusion of two Majorana vortices. By employing the topological phase diagram and conducting…

介观与纳米尺度物理 · 物理学 2024-09-27 Krishnan Ganesh , Derek K. K. Lee , Jiannis K. Pachos

Two-dimensional $p_x+ip_y$ topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of $h/2e$ vortices. Here we construct a model realizing the fractional counterpart of this phase: a…

介观与纳米尺度物理 · 物理学 2018-01-03 Eran Sagi , Arbel Haim , Erez Berg , Felix von Oppen , Yuval Oreg

A vortex in a model spinless px+ipy superconductor induces two Majorana fermions (MFs), one in the core and the other at the sample edge. In the present work, we show that edge MF can be generated, fused, transported, and braided easily by…

超导电性 · 物理学 2011-12-30 Qi-Feng Liang , Zhi Wang , Xiao Hu

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…

超导电性 · 物理学 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

A phase from an adiabatic exchange of Majorana bound states (MBS) reveals their exotic anyonic nature. For detecting this exchange phase, we propose an experimental setup consisting of a Corbino-geometry Josephson junction on the surface of…

介观与纳米尺度物理 · 物理学 2015-12-17 Sunghun Park , Patrik Recher

The chiral edge modes of a topological superconductor support two types of excitations: fermionic quasiparticles known as Majorana fermions and $\pi$-phase domain walls known as edge vortices. Edge vortices are injected pairwise into…

超导电性 · 物理学 2020-11-24 C. W. J. Beenakker , D. O. Oriekhov

We discuss the Josephson effect and the appearance of dissipationless edge currents in a holographic Josephson junction configuration involving a chiral, time-reversal breaking, superconductor in 2+1 dimensions. Such a superconductor is…

高能物理 - 理论 · 物理学 2015-06-17 Moshe Rozali , Alexandre Vincart-Emard

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

介观与纳米尺度物理 · 物理学 2021-04-27 Shao-Kai Jian , Shuai Yin

A Josephson junction in a topological superconductor can inject a charge e/2 into a normal-metal contact, carried by chiral Majorana edge modes. Here we address the question whether this half-integer charge is a sharp observable, without…

介观与纳米尺度物理 · 物理学 2020-08-05 F. Hassler , A. Grabsch , M. J. Pacholski , D. O. Oriekhov , O. Ovdat , I. Adagideli , C. W. J. Beenakker

We study a single vortex in a two-dimensional $p+ip$ Fermi superfluid interacting with a Bose-Einstein condensate. The Fermi superfluid is topologically non-trivial and hosts a zero-energy Majorana bound state at the vortex core. Assuming a…

量子气体 · 物理学 2018-12-05 Jing-Bo Wang , Wei Yi , Jian-Song Pan

We determine the current-phase relation (CPR) of two-terminal configurations of Josephson junctions containing two-dimensional (2D) time-reversal invariant topological superconductors (TRITOPS), including TRITOPS-TRITOPS, as well as…

We explore a long Josephson contact transporting Cooper pairs between 1D charge-neutral chiral Majorana modes in the leads via charged Dirac chiral modes in the normal region. We investigate the regimes of (i) transparent contacts and (ii)…

超导电性 · 物理学 2016-07-06 Dmitriy S. Shapiro , Alexander Shnirman , Alexander D. Mirlin

In recent years there has been an intensive search for Majorana fermion states in condensed matter systems. Predicted to be localized on cores of vortices in certain non-conventional superconductors, their presence is known to render the…

超导电性 · 物理学 2012-10-30 Eytan Grosfeld , Ady Stern

We propose a theoretical model describing a Josephson junction featuring a magnetically textured barrier within two-dimensional (2D) $p$-wave superconductor, considering both $p_x + p_y$ and $p_x + ip_y$ type pairing symmetries. Our study…

超导电性 · 物理学 2025-09-29 Minakshi Subhadarshini , Amartya Pal , Pritam Chatterjee , Arijit Saha

As part of the intense effort towards identifying platforms in which Majorana bound states can be realized and manipulated to perform qubit operations, we propose a topological Josephson junction architecture that achieves these…

介观与纳米尺度物理 · 物理学 2020-11-03 Suraj S. Hegde , Guang Yue , Yuxuan Wang , Erik Huemiller , D. J. Van Harlingen , Smitha Vishveshwara

The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{i\theta}$, where $\theta$ is…

介观与纳米尺度物理 · 物理学 2026-02-06 Stijn R. de Wit , Emre Duman , A. Mert Bozkurt , Alexander Brinkman , Inanc Adagideli
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