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Spatial profile of the Majorana fermion wave function in a one-dimensional $p$-wave superconductors ($\cal{PWS}$) with quasi periodic disorder is shown to exhibit spatial oscillations. These oscillations damp out in the interior of the…

Disordered Systems and Neural Networks · Physics 2017-05-26 Indubala I Satija

We investigate the mesoscopic resistor-capacitor circuit consisting of a quantum dot coupled to spatially separated Majorana fermion modes in a chiral topological superconductor. We find substantially enhanced relaxation resistance due to…

Mesoscale and Nanoscale Physics · Physics 2014-09-08 Minchul Lee , Mahn-Soo Choi

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

Superconductivity · Physics 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon

In one-dimensional topological superconductors driven periodically with the frequency $\omega$, two types of topological edge modes may appear, the well-known Majorana zero mode and a Floquet Majorana mode located at the quasi-energy $\hbar…

Mesoscale and Nanoscale Physics · Physics 2022-04-11 Anne Matthies , Jinhong Park , Erez Berg , Achim Rosch

The topological properties observed in iron-based superconductors extend our understanding of vortex Majorana quasiparticle excitations in unexpected ways. Vortex Majorana physics has been extensively studied within the context of the…

We investigate the Majorana fermions in a $T$-shaped semiconductor nanostructure with the Rashba spin-orbit coupling and a magnetic field in the proximity of an s-wave superconductor. It is found that the properties of the low-energy modes…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Y. Zhou , M. W. Wu

A one-dimensional spin-orbit coupled nanowire with proximity-induced pairing from a nearby s-wave superconductor may be in a topological nontrivial state, in which it has a zero energy Majorana bound state at each end. We find that the…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 G. Kells , D. Meidan , P. W. Brouwer

Linear, suspended chains of magnetic atoms proximity coupled to an s-wave superconductor are predicted to host Majorana zero modes at the chain ends in the presence of strong spin-orbit coupling. Specifically, iron (Fe) chains on Pb(110)…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Michael Ruby , Benjamin W. Heinrich , Yang Peng , Felix von Oppen , Katharina J. Franke

Numerical calculations for Majorana zero modes on a one-dimensional chain are performed using the technique of block diagonalization for general parameter settings. It is found that Majorana zero modes occur near the ends of the chain and…

Quantum Physics · Physics 2014-08-20 Lei Chen , W. LiMing , Jia-Hui Huang

We have recently shown [Phys. Rev. B {\bf 89}, 165314 (2014)] that a non--interacting quantum dot coupled to a one--dimensional topological superconductor and to normal leads can sustain a Majorana mode even when the dot is expected to be…

Mesoscale and Nanoscale Physics · Physics 2015-04-03 David A. Ruiz-Tijerina , E. Vernek , Luis G. G. V. Dias da Silva , J. C. Egues

Following the demonstration of semiconductor-based Josephson junctions which are fully tuneable by electrical means, new routes have been opened for the study of hybrid semiconductor-superconductor qubits. These include semiconductor-based…

Superconductivity · Physics 2020-12-15 Ramón Aguado

We study the vortex zero-energy bound states in presence of pairing among the low-energy Dirac fermions on the surface of a topological insulator. The pairing symmetries considered include the $s$-wave, $p$-wave, and, in particular, the…

Superconductivity · Physics 2010-10-11 Chi-Ken Lu , Igor F. Herbut

It is well known that non-Abelian Majorana zero modes (MZM) harbor at vortex cores in a $p_{x}+\text{i}p_{y}$ topological superconductor, which can be realized in a 2D spin-orbit coupled system with a single Fermi surface and by proximity…

Superconductivity · Physics 2017-07-31 Cheung Chan , Lin Zhang , Ting Fung Jeffrey Poon , Ying-Ping He , Yan-Qi Wang , Xiong-Jun Liu

We study one dimensional wires with spin-orbit coupling. We show that in the presence of Zeeman field and strong electron-electron interaction a clean wire may form fractional helical liquid states with phenomenology similar to fractional…

Strongly Correlated Electrons · Physics 2014-03-12 Yuval Oreg , Eran Sela , Ady Stern

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend…

Superconductivity · Physics 2012-03-01 Babak Seradjeh , Eytan Grosfeld

We consider a p-wave superconductor wire coupled to two metallic rings. confined to a one-dimensional wire. At the two interface between the the wire and the metallic rings the pairing order parameter vanishes, as result two zero modes…

Superconductivity · Physics 2011-12-26 D. Schmeltzer

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

An antidot-pinned vortex in a three-dimensional topological insulator-superconductor platform hosts a Majorana zero mode (MZM). However, numerous Caroli-de Gennes-Matricon (CdGM) states coexist with it. We develop a general theory to study…

Superconductivity · Physics 2026-04-14 Zhibo Ren , Jukka I. Väyrynen

We show the appearance of an unconventional Majorana zero mode whose wave function splits into multiple parts located at different ends of different topological superconductors, hereinafter referred to as a multi-locational Majorana zero…

Superconductivity · Physics 2024-07-16 Yutaro Nagae , Andreas P. Schnyder , Yukio Tanaka , Yasuhiro Asano , Satoshi Ikegaya

We propose a novel realization for a topologically superconducting phase hosting Majorana zero-modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free of ferromagnets. Instead, we confine helical edge…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 C. Fleckenstein , N. Traverso Ziani , A. Calzona , M. Sassetti , B. Trauzettel