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We demonstrate that partially overlapping Majorana bound states (MBSs) represent a generic low-energy feature that emerges in non-homogeneous semiconductor nanowires coupled to superconductors in the presence of a Zeeman field. The…

Mesoscale and Nanoscale Physics · Physics 2018-04-09 Christopher Moore , Tudor D. Stanescu , Sumanta Tewari

Electronic excitations above the ground state must overcome an energy gap in superconductors with spatially-homogeneous s-wave pairing. In contrast, inhomogeneous superconductors such as those with magnetic impurities or weak links, or…

In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain toy model in order to introduce some of the basic…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Katharina Laubscher , Jelena Klinovaja

The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose is to…

Superconductivity · Physics 2021-10-22 A. O. Zlotnikov , M. S. Shustin , A. D. Fedoseev

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

Magnetic chains on superconducting systems have emerged as a platform for realization of Majorana bound states (MBSs) in condensed matter systems with possible applications to topological quantum computation. In this work we study the MBSs…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Raphael L. R. C. Teixeira , Dushko Kuzmanovski , Annica M. Black-Schaffer , Luis G. G. V. Dias da Silva

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

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

In this minireview, we outline the recent experimental and theoretical progress in the creation, characterization and manipulation of Majorana bound states (MBSs) in semiconductor-superconductor (SC) hybrid structures. After an introductory…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Alexander Schuray , Daniel Frombach , Sunghun Park , Patrik Recher

In modern experiments with hybrid superconducting (SC)/semiconducting nanowires the presence of zero-energy Andreev bound states (ABSs), characterized by a partial overlap of the Majorana wave functions, is a common problem that…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 S. V. Aksenov

Topological superconductors are prime candidates for the implementation of topological-quantum-computation ideas because they can support non-Abelian excitations like Majorana fermions. We go beyond the low-energy effective-model…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Dibyendu Roy , C. J. Bolech , Nayana Shah

Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

Magnet-superconductor hybrid (MSH) systems represent promising platforms to host Majorana zero modes (MZMs), the elemental building blocks for fault-tolerant quantum computers. Theoretical description of such MSH structures is mostly based…

Topological superconductivity supports exotic Majorana bound states (MBS) which are chargeless zero-energy emergent quasiparticles. With their non-Abelian exchange statistics and fractionalization of a single electron stored nonlocally as a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Tong Zhou , Matthieu C. Dartiailh , William Mayer , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

We present an ab initio modeling framework to simulate Majorana transport in 2D semiconducting materials, paving the way for topological qubits based on 2D nanoribbons. By combining density-functional-theory and quantum transport…

Mesoscale and Nanoscale Physics · Physics 2021-11-02 Y. Lee , T. Agarwal , M. Luisier

We investigate the topological properties of a Josephson junction obtained by constraining a two-dimensional electron gas at oxide interface to form a quasi-1D conductor. We reveal an anomalous critical current behaviour with a magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Alfonso Maiellaro , Jacopo Settino , Claudio Guarcello , Francesco Romeo , Roberta Citro

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

Superconductivity · Physics 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

The aim of this Tutorial is to give a pedagogical introduction into realizations of Majorana fermions, usually termed as Majorana bound states (MBS), in condensed matter systems with magnetic textures. We begin by considering the Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Utkan Güngördü , Alexey A. Kovalev

The unambiguous identification of topological Majorana-bound states (MBSs) in superconducting hybrid systems is hindered by trivial low-energy excitations, especially partially separated Andreev bound states (psABSs), which can mimic…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Shubhanshu Karoliya , Ekta , Gargee Sharma

We consider theoretically the physics of bulk topological superconductivity accompanied by boundary non-Abelian Majorana zero modes in semiconductor-superconductor (SM-SC) hybrid systems consisting of finite wires in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Sankar Das Sarma , Jay D. Sau , Tudor D. Stanescu
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