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We propose a versatile platform to investigate the existence of Majorana bound states (MBSs) and their non-Abelian statistics through braiding. This implementation combines a two-dimensional electron gas formed in a semiconductor quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Geoffrey L. Fatin , Alex Matos-Abiague , Benedikt Scharf , Igor Žutić

Two-dimensional electron gases with strong spin-orbit coupling covered by a superconducting layer offer a flexible and potentially scalable platform for Majorana networks. We predict Majorana bound states (MBSs) to appear for experimentally…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Michael Hell , Karsten Flensberg , Martin Leijnse

Spin-valve structures in which a change of magnetic configuration is responsible for magnetoresistance have enabled impressive advances in spintronics, focusing on magnetically storing and sensing information. However, this mature…

Superconductivity · Physics 2019-04-09 Tong Zhou , Narayan Mohanta , Jong E. Han , Alex Matos-Abiague , Igor Zutic

A hybrid semiconductor-superconductor nanowire on the top of a magnetic film in the stripe phase experiences a magnetic texture from the underlying fringing fields. The Zeeman interaction with the highly inhomogeneous magnetic textures…

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

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

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

The non-Abelian statistics of Majorana zero modes (MZMs) are central to fault-tolerant topological quantum computing. Planar Josephson junctions provide a particularly versatile platform for realizing robust topological superconductivity…

Superconductivity · Physics 2026-01-29 Richang Huang , Yongliang Hu , Xianzhang Chen , Peng Yu , Siwei Tan , Igor Zutic , Tong Zhou

Demonstration of non-Abelian statistics of Majorana bound states (MBS) is crucial for the realization of fault-tolerant topological quantum computation. Two-dimensional platforms such as planar Josephson junctions require an in-plane…

Superconductivity · Physics 2025-07-08 Pankaj Sharma , Narayan Mohanta

Protecting qubits from perturbations is a central challenge in quantum computing. Topological superconductors with separated Majorana bound states (MBSs) provide a strong form of protection that only depends on the locality of…

We model theoretically a two-dimensional electron gas (2DEG) covered by a superconductor and demonstrate that topological superconducting channels are formed when stripes of the superconducting layer are removed. As a consequence, Majorana…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Michael Hell , Martin Leijnse , Karsten Flensberg

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

Topological quantum computation, featuring qubits built out of anyonic excitations known as Majorana zero modes (MZMs), have long presented an exciting pathway towards scalable quantum computation. Recently, the advent of altermagnetic…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Themba Hodge , Eric Mascot , Stephan Rachel

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

Second-order topological superconductors (SOTSs) host localized Majorana fermions and provide a new platform for topological quantum computation. We propose a remarkable and feasible way to realize networks based on SOTSs which allow to…

Superconductivity · Physics 2020-09-16 Song-Bo Zhang , Alessio Calzona , Björn Trauzettel

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

We theoretically investigate the effects of tunable magnetic fringe fields generated by arrays of switchable magnetic junctions (MJs) on the quantum states of an underlying two-dimensional (2D) system formed in a semiconductor quantum well.…

Mesoscale and Nanoscale Physics · Physics 2022-08-09 Siphiwo R. Dlamini , Alex Matos-Abiague

Majorana-based topological qubits are expected to exploit the nonabelian braiding statistics of Majorana modes in topological superconductors to realize fault-tolerant topological quantum computation. Scalable qubit designs require several…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta

Majorana bound states (MBSs) are building blocks for topological quantum computing. They can be generated via the combination of electronic topology and superconductivity. To achieve logic operations via Majorana braiding, positional…

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson
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