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Surface codes offer a very promising avenue towards fault-tolerant quantum computation. We argue that two-dimensional interacting networks of Majorana bound states in topological superconductor/semiconductor heterostructures hold several…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 S. Plugge , L. A. Landau , E. Sela , A. Altland , K. Flensberg , R. Egger

We theoretically study the differential conductance of a one-dimensional normal-superconductor-normal-superconductor (N-SNS) junction with a phase bias applied between the two superconductors. We consider specifically a junction formed by a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Esben Bork Hansen , Jeroen Danon , Karsten Flensberg

This review presents an entry-level introduction to topological quantum computation -- quantum computing with anyons. We introduce anyons at the system-independent level of anyon models and discuss the key concepts of protected fusion…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ville Lahtinen , Jiannis K. Pachos

We propose an experimental setup for detecting a Majorana zero mode consisting of a spinless quantum dot coupled to the end of a p-wave superconducting nanowire. The Majorana bound state at the end of the wire strongly influences the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Dong E. Liu , Harold U. Baranger

Interplay between superconductivity, spin-orbit coupling and magnetic field can lead to realisation of the topologically non--trivial states which in finite one dimensional nanowires are manifested by emergence of a pair of zero-energy…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Aksel Kobiałka , Tadeusz Domański , Andrzej Ptok

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

Finding a clear signature of topological superconductivity in transport experiments remains an outstanding challenge. In this work, we propose exploiting the unique properties of three-dimensional topological insulator nanowires to generate…

Mesoscale and Nanoscale Physics · Physics 2014-09-10 Fernando de Juan , Roni Ilan , Jens H. Bardarson

Subband occupancy (i.e. the number of occupied subbands or energy levels in the semiconductor) is a key physical parameter characterizing the topological properties of superconductor-semiconductor hybrid systems in the context of the search…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Benjamin D. Woods , Sankar Das Sarma , Tudor D. Stanescu

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

Superconducting vortices are promising traps to confine non-Abelian Majorana quasi-particles. It has been widely believed that bulk-state topology, of either normal-state or superconducting ground-state wavefunctions, is crucial for…

Superconductivity · Physics 2023-02-13 Lun-Hui Hu , Rui-Xing Zhang

The concept of topological superconductivity has attracted immense interest in the physics community recently for several reasons: First, topological superconductors represent new phases of matter, topologically distinct from any other…

Superconductivity · Physics 2023-11-07 Fabian O. von Rohr

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

We perform tunneling measurements on indium antimonide nanowire/superconductor hybrid devices fabricated for the studies of Majorana bound states. At finite magnetic field, resonances that strongly resemble Majorana bound states, including…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Jun Chen , Benjamin Woods , Peng Yu , Moira Hocevar , Diana Car , Sebastien Plissard , Erik Bakkers , Tudor Stanescu , Sergey Frolov

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

Manipulation of decoupled Majorana zero modes (MZMs) could enable topologically-protected quantum computing. However, the practical realization of a large number of perfectly decoupled MZMs needed to perform nontrivial quantum computation…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 D. B. Karki , K. A. Matveev , Ivar Martin

With the recent achievement of extremely high-quality epitaxial interfaces between InAs nanowires and superconducting Al shells with strong superconductor-semiconductor tunnel coupling, a new regime of proximity-induced superconductivity in…

Superconductivity · Physics 2015-11-17 William S. Cole , S. Das Sarma , Tudor D. Stanescu

We investigate the role of the coupling between a spin-orbit coupled semiconductor nanowire and a conventional $s$-wave superconductor on the emergence of the topological superconducting phase with Majorana bound states in an applied…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Oladunjoye A. Awoga , Jorge Cayao , Annica M. Black-Schaffer

Topological quantum computing and Majorana bound states were initially theorized between 2000 and 2010. These concepts gradually transitioned to practical implementations during the subsequent decade (2010-2020). Various directions have…

Mesoscale and Nanoscale Physics · Physics 2024-06-26 Leo Kouwenhoven

Non-Abelian anyons such as Majorana zero modes (MZMs) have the potential to enable fault-tolerant quantum computing through topological protection. Experimentally reported InSb topological superconductor nanowires (TSNW) are investigated…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Mirko Poljak

We theoretically consider the ubiquitous soft gap measured in the tunneling conductance of semiconductor-superconductor hybrid structures, in which recently observed signatures of elusive Majorana bound states have created much excitement.…

Superconductivity · Physics 2015-06-12 So Takei , Benjamin M. Fregoso , Hoi-Yin Hui , Alejandro M. Lobos , S. Das Sarma