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We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting…

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…

Given recent progress in the realization of Majorana zero modes in semiconducting nanowires with proximity-induced superconductivity, a crucial next step is to attempt an experimental demonstration of the predicted braiding statistics…

Mesoscale and Nanoscale Physics · Physics 2017-05-08 David J. Clarke , Jay D. Sau , Sankar Das Sarma

To confirm the Majorana signatures, significant effort has been devoted to distinguishing between Majorana zero modes (MZMs) and spatially separated quasi-Majorana modes (QMMs). Because both MZMs and QMMs cause a quantized zero-bias peak in…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Donghao Liu , Zhan Cao , Xin Liu , Hao Zhang , Dong E. Liu

We propose a nanomechanical detection scheme for Majorana bound states, which have been predicted to exist at the edges of a one-dimensional topological superconductor, implemented, for instance, using a semiconducting wire placed on top of…

Mesoscale and Nanoscale Physics · Physics 2011-12-22 Stefan Walter , Thomas L. Schmidt , Kjetil Børkje , Björn Trauzettel

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

This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 C. W. J. Beenakker

We present transport measurements in superconductor-nanowire devices with a gated constriction forming a quantum point contact. Zero-bias features in tunneling spectroscopy appear at finite magnetic fields, and oscillate in amplitude and…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 H. O. H. Churchill , V. Fatemi , K. Grove-Rasmussen , M. T. Deng , P. Caroff , H. Q. Xu , C. M. Marcus

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

It has been widely believed that half quantum vortices are indispensable to realize topological stable Majorana zero modes and non-Abelian anyons in spinful superconductors/superfluids. Contrary to this wisdom, we here demonstrate that…

Superconductivity · Physics 2015-06-16 Masatoshi Sato , Ai Yamakage , Takeshi Mizushima

With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information processing. While the construction of a universal…

Mesoscale and Nanoscale Physics · Physics 2018-07-26 Alex Thomson , Falko Pientka

SnTe materials are know to be a platform for realization of various strong and symmetry protected topological phases in one, two and three spatial dimensions. We study symmetry-protected topological states in $[110]$ SnTe nanowires in the…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 Alicja Kawala , Wojciech Brzezicki

We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi$_2$Se$_3$. Upon the…

Superconductivity · Physics 2017-08-23 Vo Tien Phong , Niels R. Walet , Francisco Guinea

We theoretically discuss electronic transport via Majorana states in magnetic topological insulator-superconductor junctions with an asymmetric split of the applied bias voltage. We study normal-superconductor-normal (NSN) junctions made of…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Daniele Di Miceli , Eduárd Zsurka , Julian Legendre , Kristof Moors , Thomas Schmidt , Llorenç Serra

We develop a theory for the proximity effect in superconductor-semiconductor-normal metal tunneling structures, which have recently been extensively studied experimentally, leading to the observation of transport signatures consistent with…

Superconductivity · Physics 2014-08-13 Tudor D. Stanescu , Roman M. Lutchyn , S. Das Sarma

We propose a platform for universal quantum computation that uses conventional $s$-wave superconducting leads to address a topological qubit stored in spatially separated Majorana bound states in a multi-terminal topological superconductor…

Mesoscale and Nanoscale Physics · Physics 2019-01-02 Constantin Schrade , Liang Fu

We investigate the emergence of topological superconductivity and Majorana zero modes in the two-dimensional electron gas formed at the LaAlO$_3$/SrTiO$_3$ (001) interface. Using a realistic multiband tight binding model that incorporates…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 Piotr Żeberek , Paweł Wójcik

The external controllability of topological superconductors and Majorana fermions would be important both for fundamental and practical interests. Here we predict the electric-field control of Majorana fermions in two-dimensional…

Superconductivity · Physics 2016-12-07 Jing Wang

We study the effect of external electric fields on superconductor-semiconductor coupling by measuring the electron transport in InSb semiconductor nanowires coupled to an epitaxially grown Al superconductor. We find that the gate voltage…

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Pasquale Marra , Daisuke Inotani , Muneto Nitta
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