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As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

We analyze the evidence of Majorana zero modes in nanowires that came from tunneling spectroscopy and other experiments, and scout the path to topologically protected states that are of interest for quantum computing. We illustrate the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 S. M. Frolov , M. J. Manfra , J. D. Sau

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Over the last decade, there have been considerable efforts to observe non-abelian quasi-particles in novel quantum materials and devices. These efforts are motivated by the goals of demonstrating quantum statistics of quasi-particles beyond…

Superconductivity · Physics 2023-06-26 Ali Yazdani , Felix von Oppen , Bertrand I. Halperin , Amir Yacoby

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

Braiding of non-Abelian Majorana anyons is a first step towards using them in quantum computing. We propose a protocol for braiding Majorana zero modes formed at the edges of nanowires with strong spin orbit coupling and proximity induced…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Pranay Gorantla , Rajdeep Sensarma

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

We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used…

Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

We summarize the key ingredients required for universal topological quantum computation using Majorana zero modes in networks of topological superconductor nanowires. Particular emphasis is placed on the use of both sparse and dense logical…

Quantum Physics · Physics 2026-04-07 Philipp Frey , Themba Hodge , Eric Mascot , Stephan Rachel

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

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…

We present a theoretical analysis of low-energy quantum transport in coupled Majorana box devices. A single Majorana box represents a Coulomb-blockaded mesoscopic superconductor proximitizing two or more long topological nanowires. The box…

Mesoscale and Nanoscale Physics · Physics 2018-05-18 Matthias Gau , Stephan Plugge , Reinhold Egger
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