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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

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari

The 1937 theoretical discovery of Majorana fermions--whose defining property is that they are their own anti-particles--has since impacted diverse problems ranging from neutrino physics and dark matter searches to the fractional quantum…

Superconductivity · Physics 2015-06-04 Jason Alicea

This short review article provides a pedagogical introduction to the rapidly growing research field of Majorana fermions in topological superconductors. We first discuss in some details the simplest "toy model" in which Majoranas appear,…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Martin Leijnse , Karsten Flensberg

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

Majorana fermions are particles identical to their antiparticles proposed theoretically in 1937 by Ettore Majorana as real solutions of the Dirac equation. Alexei Kitaev suggested that Majorana particles should emerge in condensed matter…

Superconductivity · Physics 2023-10-17 Antônio Lucas Rigotti Manesco , Gabriel Weber , Durval Rodrigues

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

Majorana fermions are particles identical to their own antiparticles. They have been theoretically predicted to exist in topological superconductors. We report electrical measurements on InSb nanowires contacted with one normal (Au) and one…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 V. Mourik , K. Zuo , S. M. Frolov , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak

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

Majorana fermions are the only fermionic particles that are expected to be their own antiparticles. While elementary particles of the Majorana type were not identified yet, quasi-particles with Majorana like properties, born from…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 Anindya Das , Yuval Ronen , Yonatan Most , Yuval Oreg , Moty Heiblum , Hadas Shtrikman

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We…

Superconductivity · Physics 2021-12-01 Giorgos Livanas , Nikolaos Vanas , Georgios Varelogiannis

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

Strongly Correlated Electrons · Physics 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

Majorana zero modes have been shown to be the simplest quasiparticles exhibiting pure odd-frequency pairing, an effect that has so far been theoretically established in the static regime. In this work, we investigate the formation of…

Superconductivity · Physics 2025-01-23 Eslam Ahmed , Shun Tamura , Yukio Tanaka , Jorge Cayao

Under certain conditions, a fermion in a superconductor can separate in space into two parts known as Majorana zero modes, which are immune to decoherence from local noise sources and are attractive building blocks for quantum computers.…

Superconductivity · Physics 2020-04-14 Sujit Manna , Peng Wei , Yingming Xie , Kam Tuen Law , Patrick Lee , Jagadeesh Moodera

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

Ettore Majorana, in his short life, unintendedly has uncovered the most profound problem in quantum computation by his discovery of Majorana fermion, a particle which is its own anti-particle. Owing to its non-Abelian exchange statistics,…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Nur R. Ayukaryana , Mohammad H. Fauzi , Eddwi H. Hasdeo

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
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