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Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

Quantum Physics · Physics 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

Superconductivity · Physics 2017-05-18 Masatoshi Sato , Yoichi Ando

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

The presence of a Majorana bound state in condensed matter systems is often associated to a zero bias peak in conductance measurements. Here, we analyze a system were this paradigm is violated. A Majorana bound state is always present at…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Christoph Fleckenstein , Felix Keidel , Bjoern Trauzettel , Niccolo Traverso Ziani

Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional topological superconductivity assume a broken gauge symmetry associated to a superconducting…

Superconductivity · Physics 2021-04-07 V. Vadimov , T. Hyart , J. L. Lado , M. Möttönen , T. Ala-Nissila

We show that Majorana edge modes appear in a strongly correlated phase of semiconducting nanowires with discrete rotational symmetry in the cross section. These modes exist in the absence of spin-orbit coupling, magnetic fields and…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li , Michele Burrello , Karsten Flensberg

Topological superconductors represent a newly predicted phase of matter that is topologically distinct from conventional superconducting condensates of Cooper pairs. As a manifestation of their topological character, topological…

Superconductivity · Physics 2013-04-15 Niv Levy , Tong Zhang , Jeonghoon Ha , Fred Sharifi , A. Alec Talin , Young Kuk , Joseph A. Stroscio

We study theoretically second-order topological superconductors characterized by the presence of pairs of zero-energy Majorana corner states. We uncover a quadrupole spin polarization at the system edges that provides a striking signature…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Kirill Plekhanov , Niclas Müller , Yanick Volpez , Dante M. Kennes , Herbert Schoeller , Daniel Loss , Jelena Klinovaja

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

The Majorana fermion offers fascinating possibilities such as non-Abelian statistics and non-local robust qubits, and hunting it is one of the most important topics in current condensed matter physics. Most of the efforts have been focused…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Lina Johnsen Kamra , Bo Lu , Jacob Linder , Yukio Tanaka , Naoto Nagaosa

Majorana zero modes (MZMs) emerge as edge states in topological superconductors and are promising for topological quantum computation, but their detection has so far been elusive. Here we show that non-Hermiticity can be used to obtain…

Superconductivity · Physics 2023-08-25 R. Arouca , Jorge Cayao , Annica M. Black-Schaffer

We consider Majorana fermions tunneling among an array of vortices in a 2D chiral p-wave superconductor or equivalent material. The amplitude for Majorana fermions to tunnel between a pair of vortices is found to necessarily depend on the…

Superconductivity · Physics 2013-11-25 Rudro R. Biswas

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

Inspired by a recent experimental observation of the zero-bias tunneling conductance in superconductor-semiconductor nanowire devices, we consider here transport properties of the junctions consisting of a nanowire (Luttinger liquid)…

Superconductivity · Physics 2013-08-05 Roman M. Lutchyn , Jacob H. Skrabacz

We study the differential conductance for charge tunneling into a semiconductor wire--superconductor hybrid structure, which is actively investigated as a possible scheme for realizing topological superconductivity and Majorana zero modes.…

Mesoscale and Nanoscale Physics · Physics 2018-01-04 John Stenger , Tudor D. Stanescu

We show that an ordinary semiconducting thin film with spin-orbit coupling can, under ap- propriate circumstances, be in a quantum topologically ordered state supporting exotic Majorana excitations which follow non-Abelian statistics. The…

Superconductivity · Physics 2010-12-23 Jay D. Sau , Sumanta Tewari , Roman Lutchyn , Tudor Stanescu , S. Das Sarma

We show that Majorana fermions associated with Majorana flat bands emerge as zero energy modes on the [110] edge of single layer or multilayer nodal superconductors with $d_{x^2-y^2}$-wave pairing and Rashba spin-orbit coupling. Moreover,…

Superconductivity · Physics 2014-05-29 Noah F. Q. Yuan , Chris L. M. Wong , K. T. Law

A semiconducting nanowire proximitized by an $s$-wave superconductor can be tuned into a topological state by an applied magnetic field. This quantum phase transition is marked by the emergence of Majorana zero modes at the ends of the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Chaitanya Murthy , Vladislav D. Kurilovich , Pavel D. Kurilovich , Bernard van Heck , Leonid I. Glazman , Chetan Nayak

Majorana zero modes (MZMs), fundamental building blocks for realizing topological quantum computers, can appear at the interface between a superconductor and a topological material. One of the experimental signatures that has been widely…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 W. Yu , Rafael Haenel , M. A. Rodriguez , S. R. Lee , F. Zhang , M. Franz , D. I. Pikulin , W. Pan
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