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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 novel idea that spin-orbit coupling (SOC) and $s$-wave pairing can lead to induced $p$-wave pairing at strong magnetic limit has stimulated widespread interests in the whole community for the searching of Majorana Fermions (MFs), a…

Superconductivity · Physics 2018-10-24 Jia Liu , Chun Fai Chan , Ming Gong

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

The possible realization of Majorana fermions as quasiparticle excitations in condensed matter physics has created much excitement. Most recent studies have focused on Majorana bound states which can serve as topological qubits. More…

Topological Majorana fermion (MF) quasiparticles have been recently suggested to exist in semiconductor quantum wires with proximity induced superconductivity and a Zeeman field. Although the experimentally observed zero bias tunneling peak…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Jay D. Sau , Brian Swingle , Sumanta Tewari

Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions, which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

Superconductivity · Physics 2012-07-19 Jay D. Sau , S. Das Sarma

The surface of superconducting topological insulators (STIs) has been recognized as an effective $p\pm ip$ superconductivity platform for realizing elusive Majorana fermions. Chiral Majorana modes (CMMs), which are different from Majorana…

Superconductivity · Physics 2016-12-30 Ching-Kai Chiu , Guang Bian , Hao Zheng , Jiaxin Yin , Songtian S. Zhang , Su-Yang Xu , M. Zahid Hasan

Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 T. D. Stanescu , Sumanta Tewari

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

A topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, is shown to realize a one-dimensional topological superconductor with unpaired Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 A. Cook , M. Franz

The list of quantum mechanical systems with non-Abelian statistics has recently been expanded by including generic spin-orbit-coupled semiconductors e.g., InAs) in proximity to a s-wave superconductor. Demonstration of the anyonic…

Strongly Correlated Electrons · Physics 2011-08-24 Jay D. Sau , Sumanta Tewari , S. Das Sarma

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

We calculate the spatially resolved tunneling conductance of topological superconductors (TSCs) based on ferromagnetic chains, measured by means of spin-polarised scanning tunneling microscopy (SPSTM). Our analysis reveals novel signatures…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 Panagiotis Kotetes , Daniel Mendler , Andreas Heimes , Gerd Schön

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

Despite extensive experimental efforts over the past two decades, the quest for Majorana fermions in superconductors remains inconclusive. We propose an experimental method that can conclusively confirm, or rule out, the existence of these…

Mesoscale and Nanoscale Physics · Physics 2024-03-29 S. Forstner , H. Choi , G. I. Harris , A. Sawadsky , W. P. Bowen , C. G. Baker

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

Magnet-superconductor hybrid (MSH) systems are a key platform for custom-designed topological superconductors. Ideally, the ends of a one-dimensional MSH structure will host Majorana zero-modes (MZMs), the fundamental unit of topological…

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

Superconductivity · Physics 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

Majorana bound states are zero-energy states predicted to emerge in topological superconductors and intense efforts seeking a definitive proof of their observation are still ongoing. A standard route to realize them involves antagonistic…

Strongly Correlated Electrons · Physics 2021-12-14 Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss , Silas Hoffman

The remarkable properties and potential applications of Majorana fermions have led to considerable efforts in recent years to realize topological matters that host these excitations. For a number-conserving system, there have been a few…

Quantum Gases · Physics 2019-01-10 X. Y. Yin , Tin-Lun Ho , Xiaoling Cui