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Topological superconductivity in quasi-one-dimensional systems is a novel phase of matter with possible implications for quantum computation. Despite years of effort, a definitive signature of this phase in experiments is still debated. A…

Mesoscale and Nanoscale Physics · Physics 2021-07-12 Omri Lesser , Andrew Saydjari , Marie Wesson , Amir Yacoby , Yuval Oreg

We investigate the one-dimensional $p$-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the…

Superconductivity · Physics 2016-10-25 Yi Gao , Tao Zhou , Huaixiang Huang , Ran Huang

We propose and investigate a new platform for the realization of Majorana zero modes in a thin-film heterostructure composed of an easy-plane ferromagnet and a superconductor with spin-orbit coupling. The system can support an energetically…

Superconductivity · Physics 2023-01-04 Vedangi Pathak , Sayak Dasgupta , Marcel Franz

Topological superconductors are a class of unconventional superconducting materials featuring sub-gap zero-energy Majorana bound modes that hold promise as a building block for topological quantum computing. In this work, we study the…

Superconductivity · Physics 2023-10-30 Zi-Ming Wang , Meng Zeng , Chen Lu , Da-Shuai Ma , Rui-Xing Zhang , Lun-Hui Hu , Dong-Hui Xu

A topological superconductor is characterized by having a pairing gap in the bulk and gapless self-hermitian Majorana modes at its boundary. In one dimension, these are zero-energy modes bound to the ends, while in two dimensions these are…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Arbel Haim , Yuval Oreg

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

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

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 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

Realizing Majorana modes (MMs) in condensed-matter systems is of vast experimental and theoretical interests, and some signatures of MMs have been measured already. To facilitate future experimental observations and to explore further…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Qing-Jun Tong , Jun-Hong An , Jiangbin Gong , Hong-Gang Luo , C. H. Oh

A number of recent works have discussed the issue of spin polarization of a Majorana zero mode in condensed matter systems. Here we show that the spin polarization density of a Majorana zero mode, computed as an average of the spin operator…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 Tudor D. Stanescu , Sumanta Tewari

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 present calculations of Majorana edge modes in cylindrical nanowires of a semiconductor material with proximity-induced superconductivity. We consider a Rashba field along the transverse direction and an applied magnetic field in…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jong Soo Lim , Rosa López , Llorenç Serra

Recent experimental advances in the field of cold atoms led to the development of novel techniques for producing synthetic dimensions and synthetic magnetic fields, thus greatly expanding the utility of cold atomic systems for exploring…

Quantum Gases · Physics 2018-03-28 Or Golan , Eran Sela , Kirill Shtengel

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero bias peaks in the tunneling spectroscopy. We study whether these zero modes can persist in an array…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Da Wang , Zhoushen Huang , Congjun Wu

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Majorana modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor, several tunneling…

We consider a new model system supporting Majorana zero modes based on semiconductor nanowires with a full superconducting shell. We demonstrate that, in the presence of spin-orbit coupling in the semiconductor induced by a radial electric…

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

Majorana fermions are spin-1/2 neutral particles that are their own antiparticles and were initially predicted by Ettore Majorana in particle physics but their observation still remains elusive. The concept of Majorana fermions has been…

Superconductivity · Physics 2024-05-07 Yukio Tanaka , Shun Tamura , Jorge Cayao