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The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

In the presence of an applied magnetic field introducing Zeeman spin splitting, a superconducting (SC) proximitized one-dimensional (1D) nanowire with spin-orbit coupling can pass through a topological quantum phase transition developing…

Mesoscale and Nanoscale Physics · Physics 2017-08-07 Ching-Kai Chiu , Jay D. Sau , S. Das Sarma

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

Topological superconductivity can be engineered in semiconductors with strong spin-orbit interaction coupled to a superconductor. Experimental advances in this field have often been triggered by the development of new hybrid material…

Majorana zero modes, with prospective applications in topological quantum computing, are expected to arise in superconductor/semiconductor interfaces, such as $\beta$-Sn and InSb. However, proximity to the superconductor may also adversely…

Topological superconductors (TSCs) are correlated quantum states with simultaneous off-diagonal long-range order and nontrivial topological invariants. They produce gapless or zero energy boundary excitations, including Majorana zero modes…

Superconductivity · Physics 2021-03-05 Yi Zhang , Kun Jiang , Fuchun Zhang , Jian Wang , Ziqiang Wang

Non-abelian anyons are highly desired for topological quantum computation purposes, with Majorana fermions providing a promising route, particularly zero modes with non-trivial mutual statistics. Yet realizing Majorana zero modes in matter…

Strongly Correlated Electrons · Physics 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

The idea of topological quantum computation (TQC) is to store and manipulate quantum information in an intrinsically fault-tolerant manner by utilizing the physics of topologically ordered phases of matter. Currently, one of the most…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 Maissam Barkeshli , Jay D. Sau

We demonstrate how the non-trivial interplay between spin-orbit coupling and nodeless $s$-wave superconductivity can drive a fully gapped two-band topological insulator into a time-reversal invariant gapless topological superconductor…

Superconductivity · Physics 2014-04-29 Shusa Deng , Gerardo Ortiz , Amrit Poudel , Lorenza Viola

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 report a novel growth mechanism that produces in-plane [1-10] oriented ErSb nanowires formed during codeposition of Er0.3Ga0.7Sb via molecular beam epitaxy (MBE). Nanowires are characterized by in-situ scanning tunneling microscopy…

We investigate the role of the coupling between a spin-orbit coupled semiconductor nanowire and a conventional $s$-wave superconductor on the emergence of the topological superconducting phase with Majorana bound states in an applied…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Oladunjoye A. Awoga , Jorge Cayao , Annica M. Black-Schaffer

Engineering effective p-wave superconductors hosting Majorana quasiparticles (MQPs) is nowadays of particular interest, also in view of the possible utilization of MQPs in fault-tolerant topological quantum computation. In quasi…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Magdalena Marganska , Lars Milz , Wataru Izumida , Christoph Strunk , Milena Grifoni

In-plane semiconductor nanowires with complex branched geometries, prepared via selective area growth (SAG), offer a versatile platform for advanced electronics, optoelectronics, and quantum devices. However, defects and disorder at the…

Mesoscale and Nanoscale Physics · Physics 2025-05-12 Pradip Adhikari , Anjali Rathore , Dayrl P Briggs , Srijanto R Bernadeta , Joon Sue Lee

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the Kitaev chains. The system undergoes…

Superconductivity · Physics 2014-05-26 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

Majorana zero modes are quasiparticle states localized at the boundaries of topological superconductors that are expected to be ideal building blocks for fault-tolerant quantum computing. Several observations of zero-bias conductance peaks…

Full-shell nanowires have been proposed as an alternative nanowire design in the search of topological superconductivity and Majorana zero modes (MZMs). They are hybrid nanostructures consisting of a semiconductor core fully covered by a…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Carlos Payá , Samuel D. Escribano , Andrea Vezzosi , Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

Majorana fermions in some model semiconductor nanowires proximity coupled with \emph{s}-wave superconductor have been investigated, as well as other intragap bound states in topological phase of a Rashba nanowire with non-uniform spin-orbit…

Superconductivity · Physics 2021-11-11 Zhen-Hua Wang , Eduardo V. Castro , Hai-Qing Lin

Topological quantum computation provides an elegant way around decoherence, as one encodes quantum information in a non-local fashion that the environment finds difficult to corrupt. Here we establish that one of the key…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jason Alicea , Yuval Oreg , Gil Refael , Felix von Oppen , Matthew P. A. Fisher