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We consider a model of ballistic quasi-one dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 A. A. Zyuzin , Diego Rainis , Jelena Klinovaja , Daniel Loss

Using the density-matrix renormalization group, we determine the different topological phases and low-energy excitations of a time-reversal invariant topological superconducting (TRITOPS) wire with extended s-wave superconductivity, Rashba…

Superconductivity · Physics 2023-11-06 Leandro M. Chinellato , Claudio J. Gazza , Alejandro M. Lobos , Armando A. Aligia

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

An array of quantum wires is a natural starting point in realizing two-dimensional topological phases. We study a system of weakly coupled quantum wires with Rashba spin-orbit coupling, proximity coupled to a conventional s-wave…

Superconductivity · Physics 2015-06-18 Inbar Seroussi , Erez Berg , Yuval Oreg

By analytically solving the Bogoliubov-de Gennes equations we study the fermion bound states at the center of the core of a vortex in a two-dimensional superconductor. We consider three kinds of 2D superconducting models: (a) a standard…

Superconductivity · Physics 2020-11-11 Haoyun Deng , Nicholas Bonesteel , Pedro Schlottmann

The pursuit for Majorana fermions is one of the top priorities in condensed matter physics at the moment. In this work we propose a new method of fabricating Majorana Josephson devices in systems with a weak or no spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Teemu Ojanen

Protecting qubits from perturbations is a central challenge in quantum computing. Topological superconductors with separated Majorana bound states (MBSs) provide a strong form of protection that only depends on the locality of…

We present a new platform for creating Majorana bound states from 2D gapless superconducting state in spin-helical systems under the in-plane Zeeman field. Topological 1D channels are formed by quantum confinement of quasiparticles via…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Michał Papaj , Liang Fu

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in…

Mesoscale and Nanoscale Physics · Physics 2022-03-18 Lucia Vigliotti , Fabio Cavaliere , Matteo Carrega , Niccolò Traverso Ziani

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

We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

One-dimensional (1D) topological superconductivity is a state of matter that is not found in nature. However, it can be realised, for example, by inducing superconductivity into the quantum spin Hall edge state of a two-dimensional…

Spin-orbit coupled semiconducting nanowires with proximity-induced superconductivity are expected to host Majorana zero modes at their endpoints when a sufficiently strong magnetic field is applied. The resulting phase would be a…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 David J. Clarke

We study topological vortex phases in iron-based superconductors. Besides the previously known vortex end Majorana zero modes (MZMs) phase stemming from the existence of a three dimensional (3D) strong topological insulator state, we show…

Superconductivity · Physics 2019-09-05 Shengshan Qin , Lunhui Hu , Xianxin Wu , Xia Dai , Chen Fang , Fu-chun Zhang , Jiangping Hu

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here,…

Mesoscale and Nanoscale Physics · Physics 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

We demonstrate that the one-dimensional helical Majorana edges of two-dimensional time-reversal symmetric topological superconductors (class DIII) can become gapless and insulating by a combination of random edge velocity and interaction.…

Strongly Correlated Electrons · Physics 2021-02-10 Yang-Zhi Chou , Rahul M. Nandkishore

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

An external magnetic field is needed to drive a nanowire in proximity to an s-wave superconductor into a topological regime which supports Majorana end states. However, a magnetic field generally suppresses the proximity superconducting gap…

Superconductivity · Physics 2020-01-10 Ying-Ming Xie , Benjamin T. Zhou , T. K. Ng , K. T. Law

The helical electron states on the surface of topological insulators or elemental Bismuth become unstable toward superconducting pairing formation when coupled to the charge or magnetic fluctuations. The latter gives rise to pairing…

Superconductivity · Physics 2019-10-23 Hossein Hosseinabadi , Mehdi Kargarian

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