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Majorana zero modes are usually attributed to topological superconductors. We study a class of two-dimensional topologically trivial superconductors without chiral edge modes, which nevertheless host robust Majorana zero modes in…

Superconductivity · Physics 2017-04-07 Zhongbo Yan , Ren Bi , Zhong Wang

Two-dimensional superconductors with time-reversal symmetry have a Z_2 topological invariant, that distinguishes phases with and without helical Majorana edge states. We study the topological phase transition in a class-DIII network model,…

Mesoscale and Nanoscale Physics · Physics 2012-08-07 I. C. Fulga , A. R. Akhmerov , J. Tworzydło , B. Béri , C. W. J. Beenakker

Materials realization of chiral topological superconductivity is a crucial condition for observing and manipulating Majorana fermions in condensed matter physics. Here we develop a tight-binding description of Pb$_3$Bi/Ge(111), identified…

Superconductivity · Physics 2021-06-30 Shuwen Sun , Wei Qin , Leiqiang Li , Zhenyu Zhang

Spin-triplet chiral p-wave superconductivity is typically described by a two-component order parameter, and as such is prone to unique emergent effects when compared to the standard single-component superconductors. Here we present the…

Superconductivity · Physics 2018-01-03 L. -F. Zhang , L. Covaci , M. V. Milošević

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

The search for topological superconductors and non-Abelian Majorana modes ranks among the most fascinating topics in condensed matter physics. There now exist several fundamental superconducting phases which host symmetry protected or…

Superconductivity · Physics 2017-05-23 Cheung Chan , Xiong-Jun Liu

Topological phases are characterised by a topological invariant that remains unchanged by deformations in the Hamiltonian. Materials exhibiting topological phases include topological insulators, superconductors exhibiting strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-07-08 Dimitrie Culcer , Attila Geresdi

The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their construction. In particular, we make use of a locally…

Analysis of PDEs · Mathematics 2021-01-07 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Sanghyeon Yu

The electronic structure of cuprate superconductors is studied within the kinetic energy driven superconducting mechanism in the presence of the out-of-plane impurities. With increasing the impurity concentration, although both…

Superconductivity · Physics 2009-08-18 Zhi Wang , Shiping Feng

Topological superconductors possess a nodeless superconducting gap in the bulk and gapless zero energy modes, known as "Majorana zero modes", at the boundary of a finite system. In this work, we introduce a new class of topological…

Superconductivity · Physics 2016-01-20 Qing-Ze Wang , Chao-Xing Liu

According to the general classification of topological insulators, there exist one-dimensional chirally (sublattice) symmetric systems that can support any number of topological phases. We introduce a zigzag fermion chain with spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2011-10-12 Jukka I. Väyrynen , Teemu Ojanen

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Anna Keselman , Erez Berg

We investigate the topological phases of two one-dimensional (1D) interacting superconducting wires and propose topological markers directly measurable from ground state correlation functions. These quantities remain powerful tools in the…

Strongly Correlated Electrons · Physics 2023-05-03 Frederick del Pozo , Loïc Herviou , Karyn Le Hur

Chains of magnetic impurities placed on a superconducting substrate and forming helical spin order provide a promising venue for realizing a topological superconducting phase. An effective tight-binding description of such helical Shiba…

Mesoscale and Nanoscale Physics · Physics 2014-06-12 Falko Pientka , Leonid I. Glazman , Felix von Oppen

We study one dimensional (1D) and quasi-1D periodic structures as possible platforms for the emergence of Majorana bound states with enhanced robustness against disorder and system inhomogeneity. First, using a simple 1D model, we…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Benjamin D. Woods , Tudor D. Stanescu

In this letter, we investigate topological phases of full-gapped odd-parity superconductors, which are distinguished by the bulk topological invariants and the topologically protected gapless boundary states. Using the particle-hole…

Superconductivity · Physics 2010-10-20 Masatoshi Sato

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

In the presence of both space and time reversal symmetries, an s-wave A1g superconducting state is usually topologically trivial. Here we demonstrate that an exception can take place in a type of nonsymmorphic lattice structures. We specify…

Superconductivity · Physics 2022-02-17 Shengshan Qin , Chen Fang , Fu-Chun Zhang , Jiangping Hu

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

A one dimensional time reversal symmetric topological superconductor (symmetry class DIII) features a single Kramers pair of Majorana bound states at each of its ends. These holographic quasiparticles are non-Abelian anyons that obey…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Jan Carl Budich , Eddy Ardonne
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