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We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

Strongly Correlated Electrons · Physics 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

Majorana boundary quasiparticles may naturally emerge in a spin-singlet superconductor with Rashba spin-orbit interactions, when a Zeeman magnetic field breaks time-reversal symmetry. Their existence and robustness against adiabatic changes…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 C. Dutreix

Realizations of Majorana fermions in solid state materials have attracted great interests recently in connection to topological order and quantum information processing. We propose a novel way to create Majorana fermions in superconductors.…

Strongly Correlated Electrons · Physics 2013-03-04 Yuan-Ming Lu , Ziqiang Wang

The search for topological superconductors which support Majorana fermion excitations has been an important topic in condensed matter physics. In this work, we propose a new experimental scheme for engineering topological superconductors.…

Superconductivity · Physics 2016-07-20 Yao Lu , Wen-Yu He , Dong-Hui Xu , Nian Lin , K. T. Law

We propose a new mechanism for topological superconductivity based on an antiferromagnetically ordered chain of magnetic atoms on the surface of a conventional superconductor. In a weak Zeeman field, a supercurrent in the substrate…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Andreas Heimes , Panagiotis Kotetes , Gerd Schön

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari

This short review article provides a pedagogical introduction to the rapidly growing research field of Majorana fermions in topological superconductors. We first discuss in some details the simplest "toy model" in which Majoranas appear,…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Martin Leijnse , Karsten Flensberg

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

Recent experiments have provided evidence that one-dimensional (1D) topological superconductivity can be realized experimentally by placing transition metal atoms that form a ferromagnetic chain on a superconducting substrate. We address…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Jian Li , Hua Chen , Ilya K. Drozdov , A. Yazdani , B. Andrei Bernevig , A. H. MacDonald

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

Due to the charge neutral and localized nature of surface Majorana modes, detection schemes usually rely on local spectroscopy or interference through the Josephson effect. Here, we theoretically study the magnetic response of a…

Superconductivity · Physics 2018-09-20 Luca Chirolli , Francisco Guinea

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

Recently, topological superconductors based on Josephson junctions in two-dimensional electron gases with strong Rashba spin-orbit coupling have been proposed as attractive alternatives to wire-based setups. Here, we elucidate how…

Superconductivity · Physics 2019-06-14 Benedikt Scharf , Falko Pientka , Hechen Ren , Amir Yacoby , Ewelina M. Hankiewicz

Theoretical studies have shown that Majorana bound states can be induced at the ends of a one dimensional wire, a phenomenon possible due to the interplay between s-wave superconductivity, spin-orbit coupling, and an external magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Aksel Kobiałka , Nicholas Sedlmayr , Andrzej Ptok

For the search of Majorana fermions, we propose to employ a ramp-type Josephson edge junction between a normal metal such as Au, Ag or alloys of heavy metals and a topologically-trivial dx2-y2 wave high-Tc superconductor YBa2Cu3O7. The…

Superconductivity · Physics 2013-06-24 Chang C. Tsuei

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

Superconductivity · Physics 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

We demonstrate that level crossings at the Fermi energy serve as robust indicators for higher-order topology in two-dimensional superconductors of symmetry class D. These crossings occur when the boundary condition in one direction is…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Hong Wang , Xiaoyu Zhu

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

Topological superfluid, new quantum matter that possesses gapless exotic excitations known as Majorana fermions, has attracted extensive attention recently. These excitations, which can encode topological qubits, could be crucial…

Quantum Gases · Physics 2016-01-18 Liang-Liang Wang , Wu-Ming Liu

Topological crystalline superconductors are known to have possible higher-order topology, which results in Majorana modes on $d-2$ or lower-dimensional boundaries. Given the rich possibilities of boundary signatures, it is desirable to have…

Superconductivity · Physics 2022-04-08 Yanzhu Chen , Sheng-Jie Huang , Yi-Ting Hsu , Tzu-Chieh Wei