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In a variety of rare-earth based compounds singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of zero-energy Majorana modes. In the limit of…

介观与纳米尺度物理 · 物理学 2013-05-30 Ivar Martin , Alberto F. Morpurgo

We show that standard impurities, magnetic or nonmagnetic, weak or strong, can cause topological phase transitions inside the vortex cores of a conventional s-wave superconductor. Because of the nonzero angular momentum of Cooper pairs in…

超导电性 · 物理学 2020-10-20 Shengshan Qin , Chen Fang , Fu-chun Zhang , Jiangping Hu

The search for a Majorana Fermion has been an area of intense interest in condensed matter research of late. This elusive particle, predicted to exist in 1937, has been sought after for both fundamental and practical reasons. On the…

超导电性 · 物理学 2013-08-20 Aaron Farrell

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

介观与纳米尺度物理 · 物理学 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of…

介观与纳米尺度物理 · 物理学 2025-05-15 Jasmin Bedow , Dirk K. Morr

A Dirac-type matrix equation governs surface excitations in a topological insulator in contact with an s-wave superconductor. The order parameter can be homogenous or vortex valued. In the homogenous case a winding number can be defined…

强关联电子 · 物理学 2011-09-13 C. Chamon , R. Jackiw , Y. Nishida , S. -Y. Pi , L. Santos

Magnetic skyrmions in proximity to superconductors offer a route to engineering topological superconductivity due to the synthetic spin-orbit coupling engendered by the spin twist of the skyrmion texture. Previous theoretical works show…

超导电性 · 物理学 2026-02-11 Bastien Fajardo , T. Pereg-Barnea , Arun Paramekanti , Kartiek Agarwal

Majorana zero modes (MZMs) emerge as edge states in topological superconductors and are promising for topological quantum computation, but their detection has so far been elusive. Here we show that non-Hermiticity can be used to obtain…

超导电性 · 物理学 2023-08-25 R. Arouca , Jorge Cayao , Annica M. Black-Schaffer

Many clever routes to Majorana fermions have been discovered by exploiting the interplay between superconductivity and band topology in metals and insulators. However, realizations in semimetals remain less explored. We ask, ``under what…

强关联电子 · 物理学 2022-06-27 Rauf Giwa , Pavan Hosur

We discuss the emergence of zero-energy Majorana modes in a disordered finite-length p-wave one-dimensional superconducting ring, pierced by a magnetic flux $\Phi$ tuned at an appropriate value $\Phi=\Phi_*$. In the absence of fermion…

强关联电子 · 物理学 2017-05-01 Andrea Nava , Rosa Giuliano , Gabriele Campagnano , Domenico Giuliano

A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes and holds a promise for topological quantum computing. Yet, most experiments scrutinizing these…

介观与纳米尺度物理 · 物理学 2023-09-26 Pei-Xin Shen , Vivien Perrin , Mircea Trif , Pascal Simon

We investigate the effect of correlated disorder on Majorana zero modes (MZMs) bound to magnetic vortices in two-dimensional topological superconductors. By starting from a lattice model of interacting fermions with a $p_x \pm i p_y$…

超导电性 · 物理学 2021-07-21 Casey Christian , Eugene F. Dumitrescu , Gábor B. Halász

Superconducting materials exhibiting topological properties are emerging as an exciting platform to realize fundamentally new excitations from topological quantum states of matter. In this work, we explore the possibility of a field-free…

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…

超导电性 · 物理学 2021-04-07 V. Vadimov , T. Hyart , J. L. Lado , M. Möttönen , T. Ala-Nissila

We explore Majorana zero modes bound to a vortex line in a three dimensional topological superconductor model, focusing our attention on the validity of the index theorem previously derived. We first solve the Bogoliubov-de Gennes equation…

超导电性 · 物理学 2010-06-21 T. Fukui

Electronic states within superconducting vortices hold crucial information about paring mechanisms and topology. While scanning tunneling microscopy/spectroscopy(STM/S) can image the vortices, it is difficult to isolate the intrinsic…

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

超导电性 · 物理学 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

The possible realization of Majorana fermions as quasiparticle excitations in condensed matter physics has created much excitement. Most recent studies have focused on Majorana bound states which can serve as topological qubits. More…

It is well known that non-Abelian Majorana zero modes (MZM) harbor at vortex cores in a $p_{x}+\text{i}p_{y}$ topological superconductor, which can be realized in a 2D spin-orbit coupled system with a single Fermi surface and by proximity…

超导电性 · 物理学 2017-07-31 Cheung Chan , Lin Zhang , Ting Fung Jeffrey Poon , Ying-Ping He , Yan-Qi Wang , Xiong-Jun Liu

Noncentrosymmetric superconductors (NCSs), characterized by antisymmetric spin-orbit coupling and a mixture of spin-singlet and spin-triplet pairing components, are promising candidate materials for topological superconductivity. An…

超导电性 · 物理学 2014-11-11 Po-Yao Chang , Shunji Matsuura , Andreas P. Schnyder , Shinsei Ryu