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Majorana zero-modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by…

Superconductivity · Physics 2019-04-17 C. W. J. Beenakker , P. Baireuther , Y. Herasymenko , I. Adagideli , Lin Wang , A. R. Akhmerov

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

Superconductivity · Physics 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon

Recent advances in electron spin resonance techniques have allowed the manipulation of the spin of individual atoms, making magnetic atomic chains on superconducting hosts one of the most promising platform where topological…

Majorana quasi-particles may arise as zero-energy bound states in vortices on the surface of a topological insulator that is proximitized by a conventional superconductor. Such a system finds its natural realization in the iron-based…

Superconductivity · Physics 2021-03-24 Vedangi Pathak , Stephan Plugge , Marcel Franz

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

Quantum engineering of topological superconductors and of the ensuing Majorana zero modes might hold the key for realizing a new paradigm for the implementation of topological quantum computing and topology-based devices.…

Second-order topological superconductors (SOTSs) host localized Majorana fermions and provide a new platform for topological quantum computation. We propose a remarkable and feasible way to realize networks based on SOTSs which allow to…

Superconductivity · Physics 2020-09-16 Song-Bo Zhang , Alessio Calzona , Björn Trauzettel

We describe scanning tunneling spectroscopic signatures of Majorana zero modes (MZMs) in Kitaev spin liquids. The tunnel conductance is determined by the dynamical spin correlations of the spin liquid, which we compute exactly, and by…

Strongly Correlated Electrons · Physics 2023-02-24 Tim Bauer , Lucas R. D. Freitas , Rodrigo G. Pereira , Reinhold Egger

We study a new type of three-dimensional topological superconductors that exhibit Majorana zero modes (MZM) protected by a magnetic group symmetry, a combined antiunitary symmetry composed of a mirror reflection and time-reversal. This new…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

The combination of a superconductor (SC) and a topological insulator (TI) nanowire was proposed as a potential candidate for realizing Majorana zero modes (MZMs). In this study, we adopt the Schr\"odinger-Poisson formalism to incorporate…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Li Chen , Xiao-Hong Pan , Zhan Cao , Dong E. Liu , Xin Liu

Topologically protected Majorana zero modes (MZMs) have attracted intense interest due to their potential application in fault-tolerant quantum computation (TQC). Graphene nanoribbons, with tunable edge terminations and compatibility with…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Shubhanshu Karoliya , Sumanta Tewari , Gargee Sharma

An antidot-pinned vortex in a three-dimensional topological insulator-superconductor platform hosts a Majorana zero mode (MZM). However, numerous Caroli-de Gennes-Matricon (CdGM) states coexist with it. We develop a general theory to study…

Superconductivity · Physics 2026-04-14 Zhibo Ren , Jukka I. Väyrynen

Majorana zero modes (MZMs) that obey the non-Abelian statistics have been intensively investigated for potential applications in topological quantum computing. The prevailing signals in tunneling experiments "fingerprinting" the existence…

Superconductivity · Physics 2020-03-27 Chaofei Liu , Cheng Chen , Xiaoqiang Liu , Ziqiao Wang , Yi Liu , Shusen Ye , Ziqiang Wang , Jiangping Hu , Jian Wang

Being motivated by intriguing phenomena such as the breakdown of conventional bulk boundary correspondence and emergence of skin modes in the context of non-Hermitian (NH) topological insulators, we here propose a NH second-order…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Arnob Kumar Ghosh , Tanay Nag

We propose a route for pinning zero-field superconducting vortices in systems which are exchange-coupled to magnetic islands and feature Rashba spin-orbit coupling. We consider islands with sizes which greatly exceed those of the vortex…

Superconductivity · Physics 2026-03-16 Panagiotis Kotetes , Brian M. Andersen

Motivated by the recent experimental realization of a minimal Kitaev chain in quantum dot systems, we present our theoretical findings on the dynamics and fusion of MZMs at or near the $``$sweet spot" $t_h = \Delta$ (where the fermionic…

Superconductivity · Physics 2024-07-31 Bradraj Pandey , Elbio Dagotto

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…

Superconductivity · Physics 2023-08-25 R. Arouca , Jorge Cayao , Annica M. Black-Schaffer

Chiral superconductors have the ability to host topologically protected Majorana zero modes which have been proposed as future qubits for topological quantum computing. The recently introduced magnet--superconductor hybrid (MSH) systems…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr

We propose that the existence of vortices in FeSe$_{1-x}$Te$_x$ with and without Majoarana zero modes (MZMs) can be explained by a heterogeneous mixture of strong topological and trivial superconducting domains, with only vortices in the…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Prashant Gupta , Jasmin Bedow , Eric Mascot , Dirk K. Morr

In superconductors, vortices induced by a magnetic field are nucleated randomly due to some random fluctuations or pinned by impurities or boundaries, impeding the development of vortex based quantum devices. Here, we propose a…

Superconductivity · Physics 2022-07-13 T. Okugawa , S. Park , P. Recher , D. M. Kennes