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Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

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…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Braiding Majorana zero modes is essential for fault-tolerant topological quantum computing. Iron-based superconductors with nontrivial band topology have recently emerged as a surprisingly promising platform for creating distinct Majorana…

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

The topological properties observed in iron-based superconductors extend our understanding of vortex Majorana quasiparticle excitations in unexpected ways. Vortex Majorana physics has been extensively studied within the context of the…

Topological crystalline insulators are known to support multiple Majorana zero modes (MZMs) at a single vortex, their hybridization is forbidden by a magnetic mirror symmetry $M_T$. Due to the limited energy resolution of scanning tunneling…

Superconductivity · Physics 2024-09-23 Chun Yu Wan , Yujun Zhao , Yaoyi Li , Jinfeng Jia , Junwei Liu

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

Superconductivity · Physics 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

The vortex of iron-based superconductors is emerging as a promising platform for Majorana zero mode, owing to a magic integration among intrinsic vortex winding, non-trivial band topology, strong electron-electron correlations, high-Tc…

Superconductivity · Physics 2021-08-31 Lingyuan Kong , Hong Ding

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

A hybrid semiconductor-superconductor nanowire on the top of a magnetic film in the stripe phase experiences a magnetic texture from the underlying fringing fields. The Zeeman interaction with the highly inhomogeneous magnetic textures…

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

We propose theoretically an effective scheme for braiding Majorana bound states by manipulating the point potential. The vortex pinning effect is carefully elucidated. This effect may be used to control the vortices and Majorana bound…

Superconductivity · Physics 2017-11-15 Hai-Dan Wu , Tao Zhou

We numerically investigate non-Abelian braiding dynamics of vortices in two-dimensional topological superconductors, such as $s$-wave superconductors with Rashba spin-orbit coupling. Majorana zero modes (MZMs) hosted by the vortices…

Superconductivity · Physics 2021-02-16 Takumi Sanno , Shunsuke Miyazaki , Takeshi Mizushima , Satoshi Fujimoto

The Majorana zero mode (MZM), which manifests as an exotic neutral excitation in superconductors, is the building block of topological quantum computing. It has recently been found in the vortices of several iron-based superconductors as a…

Superconductivity · Physics 2019-04-11 C. Chen , Q. Liu , T. Z. Zhang , D. Li , P. P. Shen , X. L. Dong , Z. -X. Zhao , T. Zhang , D. L. Feng

Full-shell nanowires have been proposed as an alternative nanowire design in the search of topological superconductivity and Majorana zero modes (MZMs). They are hybrid nanostructures consisting of a semiconductor core fully covered by a…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Carlos Payá , Samuel D. Escribano , Andrea Vezzosi , Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

Majorana zero mode is an exotic quasi-particle excitation with non-Abelian statistics in topological superconductor systems, and can serve as the cornerstone for topological quantum computation, a new type of fault-tolerant quantum…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

We theoretically investigate the possibility of obtaining Majorana zero modes (MZMs) in penta-silicene nanoribbons (p-SiNRs) with induced \textit{p}-wave superconductivity. The model explicitly considers an external magnetic field…

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

Superconductivity · Physics 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma