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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…

强关联电子 · 物理学 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

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…

介观与纳米尺度物理 · 物理学 2022-12-21 Pasquale Marra

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

介观与纳米尺度物理 · 物理学 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

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…

超导电性 · 物理学 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

超导电性 · 物理学 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi$_2$Se$_3$. Upon the…

超导电性 · 物理学 2017-08-23 Vo Tien Phong , Niels R. Walet , Francisco Guinea

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…

We propose the concept of a device based on a square-shaped sample of a two-dimensional second-order topological helical superconductor which hosts two zero-dimensional Majorana quasiparticles at the corners. The two zero-energy modes rely…

介观与纳米尺度物理 · 物理学 2020-09-23 Tudor E. Pahomi , Manfred Sigrist , Alexey A. Soluyanov

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

介观与纳米尺度物理 · 物理学 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

We study the possibility to realize Majorana zero mode that's robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work. To achieve this we first apply a uniform [111]…

强关联电子 · 物理学 2021-12-13 Lu Yang , Jia-Xing Zhang , Shuang Liang , Wei Chen , Qiang-Hua Wang

Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful…

介观与纳米尺度物理 · 物理学 2026-01-23 Themba Hodge , Tuan Kieu , Jasmin Bedow , Eric Mascot , Dirk K. Morr , Stephan Rachel

We show that topological phases should be realizable in readily available and well studied heterostructures. In particular we identify a new class of topological materials which are well known in spintronics: helical…

超导电性 · 物理学 2017-01-26 Chien-Te Wu , Brandon M. Anderson , Wei-Han Hsiao , K. Levin

One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geometric manipulations (braiding) of multiple wires can be used…

强关联电子 · 物理学 2024-07-19 Ivar Martin , Kartiek Agarwal

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

介观与纳米尺度物理 · 物理学 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

强关联电子 · 物理学 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally…

强关联电子 · 物理学 2019-07-10 Bela Bauer , T. Pereg-Barnea , Torsten Karzig , Maria-Theresa Rieder , Gil Refael , Erez Berg , Yuval Oreg

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…

介观与纳米尺度物理 · 物理学 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

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…

介观与纳米尺度物理 · 物理学 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

From our general index theorem that characterises faithfully the boundary-bulk correspondence of topological superconductors and insulators, we reveal rigorously that four topologically distinct types of Majorana zero-modes can emerge at…

强关联电子 · 物理学 2014-12-30 Y. X. Zhao , Z. D. Wang

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

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