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The idea of topological quantum computation (TQC) is to store and manipulate quantum information in an intrinsically fault-tolerant manner by utilizing the physics of topologically ordered phases of matter. Currently, one of the most…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 Maissam Barkeshli , Jay D. Sau

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

A quasi-1D superconductor with odd number of Fermi surfaces is expected to exhibit a nondegenerate Majorana bound state at the Fermi level at its boundary with an insulator (where the latter could be an actual insulator material or vacuum,…

Superconductivity · Physics 2021-10-27 Maxim Kharitonov , Ewelina M. Hankiewicz , Björn Trauzettel , F. Sebastian Bergeret

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Non-Abelian anyons such as Majorana zero modes (MZMs) have the potential to enable fault-tolerant quantum computing through topological protection. Experimentally reported InSb topological superconductor nanowires (TSNW) are investigated…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Mirko Poljak

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

We present a new platform for creating Majorana bound states from 2D gapless superconducting state in spin-helical systems under the in-plane Zeeman field. Topological 1D channels are formed by quantum confinement of quasiparticles via…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Michał Papaj , Liang Fu

The relation between band topology and Majorana zero energy modes (MZMs) in topological superconductors had been well studied in the past decades. However, the relation between the quantum metric and MZMs has yet to be understood. In this…

Superconductivity · Physics 2024-11-26 Xingyao Guo , Xinglei Ma , Xuzhe Ying , K. T. Law

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

Higher-order topological superconductors host Majorana zero modes localized at corners or hinges, providing a promising route toward scalable and controllable Majorana networks without vortices or magnetic flux. Here we propose a…

Superconductivity · Physics 2026-02-06 Yongting Shi , Qing Wang , Zhen-Guo Fu , Ping Zhang , Ning Hao

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,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

We explore a scheme for engineering a one-dimensional spinless p-wave superconductor hosting unpaired Majorana zero-energy modes, using an all-electric setup with a spin-orbit coupled quantum wire in proximity to an s-wave superconductor.…

Strongly Correlated Electrons · Physics 2016-09-21 Mariana Malard , G. I. Japaridze , Henrik Johannesson

Non-Abelian toplogical superconductors are characterized by the existence of {zero-energy} Majorana fermions bound in the quantized vortices. This is a consequence of the nontrivial bulk topology characterized by an {\em odd} Chern number.…

Strongly Correlated Electrons · Physics 2013-01-14 Jian-Hua Jiang , Si Wu

We consider a model of ballistic quasi-one dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 A. A. Zyuzin , Diego Rainis , Jelena Klinovaja , Daniel Loss

The edges of a two-dimensional topological phase of matter serve as a platform underlying its low-energy dynamics. The topology of the bulk phase dictates the structure of the gapless modes. Proximitizing boundary modes to another boundary,…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Jinhong Park , Yuval Gefen

Majorana zero modes (MZMs) are promising candidates for topologically-protected quantum computing hardware, however their large-scale use will likely require quantum error correction. Majorana surface codes (MSCs) have been proposed to…

Quantum Physics · Physics 2024-07-18 Campbell McLauchlan , Benjamin Béri

Topological superconductors offer a fertile ground for realizing Majorana zero modes -- topologically protected, zero-energy quasiparticles that are resilient to local perturbations and hold great promise for fault-tolerant quantum…

The search for topological superconductors (TSCs) is one of the most urgent contemporary problems in condensed matter systems. TSCs are characterized by a full superconducting gap in the bulk and topologically protected gapless surface (or…

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 show that lattice dislocations of topological iron-based superconductors such as FeTe$_{1-x}$Se$_x$ will intrinsically trap non-Abelian Majorana quasiparticles, in the absence of any external magnetic field. Our theory is motivated by…

Superconductivity · Physics 2022-09-20 Lun-Hui Hu , Rui-Xing Zhang