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Majorana zero modes (MZMs), promising for topological quantum computation, are naturally hosted in vortices of two-dimensional topological superconductors (TSCs). However, precise control and braiding of these vortex-bound MZMs remains a…

We propose and characterize a new class of Majorana boundary states, i.e., floating Majorana edge bands (FMEBs), which emerge in two-dimensional (2D) superconductors that break time-reversal symmetry yet host helical-like transport. In…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Yanmiao Han , Yu-Hao Wan , Zhaoqin Cao , Rundong Zhao , Qing-Feng Sun

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

Vortices in chiral topological superconductors are known for trapping Majorana zero modes as a signature response to their bulk-state topologies. In this work, we establish a similar bulk-vortex correspondence for two-dimensional…

Strongly Correlated Electrons · Physics 2022-08-04 Rui-Xing Zhang

The realization of robust Majorana zero modes (MZMs), a cornerstone for fault-tolerant quantum computing, is hindered by the challenge of creating a platform that simultaneously offers a large topological gap, high tunability, and…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Xiao-Hong Pan , Si-Qi Yu , Li Chen , Fu-Chun Zhang , Xin Liu

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

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

In this work we address the problem of realizing a reliable quantum memory based on zero-energy Majorana modes in the presence of experimental constraints on the operations aimed at recovering the information. In particular, we characterize…

Quantum Physics · Physics 2016-06-29 Matteo Ippoliti , Matteo Rizzi , Vittorio Giovannetti , Leonardo Mazza

A two-dimensional time-reversal symmetric topological superconductor is a fully gapped system possessing a helical Majorana mode on the edges. This helical Majorana edge mode (HMEM), which is a Kramer's pair of two chiral Majorana edge…

Superconductivity · Physics 2018-09-12 Yingyi Huang , Ching-Kai Chiu

The 1D Kitaev model in the topological phase, with open boundary conditions, hosts strong Majorana zero modes. These are fermion parity-odd operators that almost commute with the Hamiltonian and manifest in long coherence times for edge…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Loredana M. Vasiloiu , Apoorv Tiwari , Jens H. Bardarson

To confirm the Majorana signatures, significant effort has been devoted to distinguishing between Majorana zero modes (MZMs) and spatially separated quasi-Majorana modes (QMMs). Because both MZMs and QMMs cause a quantized zero-bias peak in…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Donghao Liu , Zhan Cao , Xin Liu , Hao Zhang , Dong E. Liu

Topology-related ideas might lead to noise-resilient quantum computing. For example, it is expected that the slow spatial exchange (`braiding') of Majorana zero modes in superconductors yields quantum gates that are robust against disorder.…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Péter Boross , András Pályi

Mesoscopic superconducting islands hosting Majorana zero modes (MZMs), or Majorana islands in short, offer a prototype of topological qubits. In this work we investigate theoretically the model of a generic Majorana island tunneling-coupled…

Mesoscale and Nanoscale Physics · Physics 2024-10-08 Jin-Xing Hou , Alex Westström , Rui Wang , Wen-Li Yang , Jian Li

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

The realization of quantum gates in topological quantum computation still confronts significant challenges in both fundamental and practical aspects. Here, we propose a deterministic and fully topologically protected measurement-based…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Su-Qi Zhang , Jian-Song Hong , Yuan Xue , Xun-Jiang Luo , Li-Wei Yu , Xiong-Jun Liu , Xin Liu

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie

The non-Abelian statistics of Majorana zero modes (MZMs) are central to fault-tolerant topological quantum computing. Planar Josephson junctions provide a particularly versatile platform for realizing robust topological superconductivity…

Superconductivity · Physics 2026-01-29 Richang Huang , Yongliang Hu , Xianzhang Chen , Peng Yu , Siwei Tan , Igor Zutic , Tong Zhou

Superconducting proximity pairing in helical edge modes, such as those of topological insulators (TI), is predicted to provide a unique platform for realizing Majorana zero modes (MZMs). We use scanning tunneling microscopy measurements to…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Berthold Jäck , Yonglong Xie , Jian Li , Sangjun Jeon , B. Andrei Bernevig , Ali Yazdani

Current proposals for topological quantum computation (TQC) based on Majorana zero modes (MZM) have mostly been focused on coupled-wire architecture which can be challenging to implement experimentally. To explore alternative building…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Aidan Winblad , Hua Chen
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