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We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes [Deng et al. Science 354 1557 (2016) and…

介观与纳米尺度物理 · 物理学 2018-10-24 Corneliu Malciu , Leonardo Mazza , Christophe Mora

The interplay of disorder and short finite wire length is the crucial physics hindering progress in the semiconductor-superconductor nanowire platform for realizing non-Abelian Majorana zero modes (MZM). Disorder effectively segments the…

介观与纳米尺度物理 · 物理学 2024-08-05 Haining Pan , Sankar Das Sarma

The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

介观与纳米尺度物理 · 物理学 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

It is predicted that a vortex in a topological superconductor contains a Majorana zero mode (MZM). The confirmative Majorana signature, i.e., the $2e^2/h$ quantized conductance, however is easily sabotaged by unavoidable interruptions, e.g.…

超导电性 · 物理学 2023-07-11 Gu Zhang , Chuang Li , Geng Li , Can-Li Song , Xin Liu , Fu-Chun Zhang , Dong E. Liu

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…

超导电性 · 物理学 2026-03-16 Panagiotis Kotetes , Brian M. Andersen

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

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…

介观与纳米尺度物理 · 物理学 2023-09-25 Li Chen , Xiao-Hong Pan , Zhan Cao , Dong E. Liu , Xin Liu

The issue on the effect of interactions in topological states concerns not only interacting topological phases but also novel symmetry-breaking phases and phase transitions. Here we study the interaction effect on Majorana zero modes (MZMs)…

强关联电子 · 物理学 2018-10-31 Y. Kamiya , A. Furusaki , J. C. Y. Teo , G. -W. Chern

We examine properties of the mean-field wave function of the one-dimensional Kitaev model supporting Majorana Zero Modes (MZMs) \emph{when restricted} to a fixed number of particles. Such wave functions can in fact be realized as exact…

超导电性 · 物理学 2023-09-04 Rohith Sajith , Kartiek Agarwal , Ivar Martin

We study the emergence of Majorana zero modes (MZMs) at the ends of a finite double zigzag honeycomb nanoribbon (zHNR). We show that a double zHNR geometry can host spin-polarized MZMs at its ends. We considered a minimal model composed by…

介观与纳米尺度物理 · 物理学 2021-08-18 R. C. Bento Ribeiro , J. H. Correa , L. S. Ricco , A. C. Seridonio , M. S. Figueira

We show that corner Majorana zero modes in a two-dimensional $p+id$ topological superconductor can be controlled by the manipulation of the parent $p-$wave superconducting order. Assuming that the $p$-wave superconducting order is in either…

超导电性 · 物理学 2022-02-09 Morten Amundsen , Vladimir Juričić

Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at…

介观与纳米尺度物理 · 物理学 2023-09-26 Wei Feng , Lupei Qin , Xin-Qi Li

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

介观与纳米尺度物理 · 物理学 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

超导电性 · 物理学 2015-10-28 Tianyu Liu , M. Franz

We present a new measurement-based scheme for performing braiding operations on Majorana zero modes and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme, the topological qubit encoded in any pair…

介观与纳米尺度物理 · 物理学 2017-01-04 Sagar Vijay , Liang Fu

We propose a scheme to braid Majorana zero modes (MZMs) through steering the spin degree of freedom, without moving, measuring, or more generically fusing the modes. For a spinful Majorana system, we show that braiding two MZMs is achieved…

介观与纳米尺度物理 · 物理学 2018-04-17 Xun-Jiang Luo , Ying-Ping He , Ting Fung Jeffrey Poon , Xin Liu , Xiong-Jun Liu

Proximity induced superconducting energy gap in the surface states of topological insulators has been predicted to host the much wanted Majorana fermions for fault tolerant quantum computation. Recent theoretically proposed architectures…

介观与纳米尺度物理 · 物理学 2018-11-26 Biplab Bhattacharyya , V. P. S. Awana , T. D. Senguttuvan , V. N. Ojha , Sudhir Husale

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

A semiconducting nanowire with strong Rashba coupling and in proximity of a superconductor hosts Majorana edge modes. An array of such nanowires with inter-wire coupling gives an approximate description of a two-dimensional topological…

介观与纳米尺度物理 · 物理学 2021-01-08 Deepti Rana , Goutam Sheet

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…

介观与纳米尺度物理 · 物理学 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz