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Majorana fermions are particles identical to their antiparticles proposed theoretically in 1937 by Ettore Majorana as real solutions of the Dirac equation. Alexei Kitaev suggested that Majorana particles should emerge in condensed matter…

超导电性 · 物理学 2023-10-17 Antônio Lucas Rigotti Manesco , Gabriel Weber , Durval Rodrigues

We propose a novel realization for a topologically superconducting phase hosting Majorana zero-modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free of ferromagnets. Instead, we confine helical edge…

介观与纳米尺度物理 · 物理学 2021-03-17 C. Fleckenstein , N. Traverso Ziani , A. Calzona , M. Sassetti , B. Trauzettel

We investigate the one-dimensional $p$-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the…

超导电性 · 物理学 2016-10-25 Yi Gao , Tao Zhou , Huaixiang Huang , Ran Huang

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

Recently, much research has been dedicated to understanding topological superconductivity and Majorana zero modes induced by a magnetic field in hybrid proximity structures. This paper proposes a realization of topological superconductivity…

介观与纳米尺度物理 · 物理学 2019-03-14 G. Tkachov

We theoretically study a one dimensional p-wave superconducting mesoscopic ring interrupted by a weak link and coupled inductively to a microwave cavity. We establish an input-output description for the cavity field in the presence of the…

介观与纳米尺度物理 · 物理学 2016-09-26 Olesia Dmytruk , Mircea Trif , Pascal Simon

Directly observing a zero energy Majorana state in the vortex core of a chiral superconductor by tunneling spectroscopy requires energy resolution better than the spacing between core states $\Delta^2/eF$. We show that nevertheless, its…

强关联电子 · 物理学 2008-12-30 Yaacov E. Kraus , Assa Auerbach , H. A. Fertig , Steven H. Simon

Spatial profile of the Majorana fermion wave function in a one-dimensional $p$-wave superconductors ($\cal{PWS}$) with quasi periodic disorder is shown to exhibit spatial oscillations. These oscillations damp out in the interior of the…

无序系统与神经网络 · 物理学 2017-05-26 Indubala I Satija

A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes and holds a promise for topological quantum computing. Yet, most experiments scrutinizing these…

介观与纳米尺度物理 · 物理学 2023-09-26 Pei-Xin Shen , Vivien Perrin , Mircea Trif , Pascal Simon

We calculate analytically the spectrum of the Andreev bound states in a half-infinite superconducting wire with an arbitrary number of bands crossing the chemical potential. The normal state of the wire is assumed to have an antiunitary…

超导电性 · 物理学 2020-03-11 K. V. Samokhin

To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. In analogy to the case of…

超导电性 · 物理学 2015-07-28 M. Snelder , A. A. Golubov , Y. Asano , A. Brinkman

We study a single vortex in a two-dimensional $p+ip$ Fermi superfluid interacting with a Bose-Einstein condensate. The Fermi superfluid is topologically non-trivial and hosts a zero-energy Majorana bound state at the vortex core. Assuming a…

量子气体 · 物理学 2018-12-05 Jing-Bo Wang , Wei Yi , Jian-Song Pan

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

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a 1D p-wave superconductor: those involving (i) longer range hopping and superconductivity and (ii) inhomogeneous…

超导电性 · 物理学 2013-10-08 Wade DeGottardi , Manisha Thakurathi , Smitha Vishveshwara , Diptiman Sen

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…

介观与纳米尺度物理 · 物理学 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an…

超导电性 · 物理学 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from…

介观与纳米尺度物理 · 物理学 2017-05-09 Qi Zhang , Biao Wu

We characterize the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch coordinates $\varphi, \theta, \delta$, and analyze their…

介观与纳米尺度物理 · 物理学 2021-01-04 Armando A. Aligia , Diego Pérez Daroca , Liliana Arrachea

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…

介观与纳米尺度物理 · 物理学 2022-08-29 Loredana M. Vasiloiu , Apoorv Tiwari , Jens H. Bardarson

In this paper, we establish that Majorana zero modes emerging from a topological band structure of a chain of magnetic atoms embedded in a superconductor can be distinguished from trivial localized zero energy states that may accidentally…

介观与纳米尺度物理 · 物理学 2018-03-19 Jian Li , Sangjun Jeon , Yonglong Xie , Ali Yazdani , B. Andrei Bernevig