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Majorana fermions often coexist with other low-energy fermionic degrees of freedom. In such situation, topological quantum computation requires the use of fermionic zero modes of a many-body system. We classify all such modes for…

超导电性 · 物理学 2015-06-18 Guang Yang , D. E. Feldman

Manipulation of decoupled Majorana zero modes (MZMs) could enable topologically-protected quantum computing. However, the practical realization of a large number of perfectly decoupled MZMs needed to perform nontrivial quantum computation…

介观与纳米尺度物理 · 物理学 2024-02-20 D. B. Karki , K. A. Matveev , Ivar Martin

We analyze a system in which a topological Majorana zero mode (tMZM) combines with a Majorana produced by quantum frustration (fMZM) to produce a novel ground state. The system that we study combines two parts, a grounded topological…

强关联电子 · 物理学 2020-07-08 Gu Zhang , Harold U. Baranger

We investigate the realization of a topological superconductor in a generic bucked honeycomb system equipped with four types of mass-generating terms, where the superconductor gap is introduced by attaching the honeycomb system to an…

超导电性 · 物理学 2015-02-26 Motohiko Ezawa

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

Exploiting the peculiar properties of proximity-induced superconductivity on the surface of a topological insulator, we propose a device which allows the creation of a Majorana fermion inside the core of a pinned Abrikosov vortex. The…

介观与纳米尺度物理 · 物理学 2011-08-19 A. L. Rakhmanov , A. V. Rozhkov , Franco Nori

We propose an experimental setup of an interferometer for the observation of neutral Majorana fermions on topological insulator - superconductor - ferromagnet junctions. We show that the extended lattice defects naturally present in…

介观与纳米尺度物理 · 物理学 2011-08-02 Andrej Mesaros , Stefanos Papanikolaou , Jan Zaanen

We propose a theoretical approach based on an interferometer composed by two quantum dots asymmetrically coupled to isolated Majorana quasiparticles (MQPs), lying on the edges of two topological Kitaev chains, respectively via couplings…

介观与纳米尺度物理 · 物理学 2016-11-15 F. A. Dessotti , L. S. Ricco , Y. Marques , L. H. Guessi , M. Yoshida , M. S. Figueira , M. de Souza , Pasquale Sodano , A. C. Seridonio

Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise.…

量子物理 · 物理学 2022-11-22 Marko J. Rančić

We numerically investigate non-Abelian braiding dynamics of vortices in two-dimensional topological superconductors, such as $s$-wave superconductors with Rashba spin-orbit coupling. Majorana zero modes (MZMs) hosted by the vortices…

超导电性 · 物理学 2021-02-16 Takumi Sanno , Shunsuke Miyazaki , Takeshi Mizushima , Satoshi Fujimoto

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

超导电性 · 物理学 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

介观与纳米尺度物理 · 物理学 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

Coupling Majorana fermion excitations to coherent external fields is an important stage towards their manipulation and detection. We analyse the charge and transmon regimes of a topological nano-wire embedded within a Cooper-Pair-Box, where…

介观与纳米尺度物理 · 物理学 2014-09-16 Eran Ginossar , Eytan Grosfeld

We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the…

介观与纳米尺度物理 · 物理学 2020-10-06 J. Avila , E. Prada , P. San-Jose , R. Aguado

Majorana bound states (MBS) differ from the regular zero energy Andreev bound states in their nonlocal properties, since two MBS form a single fermion. We design strategies for detection of this nonlocality by using the phenomenon of…

介观与纳米尺度物理 · 物理学 2016-09-28 S. Rubbert , A. R. Akhmerov

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

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

介观与纳米尺度物理 · 物理学 2022-01-26 Omri Lesser , Yuval Oreg

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. Considering the fact that the…

介观与纳米尺度物理 · 物理学 2020-10-27 Wenqin Chen , Jiachen Wang , Yijia Wu , Jie Liu , X. C. Xie

Proposals for realizing Majorana fermions in condensed matter systems typically rely on magnetic fields, which degrade the proximitizing superconductor and plague the Majoranas' detection. We propose an alternative scheme to realize…

介观与纳米尺度物理 · 物理学 2021-03-31 Omri Lesser , Karsten Flensberg , Felix von Oppen , Yuval Oreg

For the search of Majorana fermions, we propose to employ a ramp-type Josephson edge junction between a normal metal such as Au, Ag or alloys of heavy metals and a topologically-trivial dx2-y2 wave high-Tc superconductor YBa2Cu3O7. The…

超导电性 · 物理学 2013-06-24 Chang C. Tsuei