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It is argued that Majorana zero modes in a system of quantum fermions can mediate a teleportation-like process with the actual transfer of electronic material between well separated points. The problem is formulated in the context of a…

其他凝聚态物理 · 物理学 2007-05-23 Gordon W. Semenoff , Pasquale Sodano

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero bias peaks in the tunneling spectroscopy. We study whether these zero modes can persist in an array…

介观与纳米尺度物理 · 物理学 2014-05-21 Da Wang , Zhoushen Huang , Congjun Wu

Zero-energy Majorana bound states in superconductors have been proposed to be potential building blocks of a topological quantum computer, because quantum information can be encoded in the fermion occupation of a pair of {\it spatially…

介观与纳米尺度物理 · 物理学 2013-05-29 Liang Fu

Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length $L$ possesses two ground states with an energy…

介观与纳米尺度物理 · 物理学 2009-10-31 Alexei Kitaev

We show that long-ranged superconducting order is not necessary to guarantee the existence of Majorana fermion zero modes at the ends of a quantum wire. We formulate a concrete model which applies, for instance, to a semiconducting quantum…

强关联电子 · 物理学 2013-05-29 Lukasz Fidkowski , Roman M. Lutchyn , Chetan Nayak , Matthew P. A. Fisher

A one-dimensional topological superconductor features a single fermionic zero mode that is delocalized over two Majorana bound states located at the ends of the system. We study a pair of spatially separated nanomechanical oscillators…

介观与纳米尺度物理 · 物理学 2014-04-30 Stefan Walter , Jan Carl Budich

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,…

强关联电子 · 物理学 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

介观与纳米尺度物理 · 物理学 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

超导电性 · 物理学 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

It was predicted by Tewari [Phys. Rev. Lett. {\bf 100}, 027001 (2008)] that a teleportationlike electron transfer phenomenon is one of the novel consequences of the existence of Majorana fermion, because of the inherently nonlocal nature.…

介观与纳米尺度物理 · 物理学 2023-09-26 Peiyue Wang , Yunshan Cao , Ming Gong , Shu-Shen Li , Xin-Qi Li

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance…

介观与纳米尺度物理 · 物理学 2020-07-23 Zheng Shi , Piet W. Brouwer , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

We study the sudden quench of a one-dimensional p-wave superconductor through its topological signature in the entanglement spectrum. The long-time evolution of the system and its topological characterization depend on a pseudomagnetic…

介观与纳米尺度物理 · 物理学 2014-01-21 Ming-Chiang Chung , Yi-Hao Jhu , Pochung Chen , Chung-Yu Mou , Xin Wan

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor…

介观与纳米尺度物理 · 物理学 2013-02-18 Xiong-Jun Liu , Alejandro M. Lobos

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

强关联电子 · 物理学 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

We theoretically explore quench dynamics in a finite-sized topological fermionic p-wave superconducting wire with the goal of demonstrating that topological order can have marked effects on such non-equilibrium dynamics. In the case studied…

强关联电子 · 物理学 2015-05-26 Suraj Hegde , Vasudha Shivamoggi , Smitha Vishveshwara , Diptiman Sen

Majorana fermions are spin-1/2 neutral particles that are their own antiparticles and were initially predicted by Ettore Majorana in particle physics but their observation still remains elusive. The concept of Majorana fermions has been…

超导电性 · 物理学 2024-05-07 Yukio Tanaka , Shun Tamura , Jorge Cayao

Majorana zero modes are localized quasiparticles that obey non-Abelian exchange statistics. Braiding Majorana zero modes forms the basis of topologically protected quantum operations which could in principle significantly reduce qubit…

介观与纳米尺度物理 · 物理学 2019-11-14 Hao Zhang , Dong E. Liu , Michael Wimmer , Leo P. Kouwenhoven

Topological superconductors are prime candidates for the implementation of topological-quantum-computation ideas because they can support non-Abelian excitations like Majorana fermions. We go beyond the low-energy effective-model…

介观与纳米尺度物理 · 物理学 2012-09-14 Dibyendu Roy , C. J. Bolech , Nayana Shah

In a variety of rare-earth based compounds singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of zero-energy Majorana modes. In the limit of…

介观与纳米尺度物理 · 物理学 2013-05-30 Ivar Martin , Alberto F. Morpurgo

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

量子气体 · 物理学 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl
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