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Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

介观与纳米尺度物理 · 物理学 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

超导电性 · 物理学 2014-07-31 Masaki Tezuka , Norio Kawakami

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

强关联电子 · 物理学 2013-05-29 Jason Alicea

We theoretically consider the effect of a spatially periodic modulation of the superconducting order parameter on the formation of Majorana fermions induced by a one-dimensional system with magnetic impurities brought into close proximity…

介观与纳米尺度物理 · 物理学 2016-04-19 Silas Hoffman , Jelena Klinovaja , Daniel Loss

Topological insulator edges and spin-orbit-coupled quantum wires in proximity to s-wave super- conductors can be tuned through a topological quantum phase transition by a Zeeman field. Here we show that a supercurrent flowing in the s-wave…

介观与纳米尺度物理 · 物理学 2015-06-03 Alessandro Romito , Jason Alicea , Gil Refael , Felix von Oppen

Quantum phase transitions are intriguing and fundamental cooperative phenomena in physics. Analyzing a superconducting nanowire with spin-dependent non-Hermitian hopping, we discover a topological quantum phase transition driven by…

介观与纳米尺度物理 · 物理学 2019-09-02 Nobuyuki Okuma , Masatoshi Sato

It has been shown previously that a finite-length topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, realizes a one-dimensional topological…

超导电性 · 物理学 2012-10-19 A. M. Cook , M. M. Vazifeh , M. Franz

We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity…

介观与纳米尺度物理 · 物理学 2013-07-30 Dong E. Liu , Alex Levchenko , Harold U. Baranger

The fermionic and Majorana edge mode dynamics of various topological systems is compared, after a sudden global quench of the Hamiltonian parameters takes place. Attention is focused on the regimes where the survival probability of an edge…

介观与纳米尺度物理 · 物理学 2016-06-22 P. D. Sacramento

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

Majorana fermions are promising candidates for storing and processing information in topological quantum computation. The ability to control such individual information carriers in trapped ultracold atomic Fermi gases is a novel theme in…

量子气体 · 物理学 2013-01-21 Xia-Ji Liu , P. D. Drummond

Topological Quantum Computing has largely evolved towards a paradigm of manipulating edge localized Majorana within $p$-wave topological superconducting nanowires. To bridge the gap between physical qubit systems and quantum algorithms, we…

介观与纳米尺度物理 · 物理学 2026-03-17 Adrian D. Scheppe , Michael V. Pak

Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions, which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

超导电性 · 物理学 2012-07-19 Jay D. Sau , S. Das Sarma

Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit…

量子物理 · 物理学 2024-05-24 Ming-Jian Gao , Yu-Peng Ma , Jun-Hong An

We propose a system of coupled quantum dots in proximity to a superconductor and driven by separate ac potentials to realize and detect Floquet Majorana fermions. We show that the appearance of Floquet Majorana fermions can be finely…

介观与纳米尺度物理 · 物理学 2014-09-17 Yantao Li , Arijit Kundu , Fan Zhong , Babak Seradjeh

Topological superfluid, new quantum matter that possesses gapless exotic excitations known as Majorana fermions, has attracted extensive attention recently. These excitations, which can encode topological qubits, could be crucial…

量子气体 · 物理学 2016-01-18 Liang-Liang Wang , Wu-Ming Liu

The prospects for realizing a topological quantum computer have brightened since the apparent detection of Majorana fermions at the ends of semiconducting nanowires. These Majorana zero-modes persist in the presence of the strong disorder…

介观与纳米尺度物理 · 物理学 2016-08-02 Sonika Johri , Rahul Nandkishore

We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

强关联电子 · 物理学 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

The external controllability of topological superconductors and Majorana fermions would be important both for fundamental and practical interests. Here we predict the electric-field control of Majorana fermions in two-dimensional…

超导电性 · 物理学 2016-12-07 Jing Wang

In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to…

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