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Topological Josephson junctions designed on the surface of a 3D-topological insulator (TI) harbor Majorana bound states (MBS's) among a continuum of conventional Andreev bound states. The distinct feature of these MBS's lies in the…

介观与纳米尺度物理 · 物理学 2019-01-16 K. Le Calvez , L. Veyrat , F. Gay , P. Plaindoux , C. Winkelmann , H. Courtois , B. Sacépé

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

介观与纳米尺度物理 · 物理学 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna

A semiconducting nanowire proximitized by an $s$-wave superconductor can be tuned into a topological state by an applied magnetic field. This quantum phase transition is marked by the emergence of Majorana zero modes at the ends of the…

介观与纳米尺度物理 · 物理学 2020-07-01 Chaitanya Murthy , Vladislav D. Kurilovich , Pavel D. Kurilovich , Bernard van Heck , Leonid I. Glazman , Chetan Nayak

We theoretically study a Josephson junction formed by two finite-size $s$-wave SCs on a topological insulator under a magnetic field. At certain conditions, the junction hosts the chiral Majorana modes enclosing the two finite-size SCs. The…

介观与纳米尺度物理 · 物理学 2019-09-02 Sang-Jun Choi , H. -S. Sim

It is known that the low-energy physics of the Josephson effect in the presence of Majorana zero modes exhibits a $4\pi$ periodicity as the Aharonov-Bohm flux varies in contrast to the $2\pi$ Josephson periodicity in usual superconducting…

介观与纳米尺度物理 · 物理学 2019-02-05 Ching-Kai Chiu , S. Das Sarma

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is…

介观与纳米尺度物理 · 物理学 2013-03-12 Doru Sticlet , Cristina Bena , Pascal Simon

Topological superconductors supporting Majorana Fermions with non-abelian statistics are presently a subject of intense theoretical and experimental effort. It has been proposed that the observation of a half-frequency or a fractional…

介观与纳米尺度物理 · 物理学 2012-06-21 Jay D. Sau , Erez Berg , Bertrand I. Halperin

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

介观与纳米尺度物理 · 物理学 2018-08-22 Christian Spånslätt

A prominent signature of Majorana bound states is the exotic Josephson effects they produce, the classic example being a fractional Josephson current with 4\pi periodicity in the phase difference across the junction. Recent work established…

介观与纳米尺度物理 · 物理学 2013-11-06 Falko Pientka , Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

The anomalous proximity effect in dirty superconducting junctions is one of most striking phenomena highlighting the profound nature of Majorana bound states and odd-frequency Cooper pairs in topological superconductors. Motivated by the…

超导电性 · 物理学 2020-11-04 Satoshi Ikegaya , Shun Tamura , Dirk Manske , Yukio Tanaka

Topological superconductors admit zero-energy Majorana bound states at their boundaries. In this review article, we discuss how to probe these Majorana bound states in Josephson junctions between two topological superconductors. In the…

介观与纳米尺度物理 · 物理学 2015-06-17 Driss M. Badiane , Leonid I. Glazman , Manuel Houzet , Julia S. Meyer

A junction between two topological superconductors containing a pair of Majorana fermions exhibits a `fractional' Josephson effect, $4\pi$ periodic in the superconductors' phase difference. An additional fractional Josephson effect,…

超导电性 · 物理学 2015-05-28 Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Fractional Josephson effect is a unique character of Majorana Fermions in topological superconductor system. This effect is very difficult to detect experimentally because of the disturbance of quasiparticle poisoning and unwanted couplings…

量子物理 · 物理学 2017-08-10 Zhen-Tao Zhang , Zheng-Yuan Xue , Yang Yu

Majorana bound states in topological Josephson junctions induce a 4? period current-phase relation. Direct detection of the 4? periodicity is complicated by the quasiparticle poisoning. We reveal that Majorana bound states are also signaled…

超导电性 · 物理学 2017-07-24 Hong Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

We propose a scheme to detect the Majorana bound states (MBSs) by a thermodynamically stable D.C. Josephson current with $4\pi$-periodicity in the superconducting phase difference, which is distinct from the previous A.C. $4\pi$-periodicity…

超导电性 · 物理学 2014-09-22 Zhan Cao , Tie-Feng Fang , Hong-Gang Luo

In this minireview, we outline the recent experimental and theoretical progress in the creation, characterization and manipulation of Majorana bound states (MBSs) in semiconductor-superconductor (SC) hybrid structures. After an introductory…

介观与纳米尺度物理 · 物理学 2020-07-10 Alexander Schuray , Daniel Frombach , Sunghun Park , Patrik Recher

Superconducting proximity junctions based on topological insulators are widely believed to harbor Majorana-like bound states. The latter serves as a paradigm non-local topological quantum computation protocols. Nowadays, a search for…

It is widely believed that superconducting junctions involving topological insulators and hosting Majorana-like bound states may exhibit unusual "fractional" ($4\pi$-periodic) ac Josephson effect. Accordingly, "fractional" Shapiro steps on…

超导电性 · 物理学 2021-09-08 Artem V. Galaktionov , Andrei D. Zaikin

A semiconducting nanowire with strong Rashba spin-orbit coupling and coupled to a superconductor can be tuned by an external Zeeman field into a topological phase with Majorana zero modes. Here we theoretically investigate how this exotic…

介观与纳米尺度物理 · 物理学 2017-11-23 Jorge Cayao , Pablo San-Jose , Annica Black-Schaffer , Ramón Aguado , Elsa Prada

We theoretically study a Kitaev wire interrupted by an extra site which gives rise to super exchange coupling between two Majorana bound states. We show that this system hosts a tunable, non-equlibrium Josephson effect with a characteristic…

量子气体 · 物理学 2016-08-22 C. Laflamme , J. C. Budich , P. Zoller , M. Dalmonte
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