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Under appropriate external conditions a semiconductor nanowire in proximity to an s-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire.…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Jay D. Sau , D. J. Clarke , S. Tewari

Known Majorana fermions models are considered as promising ones for the purposes of quantum computing robust to decoherence. One of the most expecting but unachieved goals is an effective control for braiding of Majoranas. Another one is to…

Mesoscale and Nanoscale Physics · Physics 2017-12-15 Halina V. Grushevskaya , George Krylov

The search for evidence of Majorana states on the edges of topological superconductors (TSCs) is challenging due to the difficulty of detecting such charge-neutral electronic quasiparticles. Local microwave spectroscopy has been shown to be…

Superconductivity · Physics 2023-10-27 Han Bi , James Jun He

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information processing. While the construction of a universal…

Mesoscale and Nanoscale Physics · Physics 2018-07-26 Alex Thomson , Falko Pientka

We aim to study a one-dimensional $p$-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected…

Disordered Systems and Neural Networks · Physics 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

Recent experiments announced an observation of topological superconductivity and Majorana quasiparticles in Shiba chains, consisting of an array of magnetic atoms deposited on top of a superconductor. In this work we study helical Shiba…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Alex Westström , Kim Pöyhönen , Teemu Ojanen

Chiral $p$-wave superconductor is the primary example of topological systems hosting chiral Majorana edge states. Although candidate materials exist, the conclusive signature of chiral Majorana edge states has not yet been observed in…

Superconductivity · Physics 2019-11-20 Satoshi Ikegaya , Yasuhiro Asano , Dirk Manske

Quantum anomalous Hall insulator/superconductor heterostructures emerged as a competitive platform to realize topological superconductors with chiral Majorana edge states as shown in recent experiments [He et al. Science {\bf 357}, 294…

Superconductivity · Physics 2018-03-21 Chui-zhen Chen , Ying-ming Xie , Jie Liu , Patrick A Lee , K. T. Law

A topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, is shown to realize a one-dimensional topological superconductor with unpaired Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 A. Cook , M. Franz

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…

Superconductivity · Physics 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

To realize Majorana fermions having novel physical features has been developed as a key while difficult task in topological superconductor. Here we have proposed another platform to generate Majorana zero modes (MZMs), which is constructed…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Song Chen , Hua-Hua Fu

Two-dimensional $p_x+ip_y$ topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of $h/2e$ vortices. Here we construct a model realizing the fractional counterpart of this phase: a…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Eran Sagi , Arbel Haim , Erez Berg , Felix von Oppen , Yuval Oreg

We show that the interplay of cyclotron motion and Andreev reflection experienced by massless-Dirac-like charge carriers in topological-insulator surface states generates a Majorana-particle excitation. Based on an envelope-function…

Mesoscale and Nanoscale Physics · Physics 2013-05-14 Rakesh P. Tiwari , U. Zülicke , C. Bruder

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

Superconductivity · Physics 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

Recent experimental investigations of arrays of magnetic atoms deposited on top of a superconductor have opened a new chapter in the search of topological superconductivity. We generalize the microscopic model derived by Pientka et al.…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Joel Röntynen , Teemu Ojanen

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari
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