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Majorana fermions feature non-Abelian exchange statistics and promise fascinating applications in topological quantum computation. Recently, second-order topological superconductors (SOTSs) have been proposed to host Majorana fermions as…

Majorana bound states (MBSs) are quasiparticles which are their own antiparticles. They are predicted to emerge as zero-energy modes localized at the boundary of a topological superconductor. No intrinsic topological superconductor is known…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 William F. Schiela , Peng Yu , Javad Shabani

Electron teleportation via two separate Majorana bound states(MBSs) is a manifestation of the non-locality of MBSs. A superconductor may host multiple separate or partial overlapping MBSs, and it is difficult to distinguish them. Here, we…

Mesoscale and Nanoscale Physics · Physics 2023-06-27 Zhen-Tao Zhang , Bao-Long Liang , Zhen-Shan Yang

We propose a versatile platform to investigate the existence of Majorana bound states (MBSs) and their non-Abelian statistics through braiding. This implementation combines a two-dimensional electron gas formed in a semiconductor quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Geoffrey L. Fatin , Alex Matos-Abiague , Benedikt Scharf , Igor Žutić

Two-dimensional second-order topological superconductors (SOTSCs) have gapped bulk and edge states, with zero-energy Majorana bound states localized at corners. Motivated by recent advances in Majorana nanowire experiments, we propose to…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 S. Franca , D. V. Efremov , I. C. Fulga

A versatile control of magnetic systems, widely used to store information, can also enable manipulating Majorana bounds states (MBS) and implementing fault-tolerant quantum information processing. The proposed platform relies on the…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Alex Matos-Abiague , Javad Shabani , Andrew D. Kent , Geoffrey L. Fatin , Benedikt Scharf , Igor Žutić

A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Tong Zhou , Matthieu C. Dartiailh , Kasra Sardashti , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

Topological superconductivity supports exotic Majorana bound states (MBS) which are chargeless zero-energy emergent quasiparticles. With their non-Abelian exchange statistics and fractionalization of a single electron stored nonlocally as a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Tong Zhou , Matthieu C. Dartiailh , William Mayer , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

We investigate electron transport through multiterminal networks hosting Majorana bound states (MBS) in the framework of full counting statistics (FCS). In particular, we apply our general results to T-shaped junctions of two Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Luzie Weithofer , Patrik Recher , Thomas L. Schmidt

Majorana bound states (MBSs) are building blocks for topological quantum computing. They can be generated via the combination of electronic topology and superconductivity. To achieve logic operations via Majorana braiding, positional…

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…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Alexander Schuray , Daniel Frombach , Sunghun Park , Patrik Recher

Two-dimensional electron gases with strong spin-orbit coupling covered by a superconducting layer offer a flexible and potentially scalable platform for Majorana networks. We predict Majorana bound states (MBSs) to appear for experimentally…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Michael Hell , Karsten Flensberg , Martin Leijnse

Planar Josephson junctions are theoretically predicted to harbor zero-energy Majorana bound states (MBS) in a tunable two-dimensional geometry, at the two ends of the middle metallic channel. Here we show that three distinct topological…

Superconductivity · Physics 2025-10-14 Pankaj Sharma , Narayan Mohanta

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…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Dibyendu Roy , C. J. Bolech , Nayana Shah

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

Motivated by the striking promise of quantum computation, Majorana bound states (MBSs) in solid-state systems have attracted wide attention in recent years. In particular, the wavefunction localization of MBSs is a key feature and crucial…

Atomic and Molecular Clusters · Physics 2016-12-07 Remy Pawlak , Marcin Kisiel , Jelena Klinovaja , Tobias Meier , Shigeki Kawai , Thilo Glatzel , Daniel Loss , Ernst Meyer

Protecting qubits from perturbations is a central challenge in quantum computing. Topological superconductors with separated Majorana bound states (MBSs) provide a strong form of protection that only depends on the locality of…

We describe a scheme to exchange fermion parity between two pairs of Majorana bound states mediated by coupling with a centralized quantum dot. We specifically formulate such a scheme for Majorana bound states nucleated in the Josephson…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Varsha Subramanyan , Jukka I Vayrynen , Alex Levchenko , Smitha Vishveshwara

We propose a route to detect Majorana bound states (MBSs) by coupling a topological superconductor to quantum dots (QDs) in a $pnp$ junction. Here, two MBSs are coherently coupled to electrons on two QDs, which recombine with holes to…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Lena Bittermann , Fernando Dominguez , Patrik Recher
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