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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

Stimulated by a very recent experiment observing successfully two superconducting states with even- and odd-number of electrons in a nanowire topological superconductor as expected from the existence of two end Majorana quasiparticles (MQs)…

Superconductivity · Physics 2016-08-01 Zhi Wang , Wen-Chao Huang , Qi-Feng Liang , Xiao Hu

Reading out Majorana bound states (MBSs) is essential both to verify their non-Abelian property and to realize topological quantum computation. Here, we construct a protocol to measure the parity of two MBSs in a Majorana island coupled to…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Zhen-Tao Zhang , Dong E. Liu

We consider a model of a Josephson junction of two topological superconducting wires mediated by an interacting quantum dot. An additional normal electrode coupled to the dot from the top allows to probe its density of states. The Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Piotr Stefański

We theoretically investigate electronic transport through a junction where a quantum dot (QD) is tunnel coupled on both sides to semiconductor nanowires with strong spin-orbit interaction and proximity-induced superconductivity. The results…

Superconductivity · Physics 2014-12-09 Guang-Yao Huang , Martin Leijnse , Karsten Flensberg , Hongqi Xu

One Majorana doublet can be realized at each end of the time-reversal-invariant Majorana nanowires. We investigate the Josephson effect in the Majorana-doublet-presented junction modified by different inter-doublet coupling manners. It is…

Mesoscale and Nanoscale Physics · Physics 2015-01-14 Wei-Jiang Gong , Zhen Gao , Wan-Fei Shan , Guang-Yu Yi

We theoretically investigate the localization properties of Majorana states (MSs) in proximitized, planar Josephson Junctions (JJs) oriented along different crystallographic orientations and in the presence of an in-plane magnetic field and…

Superconductivity · Physics 2025-12-11 A. P. Garrido , P. A. Orellana , A. Matos-Abiague

Constructing a universal operation scheme for Majorana qubits remains a central issue for the topological quantum computation. We study the Landau-Zener-St\"{u}ckelberg interference in a Majorana qubit and show that this interference can be…

Superconductivity · Physics 2015-07-13 Wen-Chao Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

We study a double quantum dot connected via a common superconducting lead and show that this system can be tuned to host one Majorana bound state (MBS) on each dot. We call them "poor man's Majorana bound states" since they are not…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Martin Leijnse , Karsten Flensberg

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

We investigate the Josephson effect in TNT and NTN junctions, consisting of topological (T) and normal (N) phases of semiconductor-superconductor 1D heterostructures in the presence of a Zeeman field. A key feature of our setup is that, in…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Panagiotis Kotetes , Alexander Shnirman , Gerd Schön

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

We characterize topological features of Josephson junctions formed by coupled mesoscopic chiral $p$-wave superconducting islands. Through analytic and numerical studies of the low-lying BdG (Bogoliubov-de Gennes) spectrum, we identify…

The Josephson supercurrent through the hybrid Majorana--quantum dot--Majorana junction is investigated. We particularly analyze the effect of spin-selective coupling between the Majorana and quantum dot states, which emerges only in the…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 Luting Xu , Xin-Qi Li , Qing-Feng Sun

The demonstration of the non-Abelian properties of Majorana bound states (MBS) is a crucial step toward topological quantum computing. We theoretically investigate how Majorana fusion rules manifest themselves in the current-voltage…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Sang-Jun Choi , Alessio Calzona , Björn Trauzettel

In an extended superconductor-topological insulator-superconductor (S-TI-S) Josephson junction in a magnetic field, localized Majorana bound states (MBS) are predicted to exist at the cores of Josephson vortices where the local phase…

An odd-occupied quantum dot in a Josephson junction can flip transmission phase, creating a {\pi}-junction. When the junction couples topological superconductors, no phase flip is expected. We investigate this and related effects in a…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 D. Razmadze , E. C. T. O'Farrell , P. Krogstrup , C. M. Marcus

We propose and theoretically investigate an alternative way to create the poor man's Majorana bound states (MBSs) introduced in Phys. Rev. B 86, 134528 (2012). Our proposal is based on two quantum dots (QDs) with strong electron-electron…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Athanasios Tsintzis , Rubén Seoane Souto , Martin Leijnse

A phase from an adiabatic exchange of Majorana bound states (MBS) reveals their exotic anyonic nature. For detecting this exchange phase, we propose an experimental setup consisting of a Corbino-geometry Josephson junction on the surface of…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 Sunghun Park , Patrik Recher

Unequivocal signatures of Majorana zero energy modes in condensed matter systems and manipulation of the associated electron parity states are highly sought after for fundamental reasons as well as for the prospect of topological quantum…

Superconductivity · Physics 2018-02-20 Rosa Rodriguez-Mota , Smitha Vishveshwara , T. Pereg-Barnea
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