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We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

We investigate the DC Josephson effect in a superconductor-normal metal-superconductor junction where the normal region consists of a ballistic ring. We show that a fully controllable $\pi$-junction can be realized through the…

Superconductivity · Physics 2007-06-12 Fabrizio Dolcini , Francesco Giazotto

Proximity induced quantum coherence of electrons in multi-terminal voltage-driven hybrid normal-superconducting nanostructures may result in a non-trivial interplay between topology-dependent Josephson and Aharonov-Bohm effects. We…

Mesoscale and Nanoscale Physics · Physics 2020-05-05 Pavel E. Dolgirev , Mikhail S. Kalenkov , Andrei D. Zaikin

The Josephson current through an Aharonov-Bohm (AB) interferometer, in which a quantum dot (QD) is situated on one arm and a magnetic flux $\Phi$ threads through the ring, has been investigated. With the existence of the magnetic flux, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Shu-guang Cheng , Yanxia Xing , X. C. Xie , Qing-feng Sun

Wires made of topological insulators (TI) are a promising platform for searching for Majorana bound states. These states can be probed by analyzing the fractional ac Josephson effect in Josephson junctions with the TI wire as a weak link.…

We report the realization of a ballistic Josephson interferometer. The interferometer is made by a quantum ring etched in a nanofabricated two-dimensional electron gas confined in an InAs-based heterostructure laterally contacted to…

Mesoscale and Nanoscale Physics · Physics 2013-05-17 A. Fornieri , M. Amado , F. Carillo , F. Dolcini , G. Biasiol , L. Sorba , V. Pellegrini , F. Giazotto

Topological insulators are characterized by an insulating bulk with a finite band gap and conducting edge or surface states, where charge carriers are protected against backscattering. These states give rise to the quantum spin Hall effect…

Strongly Correlated Electrons · Physics 2012-08-23 M. Veldhorst , M. Snelder , M. Hoek , T. Gang , X. L. Wang , V. K. Guduru , U. Zeitler , W. G. v. d. Wiel , A. A. Golubov , H. Hilgenkamp , A. Brinkman

We investigate the ground state current of an isolated hybrid normal/superconducting ring (NS ring), threaded by an Aharonov-Bohm magnetic flux. We calculate the excitation spectrum of the ring for any values of the lengths of the normal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Cayssol , T. Kontos , G. Montambaux

We study a quantum dot Josephson junction inside an Aharonov-Bohm environment. The geometry is modeled by an Anderson impurity coupled to two directly-linked BCS leads. We illustrate that the well-established picture of the low-energy…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , V. Meden

We study the stationary Josephson current in a junction between a topological and an ordinary (topologically trivial) superconductor. Such an S-TS junction hosts a Majorana zero mode that significantly influences the current-phase relation.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigelman

We investigate the Andreev-bound-state (ABS) spectra of three-terminal Josephson junctions which consist of 1D topological superconductors (TSCs) harboring multiple zero-energy edge Majorana bound states (MBSs) protected by chiral symmetry.…

We analyze theoretically the bound state spectrum of an Aharonov Bohm (AB) ring in a two-dimensional topological insulator using the four-band model of HgTe-quantum wells as a concrete example. We calculate analytically the circular helical…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Paolo Michetti , Patrik Recher

Josephson junctions have broad applications in metrology, quantum information processing, and remote sensing. For these applications, the electronic noise is a limiting factor. In this work we study the thermal noise in narrow Josephson…

Superconductivity · Physics 2021-09-29 Dushko Kuzmanovski , Rubén Seoane Souto , Alexander V. Balatsky

We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

We study Josephson junctions between superconductors connected through the helical edge states of a two-dimensional topological insulator in the presence of a magnetic barrier. As the equilibrium Andreev bound states of the junction are…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Driss M. Badiane , Manuel Houzet , Julia S. Meyer

Planar Josephson junctions provide a platform to host topological superconductivity which, through manipulating Majorana bound states (MBS), could enable fault-tolerant quantum computing. However, what constitutes experimental signatures of…

Mesoscale and Nanoscale Physics · Physics 2024-08-21 Barış Pekerten , David Brandão , Bassel Heiba Elfeky , Tong Zhou , Jong E. Han , Javad Shabani , Igor Žutić

For Josephson junctions based on s-wave superconductors, time-reversal symmetry is known to allow for powerful relations between the normal-state junction properties, the excitation spectrum, and the Josephson current. Here we provide…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 E. A. Mellars , B. Béri

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

The interplay between novel topological states and superconductivity has garnered substantial interest due to its potential for topological quantum computing. The Josephson effect serves as a useful probe for edge superconductivity in these…

Superconductivity · Physics 2024-11-12 Junjie Qi , Chui-Zhen Chen , Juntao Song , Jie Liu , Ke He , Qing-Feng Sun , X. C. Xie

We study the behavior of a topological Josephson junction in which two topological superconductors are coupled through a quantum dot. We focus on the case with the bulk superconducting gap being the largest energy scale. Two parameter…

Superconductivity · Physics 2016-05-11 Yu-Li Lee , Yu-Wen Lee
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