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Multi-terminal superconducting Josephson junctions based on the proximity effect offer the bright opportunity to tailor non trivial quantum states in nanoscale weak-links. These structures can realize exotic topologies in multidimensions…

Mesoscale and Nanoscale Physics · Physics 2016-12-09 E. Strambini , S. D'Ambrosio , F. Vischi , F. S. Bergeret , Yu. V. Nazarov , F. Giazotto

We consider a biased Normal-Superconducting junction with various types of superconductivity. Depending on the class of superconductivity, a Majorana bound state may appear at the interface. We show that this has important consequences on…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 D. Chevallier , M. Albert , P. Devillard

We consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana zero-modes at the…

Superconductivity · Physics 2021-09-03 L. S. Ricco , J. E. Sanches , Y. Marques , M. de Souza , M. S. Figueira , I. A. Shelykh , A. C. Seridonio

Josephson junctions with topological insulator weak links can host low energy Andreev bound states giving rise to a current phase relation that deviates from sinusoidal behaviour. Of particular interest are zero energy Majorana bound states…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 C. Kurter , A. D. K. Finck , Y. S. Hor , D. J. Van Harlingen

Andreev bound states are an expression of quantum coherence between particles and holes in hybrid structures composed of superconducting and non-superconducting metallic parts. Their spectrum carries important information on the nature of…

Superconductivity · Physics 2015-09-28 Matthias Eschrig

The modern understanding of the Josephson effect in mesosopic devices derives from the physics of Andreev bound states, fermionic modes that are localized in a superconducting weak link. Recently, Josephson junctions constructed using…

Superconductivity · Physics 2018-08-01 M. Hays , G. de Lange , K. Serniak , D. J. van Woerkom , D. Bouman , P. Krogstrup , J. Nygård , A. Geresdi , M. H. Devoret

The Josephson effect is a fundamental quantum phenomenon consisting in the appearance of a dissipationless supercurrent in a weak link between two superconducting (S) electrodes. While the mechanism leading to the Josephson effect is quite…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 J. Paajaste , E. Strambini , M. Amado , S. Roddaro , P. San-Jose , R. Aguado , F. S. Bergeret , D. Ercolani , L. Sorba , F. Giazotto

Andreev bound states ubiquitously emerge as a consequence of nontrivial topological structures of the order parameter of superfluids and superconductors and significantly contribute to thermodynamics and low-energy quantum transport…

Superconductivity · Physics 2018-07-03 Takeshi Mizushima , Kazushige Machida

Topological superconductors are appealing building blocks for robust and reliable quantum information processing. Most platforms for engineering topological superconductivity rely on a combination of superconductors, materials with…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ignacio Sardinero , Rubén Seoane Souto , Pablo Burset

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by two superconducting leads, forming a Josephson junction. We show that in the presence of an in-plane Zeeman field the quasi-one-dimensional region…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Falko Pientka , Anna Keselman , Erez Berg , Amir Yacoby , Ady Stern , Bertrand I. Halperin

The Josephson junction (JJ) is an essential element of superconducting (SC) devices for both fundamental and applied physics. The short-range coherent coupling of two adjacent JJs forms the Andreev molecule states (AMSs), which will provide…

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…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Chaitanya Murthy , Vladislav D. Kurilovich , Pavel D. Kurilovich , Bernard van Heck , Leonid I. Glazman , Chetan Nayak

We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 L. Bretheau , Ç. Girit , M. Houzet , H. Pothier , D. Esteve , C. Urbina

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

The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Erwann Bocquillon , Jonas Wiedenmann , Russell S. Deacon , Teunis M. Klapwijk , Hartmut Buhmann , Laurens W. Molenkamp

We investigate thermal and non-local electrical transport in four-terminal Josephson junctions formed by a normal region coupled to two transverse chiral superconducting leads, supporting phases characterized by Chern numbers ${\cal…

Topological superconductors harbor, at their boundaries and vortex cores, zero-energy Majorana bound states, which can be the building blocks in fault-tolerant topological quantum computing. Planar Josephson junctions host such topological…

Superconductivity · Physics 2024-02-22 Pankaj Sharma , Narayan Mohanta

In recent years, various classes of systems were proposed to realize topological states of matter. One of them are multiterminal Josephson junctions where topological Andreev bound states are constructed in the synthetic space of…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 Lev Teshler , Hannes Weisbrich , Jonathan Sturm , Raffael L. Klees , Gianluca Rastelli , Wolfgang Belzig

The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

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
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