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We show that the quasi-continuous gapless spectrum of Andreev bound states in multi-terminal semi-classical superconducting nanostructures exhibits a big number of topological singularities. We concentrate on Weyl points in a 4-terminal…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Hristo Barakov , Yuli V. Nazarov

We use the Landauer-B\"uttiker scattering theory for electronic transport to calculate the current cross-correlations in a voltage-biased three-terminal junction with all superconducting leads. At low bias voltage, when charge transport is…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Roman-Pascal Riwar , Driss M. Badiane , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

We study the zero-temperature transport properties of one-dimensional normal-superconductor (NS) junctions with topological superconductors across their topological transitions. Working within the Blonder-Tinkham-Klapwijk (BTK) formalism…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 F. Setiawan , P. M. R. Brydon , Jay D. Sau , S. Das Sarma

We analyze the spatial and energy dependence of the local density of states in a SNS junction. We model our system as a one-dimensional tight-binding chain which we solve exactly by numerical diagonalization. We calculate the dependence of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Cristina Bena

A theory is offered for the ballistic 4-terminal Josephson junction. The studied system consists of a mesoscopic two-dimensional normal rectangular layer which is attached in each side to the bulk superconducting banks (terminals). The…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Malek Zareyan , A. N. Omelyanchouk

A three-terminal Josephson junction consists of three superconductors coupled coherently to a small nonsuperconducting island, such as a diffusive metal, a single or double quantum dot. A specific resonant single quantum dot three-terminal…

Mesoscale and Nanoscale Physics · Physics 2017-02-16 Régis Mélin , Jean-Guy Caputo , Kang Yang , Benoît Douçot

We propose novel model system for the studies of superconductor-insulator transitions, which is a regular lattice, whose each link consists of Josephson-junction chain of $N \gg 1$ junctions in sequence. The theory of such an array is…

Superconductivity · Physics 2022-06-01 I. V. Protopopov , M. V. Feigel'man

The Josephson transport and the electronic properties of a quantum dot characterized by a single level coupled to superconducting leads is analyzed. Different approximations are used and compared: the mean field approximation, the second…

Condensed Matter · Physics 2009-11-07 E. Vecino , A. Martin-Rodero , A. Levy Yeyati

We develop the theory of an Andreev junction, which provides a method to probe the intrinsic topology of the Fermi sea of a two-dimensional electron gas (2DEG). An Andreev junction is a Josephson $\pi$ junction proximitizing a ballistic…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Pok Man Tam , Christophe De Beule , Charles L. Kane

Topological Josephson junctions enable nonreciprocal transport involving Majorana fermions (MFs). Here we examine a topological Josephson junction with mixed $s$+$p$-wave pairing, where topological phase transition can be driven by…

Superconductivity · Physics 2025-06-23 Shu-Tong Guan , Jin An

A growing body of work suggests that planar Josephson junctions fabricated using superconducting hybrid materials provide a highly controllable route toward one-dimensional topological superconductivity. Among the experimental controls are…

A Josephson junction made of a generic magnetic material sandwiched between two conventional superconductors is studied in the ballistic semi-classic limit. The spectrum of Andreev bound states is obtained from the single-valuedness of a…

Superconductivity · Physics 2016-06-10 François Konschelle , F. Sebastián Bergeret , Ilya V. Tokatly

Recently, the tunable Weyl-semimetal bands and the associate topological phase transition have been successfully simulated in superconducting quantum circuits [X. Tan, \textit{et al.} Phys. Rev. Lett. {\bf 122}, 010501 (2019)]. Since the…

Quantum Physics · Physics 2022-10-28 Mingzhu Weng , Weijun Cheng , Zhihai Wang , Haodi Liu

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

We apply a Gutzwiller-like variational technique to study Josephson conduction across a quantum dot with an odd number of electrons connected to two superconducting leads. Our method projects out all states on the dot but the Kondo singlet…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriele Campagnano , Domenico Giuliano , Adele Naddeo , Arturo Tagliacozzo

We theoretically study topological superconductivity in elongated planar Josephson junctions. In the presence of spin-orbit coupling and an in-plane magnetic field, the Josephson junction can enter the topological phase and host zero-energy…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 D. Kuiri , P. Wójcik , M. P. Nowak

Multiterminal Josephson junctions have recently been proposed as a route to artificially mimic topological matter with the distinct advantage that its properties can be controlled via the superconducting phase difference, giving rise to…

Superconductivity · Physics 2017-02-01 Morten Amundsen , Jabir Ali Ouassou , Jacob Linder

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,…

We study charge transport of a topological superconductor connected to different electromagnetic environments using a low-energy description where only the Majorana bound states in the superconductor are included. Extending earlier findings…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Konrad Wölms , Karsten Flensberg

We investigate electronic transport in Josephson junctions formed by single-walled carbon nanotubes coupled to superconducting electrodes. We observe enhanced zero-bias conductance (up to 10e^2/h) and pronounced sub-harmonic gap structures…

Mesoscale and Nanoscale Physics · Physics 2007-08-24 Y. Zhang , G. Liu , C. N. Lau
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