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Andreev bound states (ABS) occur in Josephson junctions when the total phase of the Andreev and normal reflections is a multiple of $2\pi$. In ballistic junctions with an applied voltage bias, a quasi-particle undergoes multiple Andreev…

Quantitative description of charge transport across tunneling and break-junction devices with novel superconductors encounters some problems not present, or not as severe for traditional superconducting materials. In this work, we explain…

Superconductivity · Physics 2016-08-11 E. Zhitlukhina , I. Devyatov , O. Egorov , M. Belogolovskii , P. Seidel

The Josephson Effect and Superconducting Proximity Effect were observed in Superconductor -Graphene-Superconductor (SGS) Josephson junctions with coherence lengths comparable to the distance between the superconducting leads. By comparing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xu Du , Ivan Skachko , Eva Y. Andrei

We theoretically analyze non-local electron transport in multi-terminal normal-metal-superconductor-normal-metal (NSN) devices in the presence of an external ac voltage bias. Our analysis reveals a number of interesting effects, such as,…

Superconductivity · Physics 2009-07-06 D. S. Golubev , A. D. Zaikin

In this work we present a detailed theoretical analysis for the spectral properties of Andreev bound states in the multiterminal Josephson junctions by employing a symmetry-constrained scattering matrix approach. We find that in the…

Superconductivity · Physics 2022-06-13 Hong-Yi Xie , Jaglul Hasan , Alex Levchenko

The manuscript presents an overview of recent developments in theory of multiple Andreev reflections in Josephson junctions with arbitrary transparency and arbitrary quasiparticle dispersion in the electrodes.

Superconductivity · Physics 2007-05-23 D. V. Averin

We propose a phase-biased non-Hermitian Josephson junction (NHJJ) composed of two superconductors mediated by a short non-Hermitian link. Such a NHJJ is described by an effective non-Hermitian Hamiltonian derived based on the Lindblad…

Mesoscale and Nanoscale Physics · Physics 2024-06-24 Chang-An Li , Hai-Peng Sun , Björn Trauzettel

We study Andreev reflection in a normal conductor-molecule-superconductor junction using a first principles approach. In particular, we focus on a family of molecules consisting of a molecular backbone and a weakly coupled side group. We…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 A. Kormanyos , I. Grace , C. J. Lambert

Non-linear charge transport in SIS Josephson junctions has a unique signature in the shuttled charge quantum between the two superconductors. In the zero-bias limit Cooper pairs, each with twice the electron charge, carry the Josephson…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Yuval Ronen , Yonatan Cohen , Jung-Hyun Kang , Arbel Haim , Maria-Theresa Rieder , Moty Heiblum , Diana Mahalu , Hadas Shtrikman

We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 M. Minutillo , D. Giuliano , P. Lucignano , A. Tagliacozzo , G. Campagnano

We express the low-frequency shot noise in a disordered normal-metal - superconductor (NS) junction at finite (subgap) voltage in terms of the normal scattering amplitudes and the Andreev reflection amplitude. In the multichannel limit, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. L. Fauchere , G. B. Lesovik , G. Blatter

In this paper we address several new developments in the theory of dc Josephson effect in superconducting weak links. We analyze an interplay between quantum interference effects and Andreev reflection in SNS nanojunctions with insulating…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrei D. Zaikin

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

By investigating the nonequilibrium transport across a metal/superconductor junction in both nonrelativistic and relativistic cases, we reveal that the asymmetric Andreev reflection with anisotropic superconductors is able to induce the…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 Jie Ren , Jian-Xin Zhu

There is growing interest in using multi-terminal Josephson junctions (MTJJs) as a platform to artificially emulate topological phases and to investigate complex superconducting mechanisms such as quartet and multiplet Cooper pairings.…

We report on the observation of gate-tunable proximity-induced superconductivity and multiple Andreev reflections (MAR) in a bulk-insulating BiSbTeSe$_2$ topological insulator nanoribbon (TINR) Josephson junction (JJ) with superconducting…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Luis A. Jauregui , Morteza Kayyalha , Aleksander Kazakov , Ireneusz Miotkowski , Leonid P. Rokhinson , Yong P. Chen

We report on a theoretical analysis, consisting of both numerical and analytic work, of the stability of synchronization of a ladder array of Josephson junctions under the influence of current induced magnetic fields. Surprisingly, we find…

Superconductivity · Physics 2009-10-31 B. R. Trees , R. A. Murgescu

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

We investigate spin transport in voltage-biased spin-active Josephson junctions. The interplay of spin filtering, spin mixing, and multiple Andreev reflection leads to nonlinear voltage dependence of the dc and ac spin current. We compute…

Superconductivity · Physics 2009-11-11 Erhai Zhao , J. A. Sauls

We show that electrically and magnetically frustrated Josephson junction arrays (JJAs) realize topological order with a non-trivial ground state degeneracy on manifolds with non-trivial topology. The low-energy theory has the same gauge…

Strongly Correlated Electrons · Physics 2008-11-26 M. C. Diamantini , P. Sodano , C. A. Trugenberger