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We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

In this article we review the state of the art on the transport properties of quantum dot systems connected to superconducting and normal electrodes. The review is mainly focused on the theoretical achievements although a summary of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 A. Martin-Rodero , A. Levy Yeyati

The Josephson effect describes the flow of supercurrent in a weak link, such as a tunnel junction, nanowire, or molecule, between two superconductors. It is the basis for a variety of circuits and devices, with applications ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 L. Bretheau , Ç. Ö. Girit , Hugues Pothier , D. Esteve , C. Urbina

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

Local spins coupled to superconductors give rise to several emerging phenomena directly linked to the competition between Cooper pair formation and magnetic exchange. These effects are generally scrutinized using a spectroscopic approach…

We study the subgap spectrum of the interacting single-level quantum dot coupled between two superconducting reservoirs, forming the Josephson-type circuit, and additionally hybridized with a metallic normal lead. This system allows for the…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Tadeusz Domański , Martin Žonda , Vladislav Pokorný , Grzegorz Górski , Václav Janiš , Tomáš Novotný

Altermagnetism has emerged as a promising ingredient for realizing nontrivial Josephson phases, but so far explored in single Josephson junctions. In this work, we consider the coherent coupling of two Josephson junctions with spin-singlet…

Superconductivity · Physics 2026-03-06 Sayan Mondal , Jorge Cayao

We theoretically investigate the behavior of Andreev levels in a single-orbital interacting quantum dot in contact to superconducting leads, focusing on the effect of electrostatic gating and applied magnetic field, as relevant for recent…

Strongly Correlated Electrons · Physics 2016-10-12 Nils Wentzell , Serge Florens , Tobias Meng , Volker Meden , Sabine Andergassen

We demonstrate how the boundary-driven reconstruction of the superconducting order parameter can be employed to manipulate the zero-energy Majorana bound states (MBSs) occurring in a topological Josephson junction. We focus on an interface…

Superconductivity · Physics 2019-09-23 Maria Teresa Mercaldo , Panagiotis Kotetes , Mario Cuoco

We study the Andreev levels, supercurrent and tunnelling conductance in a clean Ising superconductor (ISC)/half metal (HM)/Ising superconductor (ISC) Josephson junction with spin-active interfaces using Bogoliubov-de Gennes equations. We…

Superconductivity · Physics 2023-03-08 Saumen Acharjee , Arindam Boruah , Nimisha Dutta , Reeta Devi

Two promising architectures for solid-state quantum information processing are electron spins in semiconductor quantum dots and the collective electromagnetic modes of superconducting circuits. In some aspects, these two platforms are dual…

Mesoscale and Nanoscale Physics · Physics 2021-08-16 M. Hays , V. Fatemi , D. Bouman , J. Cerrillo , S. Diamond , K. Serniak , T. Connolly , P. Krogstrup , J. Nygård , A. Levy Yeyati , A. Geresdi , M. H. Devoret

We study low-energy transport through a quantum dot coupled to one normal and two superconducting (SC) leads in a junction of Y-shape. In this geometry a crossover between Kondo dominated and Cooper-pairing dominated states occurs by tuning…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Akira Oguri , Yoichi Tanaka , Johannes Bauer

Detection and control of Andreev Bound States (ABSs) localized at semiconductor-superconductor interfaces are essential for their use in quantum applications. Here we investigate the impact of ABSs on the supercurrent through a Josephson…

The energies of Andreev bound states (ABS) forming in a $N$-terminal junction are affected by $N - 1$ independent macroscopic phase differences between superconducting leads and can be regarded as energy bands in $N - 1$ periodic solid…

Mesoscale and Nanoscale Physics · Physics 2015-11-20 Tomohiro Yokoyama , Yuli V. Nazarov

The superconducting proximity effect in semiconductor nanowires has recently enabled the study of new superconducting architectures, such as gate-tunable superconducting qubits and multiterminal Josephson junctions. As opposed to their…

Harnessing spin and parity degrees of freedom is of fundamental importance for the realization of emergent quantum devices. Nanostructures embedded in superconductor--semiconductor hybrid materials offer novel and yet unexplored routes for…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 M. Coraiola , D. Z. Haxell , D. Sabonis , M. Hinderling , S. C. ten Kate , E. Cheah , F. Krizek , R. Schott , W. Wegscheider , F. Nichele

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…

Andreev levels localized in a weak link between two superconductors can trap a superconducting quasiparticle. If there is a spin-orbit coupling in the link, the spin of the quasiparticle couples to the Josephson current. This effect can be…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 P. D. Kurilovich , T. Vakhtel , T. Connolly , C. G. L. Bøttcher , B. van Heck

We consider an Anderson impurity (A) weakly connected to a superconducting electrode (S) on one side and a superconducting or a normal metal electrode (N) on the other side. A general path integral formalism is developed and the response of…

Strongly Correlated Electrons · Physics 2009-10-31 Yshai Avishai , Anatoly Golub , Andrei D. Zaikin

We study the interplay between the Kondo and Andreev-Josephson effects in a quantum dot coupled to one normal and two superconducting (SC) leads. In the large gap limit, the low-energy states of this system can be described exactly by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Akira Oguri , Yoichi Tanaka