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We propose a minimal model for the Josephson current through a quantum dot in a Kondo regime. We start with the model that consists of an Anderson impurity connected to two superconducting (SC) leads with the gaps…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Akira Oguri , Yoshihide Tanaka , A. C. Hewson

We consider a quantum impurity model in which a bosonic impurity level is coupled to a non-interacting bosonic bath, with the bosons at the impurity site subject to a local Coulomb repulsion U. Numerical renormalization group calculations…

Statistical Mechanics · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla

We studied the low-energy states of spin-1/2 quantum dots defined in InAs/InP nanowires and coupled to aluminium superconducting leads. By varying the superconducting gap, \Delta, with a magnetic field, B, we investigated the transition…

Mesoscale and Nanoscale Physics · Physics 2012-11-06 Eduardo J. H. Lee , Xiaocheng Jiang , Ramon Aguado , Giorgos Katsaros , Charles M. Lieber , Silvano De Franceschi

In this work, we employ a surrogate BCS model with discrete energy levels to investigate a hybrid system comprising two quantum dots (QD1 and QD2), where QD1 is tunnel-coupled to two superconducting leads. Through exact diagonalization of…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Cong Li , Yiyan Wang , Bing Dong

We study two quantum dots in the limit of strong dot-lead coupling and weak dot-dot tunneling. The model maps on Ising-coupled Kondo impurities. We argue that a new quantum critical fixed point exists at an intermediate value of the mutual…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Natan Andrei , Gergely T. Zimanyi , Gerd Schoen

Topological superconductivity holds promise for fault-tolerant quantum computing. While planar Josephson junctions are attractive candidates to realize this exotic state, direct phase-measurements as the fingerprint of the topological…

The superconductor-to-insulator quantum phase transition in resistively shunted Josephson junctions is investigated by means of path-integral Monte Carlo simulations. This numerical technique allows us to directly access the (previously…

Superconductivity · Physics 2009-11-07 Carlos P. Herrero , Andrei D. Zaikin

Control and manipulation of quantum states by measurements and bath engineering in open quantum systems have emerged as new paradigms in many-body physics. Here, taking a prototypical example of Josephson junction arrays (JJAs), we show how…

Superconductivity · Physics 2025-11-21 Purnendu Das , Sumilan Banerjee

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

A model system consisting of a mesoscopic superconducting grain coupled by Josephson junctions to two macroscopic superconducting electrodes is studied. We focus on the effects of ohmic dissipation caused by resistive shunts and…

Superconductivity · Physics 2009-11-10 Gil Refael , Eugene Demler , Yuval Oreg , Daniel S. Fisher

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin

In a quantum dot hybrid superconducting junction, the behavior of the supercurrent is dominated by Coulomb blockade physics, which determines the magnetic state of the dot. In particular, in a single level quantum dot singly occupied, the…

Mesoscale and Nanoscale Physics · Physics 2021-01-25 R. Delagrange , R. Weil , A. Kasumov , M. Ferrier , H. Bouchiat , R. Deblock

Two superconductors coupled by a weak link support an equilibrium Josephson electrical current which depends on the phase difference $\varphi$ between the superconducting condensates [1]. Yet, when a temperature gradient is imposed across…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Antonio Fornieri , Giuliano Timossi , Pauli Virtanen , Paolo Solinas , Francesco Giazotto

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…

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

We investigate the Josephson effect through a two-level quantum dot with an exchange coupling between two dot electrons. We compute the superconducting phase relationship and construct the phase diagram in the superconducting gap--exchange…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Minchul Lee , Thibaut Jonckheere , Thierry Martin

We study the finite temperature phase transition in 2+1 dimensional compact QED and its dual theory: Josephson junction. Duality of these theories at zero temperature was established long time ago by Hosotani. Phase transition in compact…

High Energy Physics - Theory · Physics 2010-02-03 Vakif K. Onemli , Murat Tas , Bayram Tekin

We analyze phase interferometry realized with a bosonic Josephson junction made of trapped dilute and ultracold atoms. By using a suitable phase sensitivity indicator we study the zero temperature junction states useful to achieve sub…

Quantum Gases · Physics 2013-03-08 G. Mazzarella

We report on quantum dot based Josephson junctions designed specifically for measuring the supercurrent. From high-accuracy fitting of the current-voltage characteristics we determine the full magnitude of the supercurrent (critical…

Superconductivity · Physics 2007-09-19 H. Ingerslev Jørgensen , T. Novotný , K. Grove-Rasmussen , K. Flensberg , P. E. Lindelof

This paper studies the physics of junctions containing superconducting $(S)$ and normal $(N)$ leads weakly coupled to an Anderson impurity in the Kondo regime $(K)$. Special attention is devoted to the case where one of the leads is a…

Strongly Correlated Electrons · Physics 2009-11-07 T. Aono , A. Golub , Y. Avishai