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We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

We use a hybrid superconductor-semiconductor transmon device to perform spectroscopy of a quantum dot Josephson junction tuned to be in a spin-1/2 ground state with an unpaired quasiparticle. Due to spin-orbit coupling, we resolve two…

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

We consider a finite-size topological Josephson junction formed at the edge of a two-dimensional topological insulator in proximity to conventional superconductors and study the impact of Cooper pair symmetries on the electron transport. We…

Superconductivity · Physics 2022-09-13 Jorge Cayao , Paramita Dutta , Pablo Burset , Annica M. Black-Schaffer

To guide the search for the Majorana fermion, we theoretically study superconductor/topological/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including…

Mesoscale and Nanoscale Physics · Physics 2014-07-01 M. Snelder , M. Veldhorst , A. A. Golubov , A. Brinkman

We theoretically investigate the Josephson effect between two proximized Fibonacci quasicrystals. A quasiperiodic modulation of the chemical potential on a superconducting substrate induces topological gaps and edge modes with energies…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Keiji Yada , Yukio Tanaka , Pablo Burset

When a topological insulator is incorporated into a Josephson junction, the system is predicted to reveal the fractional Josephson effect with a 4$\pi$-periodic current-phase relation. Here, we report the measurement of a $4\pi$-periodic…

Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunneling between two electrodes through a small…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Philipp Werner , Gil Refael , Matthias Troyer

Gate-tunable Josephson junctions (JJs) are the backbone of superconducting classical and quantum computation. Typically, these systems exploit low charge concentration materials, and present technological diffculties limiting their…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 Federico Paolucci , Francesco Vischi , Giorgio De Simoni , Claudio Guarcello , Paolo Solinas , Francesco Giazotto

Topological spin superconductors are $p$-wave spin-triplet exciton insulators whose topological edge modes have been shown to obey non-Abelian braiding statistics. Based on a toy model as the spin counterpart of the Kitaev's chain, we study…

Mesoscale and Nanoscale Physics · Physics 2025-04-10 Liang Du , Hua Jiang , Yijia Wu , X. C. Xie

The conventional Josephson effect may be modified by introducing spin-active scattering in the interface-layer of the junction. Here, we discuss a Josephson junction consisting of two s-wave superconducting leads coupled over a classical…

Superconductivity · Physics 2016-03-07 Cecilia Holmqvist , Wolfgang Belzig , Mikael Fogelström

Recently, gate-defined Josephson junctions based on magic-angle twisted bilayer graphene (MATBG) have been fabricated. In such a junction, local electrostatic gating can create two superconducting regions connected by an interaction-driven…

Superconductivity · Physics 2023-08-16 Zhong-Chang-Fei Li , Yu-Xuan Deng , Zi-Ting Sun , Jin-Xin Hu , K. T. Law

We study the influence of a tunable dissipative environment on the dynamics of Josephson junction arrays near the superconductor-insulator transition. The experimental realization of the environment is a two dimensional electron gas coupled…

Superconductivity · Physics 2009-10-30 Karl-Heinz Wagenblast , Anne van Otterlo , Gerd Schoen , Gergely T. Zimanyi

We show analytically and by numerical simulations that the conductance through $\pi$-biased chaotic Josephson junctions is enhanced by several orders of magnitude in the short-wavelength regime. We identify the mechanism behind this effect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , Ph. Jacquod , J. Weiss

Josephson junctions with an intrinsic phase shift of pi, so-called pi Josephson junctions, can be realized by a weak link of a d-wave superconductor with an appropriate boundary geometry. A model for the pairing potential of an according…

Superconductivity · Physics 2015-05-13 A. Gumann , C. Iniotakis , N. Schopohl

We study the key features of the Josephson transport through a curved semiconducting nanowire. Based on numerical simulations and analytical estimates within the framework of the Bogoliubov-de Gennes equations we find the ground-state phase…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 A. A. Kopasov , A. G. Kutlin , A. S. Mel'nikov

We present a theory describing the trapping and untrapping of quasiparticles in the Andreev bound level of a single-channel weak link between two superconductors. We calculate the rates of the transitions between even and odd occupations of…

Mesoscale and Nanoscale Physics · Physics 2014-03-06 D. G. Olivares , L. Bretheau , Ç. Ö. Girit , H. Pothier , C. Urbina , A. Levy Yeyati

Josephson junctions (JJs), where both time-reversal and inversion symmetry are broken, exhibit a phase shift $\phi_0$ in their current-phase relation. This allows for an anomalous supercurrent to flow in the junction even in the absence of…

Superconductivity · Physics 2022-01-11 Alberto Hijano , Stefan Ilić , F. Sebastián Bergeret

We theoretically study the Josephson effect in a superconductor/normal metal/superconductor ({\it S}/{\it N}/{\it S}) Josephson junction composed of $s$-wave {\it S}s with {\it N} which is sandwiched by two ferromagnetic insulators ({\it…

Superconductivity · Physics 2015-08-06 Shin-ichi Hikino , Seiji Yunoki

An in-plane magnetic field applied to an Ising superconductor converts spin-singlet Cooper pairs to spin-triplet ones. In this work, we study a Josephson junction formed by two Ising superconductors that are proximitized by ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2022-01-03 Gaomin Tang , Raffael L. Klees , Christoph Bruder , Wolfgang Belzig