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Time-reversal invariant superconductors having nodes of vanishing excitation gap support zero-energy boundary states with topological protection. Existing expressions for the topological invariant are given in terms of the Hamiltonian of an…

Superconductivity · Physics 2012-11-29 J. P. Dahlhaus , M. Gibertini , C. W. J. Beenakker

We study, both theoretically and experimentally, the features on the current-voltage characteristic of a highly transparent Josephson junction caused by transition of the superconducting leads to the normal state. These features appear due…

We study nonequilibrium effects in current transport through voltage biased tunnel junction with long diffusive superconducting leads at low applied voltage, $eV \ll 2\Delta$, and finite temperatures. Due to a small value of the Josephson…

Superconductivity · Physics 2011-01-11 E. V. Bezuglyi , A. S. Vasenko , V. S. Shumeiko , G. Wendin

We theoretically study the superconducting diode effect in a three-terminal Josephson junction. The diode effect in superconducting systems is typically related to the presence of a difference in the critical currents for currents flowing…

Superconductivity · Physics 2024-08-07 Jorge Huamani Correa , Michal P. Nowak

We theoretically investigate Josephson junctions with a phase shift of $\pi$ in various proximity induced one-dimensional superconductor models. One of the salient experimental signatures of topological superconductors, namely the…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Christian Spånslätt , Eddy Ardonne , Jan Carl Budich , Thors Hans Hansson

In connection with the recent Harvard group experiment on graphene-based four-terminal Josephson junctions containing a grounded loop, we consider biasing at opposite voltages on the quartet line and establish lowest-order perturbation…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Régis Mélin

We present a consistent theory of superconductive tunneling in single-mode junctions within a scattering formulation of Bogoliubov-de Gennes quantum mechanics. Both dc Josephson effect and dc quasiparticle transport in voltage biased…

Superconductivity · Physics 2009-10-28 V. S. Shumeiko , E. N. Bratus' , G. Wendin

In an in-situ prepared three-terminal Josephson junction based on the topological insulator Bi$_4$Te$_3$ and the superconductor Nb the transport properties are studied. The differential resistance maps as a function of two bias currents…

We demonstrate that the mode number of Andreev bound states in bilayer graphene Josephson junctions can be modulated by in situ control of the superconducting coherence length. By exploiting the quadratic band dispersion of bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Geon-Hyoung Park , Wonjun Lee , Sein Park , Kenji Watanabe , Takashi Taniguchi , Gil Young Cho , Gil-Ho Lee

We study the dc-current transport in a voltage biased superconductor-chaotic dot-superconductor junction with an induced proximity effect(PE) in the dot. It is found that for a Thouless energy $E_{Th}$ of the dot smaller than the…

Superconductivity · Physics 2009-11-07 P. Samuelsson , G. Johansson , Å. Ingerman , V. S. Shumeiko , G. Wendin

We consider a Josephson junction built with the two-dimensional semi-Dirac semimetal, which features a hybrid of linear and quadratic dispersion around a nodal point. We model the weak link between the two superconducting regions by a Dirac…

Superconductivity · Physics 2024-04-10 Ipsita Mandal

The phase-dependent bound states (Andreev levels) of a Josephson junction can cross at the Fermi level, if the superconducting ground state switches between even and odd fermion parity. The level crossing is topologically protected, in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 C. W. J. Beenakker , J. M. Edge , J. P. Dahlhaus , D. I. Pikulin , Shuo Mi , M. Wimmer

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

The quantum mechanics of the Josephson effect is the core ingredient for quantum technologies with superconducting circuits. A new avenue was recently opened in this field by predicting that the Josephson quantum mechanics in the odd parity…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

Self-consistent solutions of microscopic Eilenberger theory are presented for a two-dimensional model of a superconducting channel with a geometric constriction. Magnetic fields, external ones as well as those caused by the supercurrents,…

Superconductivity · Physics 2007-08-29 A. Gumann , T. Dahm , N. Schopohl

We study all the possible different two terminal configurations of Josephson junctions containing wires of time-reversal invariant topological superconductors (TRITOPS) and ordinary superconductors, including combinations with an…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Liliana Arrachea , Alberto Camjayi , Armando A. Aligia , Leonel Gruñeiro

We investigate the Josephson radiation emitted by a junction made of a quantum dot coupled to two conventional superconductors. Close to resonance, the particle-hole symmetric Andreev states that form in the junction are detached from the…

Superconductivity · Physics 2020-08-05 Baptiste Lamic , Julia S. Meyer , Manuel Houzet

We present a theory of transport through interacting quantum dots coupled to normal and superconducting leads in the limit of weak tunnel coupling. A Josephson current between two superconducting leads, carried by first-order tunnel…

Superconductivity · Physics 2010-09-03 Marco G. Pala , Michele Governale , Jürgen König

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…

We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing…

Superconductivity · Physics 2021-03-24 Stefan Backens , Alexander Shnirman