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We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero…

介观与纳米尺度物理 · 物理学 2023-05-17 Vladislav D. Kurilovich , Zachary M. Raines , Leonid I. Glazman

We review here a novel circuit theory of superconductivity. The existed circuit theory of Andreev reflection has been revised to account for decoherence between electrons and holes and twofold nature of the distribution function. The…

介观与纳米尺度物理 · 物理学 2009-10-31 Yuli V. Nazarov

We study theoretically the differential conductance at a junction between a time reversal symmetry broken spin orbit coupled system with a tunable band gap and a superconductor. We look for spin-dependent Andreev reflection (i.e, sub-gap…

介观与纳米尺度物理 · 物理学 2018-12-14 Dibya Kanti Mukherjee , Joanna Hutchinson , Arijit Kundu

Thermodynamic and transport properties of normal disordered conductors are strongly influenced by the proximity of a superconductor. A cooperation between mesoscopic coherence and Andreev scattering of particles from the superconductor…

介观与纳米尺度物理 · 物理学 2009-10-30 Alexander Altland , B D Simons , D Taras-Semchuk

In a 2D rectangular microwave cavity dressed with one point-like scatterer, a semiclassical approach is used to analyze the spectrum in terms of periodic orbits and diffractive orbits. We show, both numerically and experimentally, how the…

其他凝聚态物理 · 物理学 2007-05-23 David Laurent , Olivier Legrand , Fabrice Mortessagne

The validity of the retracing approximation in the semiclassical quantization of Andreev billiards is investigated. The exact energy spectrum and the eigenstates of normal-conducting, ballistic quantum dots in contact with a superconductor…

介观与纳米尺度物理 · 物理学 2007-05-23 F. Libisch , S. Rotter , J. Burgdoerfer

It has recently been argued that the geometric-optics mean path length of rays inside a refractive object under Lambertian illumination is independent of the scattering strength of the medium [Savo et al., Science 358, 765 (2017)]. We here…

光学 · 物理学 2021-07-13 Matt Majic , Walter R. C. Somerville , Eric C. Le Ru

We theoretically and numerically investigate the capability of disordered media to enhance the optical path length in dielectric slabs and augment their light absorption efficiency due to scattering. We first perform a series of Monte Carlo…

The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The…

凝聚态物理 · 物理学 2016-08-31 Nathan Argaman

We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift on three symbols…

动力系统 · 数学 2019-06-05 Péter Bálint , Jacopo De Simoi , Vadim Kaloshin , Martin Leguil

In an ordinary billiard system trajectories of a Hamiltonian system are elastically reflected after a collision with a hypersurface (scatterer). If the scatterer is a submanifold of codimension more than one, we say that the billiard is…

动力系统 · 数学 2016-06-23 Sergey Bolotin

The Andreev Reflection is the key mechanism for the superconducting proximity effect. It provides phase correlations in a system of non-interacting electrons at mesoscopic scales, i.e. over distances much larger than the microscopic lengths…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Pannetier , H. Courtois

Normal-conducting mesoscopic systems in contact with a superconductor are classified by the symmetry operations of time reversal and rotation of the electron's spin. Four symmetry classes are identified, which correspond to Cartan's…

凝聚态物理 · 物理学 2009-10-28 Alexander Altland , Martin R. Zirnbauer

We study the Andreev and normal reflection processes -- retro as well as specular -- in a bilayer graphene-superconductor junction where equal and opposite displacement fields are applied for the top and bottom layers to induce a band gap.…

超导电性 · 物理学 2023-11-17 Panch Ram , Detlef Beckmann , Romain Danneau , Wolfgang Belzig

We study the effect of unidirectional reflectivity in the bilayer optical model with the balanced loss/gain terms. It was found that if the impedances characterizing the scattering part are different from those describing the leads, a new…

光学 · 物理学 2017-08-09 J. Ramirez-Hernandez , F. M. Izrailev , N. M. Makarov

We use the Landauer-B\"uttiker scattering theory for electronic transport to calculate the current cross-correlations in a voltage-biased three-terminal junction with all superconducting leads. At low bias voltage, when charge transport is…

介观与纳米尺度物理 · 物理学 2016-04-27 Roman-Pascal Riwar , Driss M. Badiane , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

The problem of Andreev reflection between a normal metal and a multiband superconductor is addressed. The appropriate matching conditions for the wave function at the interface are established on the basis of an extension of quantum…

超导电性 · 物理学 2009-05-29 M. A. N. Araujo , P. D. Sacramento

We study the transport properties of a voltage biased contact between two spin-split superconductors separated by an insulating barrier of arbitrary transparency. At low transparency, the contribution of multiple Andreev reflections leads…

超导电性 · 物理学 2020-01-15 Bo Lu , Pablo Burset , Yukio Tanaka

We study Andreev reflection in normal metal-superconductor junctions by using an extended Blonder-Tinkham-Klapwijk model combined with transport calculations based on density functional theory. Starting from a parameter-free description of…

介观与纳米尺度物理 · 物理学 2014-10-28 Awadhesh Narayan , Ivan Rungger , Stefano Sanvito

We consider the conductance of a normal-superconductor junction in bilayer graphene in the framework of the Dirac-Bogoliubov-De-Gennes equation. A remarkable suppression of the conductance at voltages just below the superconducting gap is…

介观与纳米尺度物理 · 物理学 2009-11-13 T. Ludwig