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We introduce quantum maps with particle-hole conversion (Andreev reflection) and particle-hole symmetry, which exhibit the same excitation gap as quantum dots in the proximity to a superconductor. Computationally, the Andreev maps are much…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , H. Schomerus , C. W. J. Beenakker

Andreev reflection at the interface between a ferromagnet and a superconductor has become a foundation of a versatile new technique of measuring the spin polarization of magnetic materials. In this paper we will briefly outline a general…

Materials Science · Physics 2009-10-31 I. I. Mazin , A. A. Golubov , B. Nadgorny

Quantum transport through a double Aharonov-Bohm-interferometer in the presence of Andreev reflection is investigated in terms of the nonequilibrium Green function method with which the reflection current is obtained. Tunable Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yong-Ping Zhang , Hui Yu , Ying-Fang Gao , J. -Q. Liang

The topological quantum number Q of a superconducting or chiral insulating wire counts the number of stable bound states at the end points. We determine Q from the matrix r of reflection amplitudes from one of the ends, generalizing the…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 I. C. Fulga , F. Hassler , A. R. Akhmerov , C. W. J. Beenakker

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…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

We investigate the effect of the Majorana Fermions which are formed at the boundary of a p-wave superconductor. When the Majorana overlapping energy is finite we construct the scattering matrix $\mathbf{S}$ by maping the Majorana zero mode…

Superconductivity · Physics 2015-10-28 D. Schmeltzer

Given a domain G, a reflection vector field d(.) on the boundary of G, and drift and dispersion coefficients b(.) and \sigma(.), let L be the usual second-order elliptic operator associated with b(.) and \sigma(.). Under suitable…

Probability · Mathematics 2012-04-24 Weining Kang , Kavita Ramanan

We develop a theory of the non-local transport of two counter-propagating $\nu = 1$ quantum Hall edges coupled via a narrow disordered superconductor. The system is self-tuned to the critical point between trivial and topological phases by…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Vladislav D. Kurilovich , Leonid I. Glazman

We present a semi-classical analysis of the opening of superchannels in gated mesoscopic SNS junctions. For perfect junctions (i.e. hard-wall potential), this was considered by Chtchelkatchev, Lesovik and Blatter in the framework of…

Mathematical Physics · Physics 2011-07-05 A. Bensouissi , N. M'hadbi , M. Rouleux

We study Andreev reflection in a ballistic one-dimensional channel coupled in parallel to a superconductor via a tunnel barrier of finite length $L$. The dependence of the low-energy Andreev reflection probability $R_A$ on $L$ reveals the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Giorgos Fagas , Grigory Tkachov , Andreas Pfund , Klaus Richter

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…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Awadhesh Narayan , Ivan Rungger , Stefano Sanvito

We present a combined numerical and experimental study of Andreev scattering from quantum turbulence in superfluid $^3$He-B at ultralow temperatures. We simulate the evolution of moderately dense, three-dimensional, quasiclassical vortex…

We theoretically reveal the possibility of specular Andreev reflection in a thin film topological insulator normal-superconductor (N/S) junction in the presence of a gate electric field. The probability of specular Andreev reflection…

Mesoscale and Nanoscale Physics · Physics 2016-05-05 Leyla Majidi , Reza Asgari

We study unconventional superconductivity in thin exfoliated single crystals of a promising 3D topological superconductor candidate, Nb-doped Bi$_2$Se$_3$ through Andreev reflection spectroscopy and magneto-transport. Measurements of…

We formulate gaussian and circular random-matrix models representing a coupled system consisting of an absorbing and an amplifying resonator, which are mutually related by a generalized time-reversal symmetry. Motivated by optical…

Quantum Physics · Physics 2012-12-21 Christopher Birchall , Henning Schomerus

We investigate Andreev reflection in two-dimensional heterojunctions formed by a superconductor in contact with a topological insulator ribbon either possessing or breaking time-reversal symmetry. Both classes of topological insulators…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Awadhesh Narayan , Stefano Sanvito

We investigate the Andreev reflection process in high-mobility HgTe/CdTe quantum wells. We find that Andreev conductance probes the dynamics of massive 2+1 Dirac fermions, and that both specular Andreev reflection and retroreflection can be…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Guigou , J. Cayssol

We present a numerical model of local and nonlocal transport properties in a lateral spin valve structure consisting of two magnetic electrodes in contact with a third perpendicular superconducting electrode. By considering the transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 James Luke Webb , Bryan Hickey , Gavin Burnell

We study the Andreev reflection (AR) in a three terminal mesoscopic hybrid system, in which two ferromagnets (F$_1$ and F$_2$) are coupled to a superconductor (S) through a quantum dot (QD). By using non-equilibrium Green function, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu Zhu , Qing-feng Sun , Tsung-han Lin

The theory of Andreev conductance is formulated for junctions involving normal metals (N) and multiband superconductors (S) and applied to the case of superconductors with nodeless extended $s_{\pm}$-wave order parameter symmetry, as…

Superconductivity · Physics 2015-05-13 A. A. Golubov , A. Brinkman , O. V. Dolgov , I. I. Mazin , Y. Tanaka