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The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Jack Kuipers , Daniel Waltner , Cyril Petitjean , Gregory Berkolaiko , Klaus Richter

We undertake a semiclassical analysis of the spectral properties (modulations of photoabsorption spectra, energy level statistics) of a simple Rydberg molecule in static fields within the framework of Closed-Orbit/Periodic-Orbit theories.…

Chaotic Dynamics · Physics 2009-11-07 A. Matzkin , T. S. Monteiro

The tunneling spectrum of an electron and a hole in a superlattice of NS junctions is computed using the BTK approach and the transfer matrix method. It shows sharp resonances at some energies above the superconducting gap. The sharper the…

Superconductivity · Physics 2014-08-20 W. LiMing , Jiayun Luo , Xiaoxue Cai , Ke Sha , Liangbin Hu

We evaluate the differential conductance measured in a scanning tunneling microscopy (STM) setting at arbitrary electron transmission between an STM tip and a two-dimensional (2D) superconductor with arbitrary gap structure. Our analytical…

Superconductivity · Physics 2023-05-30 P. O. Sukhachov , Felix von Oppen , L. I. Glazman

Semiconductor billiards are often considered as ideal systems for studying dynamical chaos in the quantum mechanical limit. In the traditional picture, once the electron's mean free path, as determined by the mobility, becomes larger than…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 A. P. Micolich , A. M. See , B. C. Scannell , C. A. Marlow , T. P. Martin , I. Pilgrim , A. R. Hamilton , H. Linke , R. P. Taylor

Peaks associated to multiple Andreev reflections have been used to identify the number of conduction channels, and their transmitivity in mesoscopic superconducting junctions. We analyze the influence of the detailed shape of each channel,…

Superconductivity · Physics 2007-05-23 Elena Bascones , Francisco Guinea

By combining the Dirac equation of relativistic quantum mechanics with the Bogoliubov-De Gennes equation of superconductivity we investigate the electron-hole conversion at a normal-metal--superconductor interface in graphene. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker

We propose a universal method to detect the specular Andreev reflection taking the simple two dimensional Weyl nodal-line semimetal-superconductor double-junction structure as an example. The quasiclassical quantization conditions are…

Superconductivity · Physics 2021-04-27 Qiang Cheng , Qing-Feng Sun

We study the effect on quantum spectra of the existence of small circular disks in a billiard system. In the limit where the disk radii vanish there is no effect, however this limit is approached very slowly so that even very small radii…

chao-dyn · Physics 2008-02-03 P. Rosenqvist , N. D. Whelan , A. Wirzba

Numerical simulations of conduction through a disordered microbridge between a normal metal and a superconductor have revealed an anomalous insensitivity of the conductance fluctuations to a magnetic field. A theory for the anomaly is…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

The Andreev reflection of narrow ferromagnet/superconductor point contacts is theoretically studied. We show that the conductance quantization depends on whether the contact region is superconducting or ferromagnetic as well as on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Keiichirou Kikuchi , Hiroshi Imamura , Saburo Takahashi , Sadamichi Maekawa

We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional polygonal billiards. In polygons, diffraction typically occurs at the boundary of a family of…

chao-dyn · Physics 2009-10-31 E. Bogomolny , N. Pavloff , C. Schmit

The point contact spectrum between a normal metal and a superconductor often shows unexpected sharp dips in the conductance at voltage values larger than the superconducting energy gap. These dips are not predicted in the…

Strongly Correlated Electrons · Physics 2007-05-23 G. Sheet , S. Mukhopadhyay , P. Raychaudhuri

In the "ballistic" regime, the transport across a normal metal (N)/superconductor (S) point-contact is dominated by a quantum process called Andreev reflection. Andreev reflection causes an enhancement of the conductance below the…

Superconductivity · Physics 2021-10-04 Ritesh Kumar , Goutam Sheet

Recently semiclassical approximations have been successfully applied to study the effect of a superconducting lead on the density of states and conductance in ballistic billiards. However, the summation over classical trajectories involved…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Oleg Zaitsev

We discuss the interpretation of distortions to stellar spectral lines with particular attention to line bisectors in the presence of an orbiting planetary companion. We present a simple model whereby light reflected by the companion can…

Astrophysics · Physics 2009-10-30 David Charbonneau , Saurabh Jha , Robert W. Noyes

Andreev billiards are finite, arbitrarily-shaped, normal-state regions, surrounded by superconductor. At energies below the superconducting energy gap, single-quasiparticle excitations are confined to the normal region and its vicinity, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Inanc Adagideli , Paul M. Goldbart

We have investigated Andreev-reflection processes occurring at a clean interface between a $p$-type semiconductor and a conventional superconductor. Our calculations are performed within a generalized Bogoliubov-de Gennes formalism where…

Superconductivity · Physics 2011-10-05 David Futterer , Michele Governale , Ulrich Zuelicke , Jürgen König

We investigate a normal metal -- superconductor (point) contact in the limit where the number of conducting channels in the metallic wire is reduced to few channels. As the effective Fermi energy drops below the gap energy, a conducting…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gordey B. Lesovik , Gianni Blatter

We present a semiclassical theory for transport through open billiards of arbitrary convex shape that includes diffractively scattered paths at the lead openings. Starting from a Dyson equation for the semiclassical Green's function we…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Stampfer , L. Wirtz , S. Rotter , J. Burgdoerfer