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We analyse the transport phenomena of 2D quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S-matrix while the classical analysis is based on the motion of a…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 R. G. Nazmitdinov , K. N. Pichugin , I. Rotter , P. Seba

We calculate the conductance through a circular quantum billiard with two leads and a point magnetic flux at the center. The boundary element method is used to solve the Schrodinger equation of the scattering problem, and the Landauer…

Mesoscale and Nanoscale Physics · Physics 2012-04-27 Suhan Ree , L. E. Reichl

We establish theoretically that in nonmagnetic semiconducting bilayer or multilayer thin film systems rolled up into compact quasi-one-dimensional nanoarchitectures, the ballistic magnetoresistance is very anisotropic: conductances depend…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Ching-Hao Chang , Jeroen van den Brink , Carmine Ortix

We study the transport properties of low-energy (quasi)particles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We consider four different geometrical setups and focus on the…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Nikolaos G. Fytas

We present experimental studies of the geometry-specific quantum scattering in microwave billiards of a given shape. We perform full quantum mechanical scattering calculations and find an excellent agreement with the experimental results.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Blomquist , H. Schanze , I. V. Zozoulenko , H. -J. Stockmann

This work presents some results regarding three-dimensional billiards having a non-constant potential of Keplerian type inside a regular domain $D\subset \mathcal R^3$. Two models will be analysed: in the first one, only an inner Keplerian…

Chaotic Dynamics · Physics 2024-10-22 Irene De Blasi

In billiard systems with a flux line semiclassical approximations for the density of states contain contributions from periodic orbits as well as from diffractive orbits that are scattered on the flux line. We derive a semiclassical…

chao-dyn · Physics 2010-03-09 Martin Sieber

The isolation of energetically persistent scattering pathways from the resonant manifold of an open electron billiard in the deep quantum regime is demonstrated. This enables efficient conductance switching at varying temperature and Fermi…

Mesoscale and Nanoscale Physics · Physics 2014-09-16 Christian Morfonios , Peter Schmelcher

Optical mushroom shaped billiards offer a unique opportunity to isolate and study non-dispersive, marginally unstable periodic orbits. Here we show that the openness of the cavity to external fields presents unanticipated consequences for…

Chaotic Dynamics · Physics 2009-10-08 Jonathan Andreasen , Hui Cao , Jan Wiersig , Adilson E. Motter

We analyze the weak localization correction to the conductivity of a spinless two-leg ladder model in the limit of strong dephasing \tau_\phi << \tau_tr, paying particular attention to the presence of a magnetic field, which leads to an…

Strongly Correlated Electrons · Physics 2013-05-30 Michael P. Schneider , Sam T. Carr , Igor V. Gornyi , Alexander D. Mirlin

Ballistic transport through a collection of quantum billiards in undoped graphene is studied analytically within the conformal mapping technique. The billiards show pseudodiffusive behavior, with the conductance equal to that of a classical…

Mesoscale and Nanoscale Physics · Physics 2009-09-18 Adam Rycerz , Patrik Recher , Michael Wimmer

We study the persistent current of noninteracting electrons subject to a pointlike magnetic flux in the simply connected chaotic Robnik-Berry quantum billiard, and also in an annular analog thereof. For the simply connected billiard we find…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Oleksandr Zelyak , Ganpathy Murthy

Billiard systems offer a simple setting to study regular and chaotic dynamics. Gravitational billiards are generalizations of these classical billiards which are amenable to both analytical and experimental investigations. Most previous…

Chaotic Dynamics · Physics 2015-07-27 Cameron K. Langer , Bruce N. Miller

We study diffraction corrections to the semiclassical spectral density of dispersing (Sinai) billiards. They modify the contributions of periodic orbits (PO's), with at least one segment which is almost tangent to the concave part of the…

chao-dyn · Physics 2009-10-28 Harel Primack , Holger Schanz , Uzy Smilansky , Iddo Ussishkin

Quantum conductance of 3D ballistic wires with idealy flat boundaries obeys fluctuations with the properties quite distinguishable from those of universal conductance fluctuations: Both their amplitude and the sensitivity to the magnetic…

Condensed Matter · Physics 2016-08-31 Vladimir I. Fal'ko , G. B. Lesovik

We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Iva Brezinova , Christoph Stampfer , Ludger Wirtz , Stefan Rotter , Joachim Burgdorfer

We establish the dominant effect of anisotropic weak localization (WL) in three dimensions associated with a propagative Fermi surface, on the conductivity correction in heavily nitrogen doped ultrananocrystalline diamond (UNCD) films based…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Kunjal V Shah , Dmitry Churochkin , Zivayi Chiguvare , Somnath Bhattacharyya

We study the effect of a resonant frequency disorder on the eigenstates and the transport of magnetic energy in a two-dimensional (square) array of split-ring resonators (SRRs). In the absence of disorder, we find the dispersion relation of…

Pattern Formation and Solitons · Physics 2021-09-17 Cristian Mejia-Cortes , Mario I. Molina

We study the sliding state of a two-dimensional Wigner crystal in a strong magnetic field and a random impurity potential. Using a high-velocity perturbation theory, we compute the nonlinear conductivity, various correlation functions, and…

Condensed Matter · Physics 2009-10-22 Xuejun Zhu , P. B. Littlewood , A. J. Millis

We investigate quantum dynamics and kinetics of a 2D conductor with closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the…

Strongly Correlated Electrons · Physics 2021-10-28 A. M. Kadigrobov , B. Keran , D. Radić