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The nonlinear transport regime is manifested in the nonlinear current-voltage characteristic of the system. An example of such a nonlinear regime is a setup in which current is injected into the sample and the measured voltage drop is…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 Dmitry V. Chichinadze

Here, we theoretically analyze spectra of weakly attenuated electromagnetic waves which may appear in a Fermi-liquid of charge carriers in quasi-two-dimensional (Q2D) layered conductors when an external magnetic field is applied…

Materials Science · Physics 2008-10-23 Natalya A. Zimbovskaya , Godfrey Gumbs

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

Using the Landauer formula and a random matrix model, we investigate the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through few-channel microstructures with the shape of a…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. -B. Gossiaux , Z. Pluhar , H. A. Weidenmueller

We study numerically the frequency modulated kicked nonlinear rotator with effective dimension $d=1,2,3,4$. We follow the time evolution of the model up to $10^9$ kicks and determine the exponent $\alpha$ of subdiffusive spreading which…

Disordered Systems and Neural Networks · Physics 2014-08-12 Leonardo Ermann , Dima L. Shepelyansky

The semiclassical theory for billiards with mixed boundary conditions is developed and explicit expressions for the smooth and the oscillatory parts of the spectral density are derived. The parametric dependence of the spectrum on the…

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

This is the first survey of highly excited eigenstates of a chaotic 3D billiard. We introduce a strongly chaotic 3D billiard with a smooth boundary and we manage to calculate accurate eigenstates with sequential number (of a 48-fold…

chao-dyn · Physics 2009-10-28 Tomaz Prosen

The quantum dynamics of a chaotic billiard with moving boundary is considered in this work. We found a shape parameter Hamiltonian expansion which enables us to obtain the spectrum of the deformed billiard for deformations so large as the…

chao-dyn · Physics 2009-10-31 D. A. Wisniacki , E. Vergini

In this paper, we demonstrate the existence and significance of diffractive orbits in an open microwave billiard, both experimentally and theoretically. Orbits that diffract off of a sharp edge of the system are found to have a strong…

Chaotic Dynamics · Physics 2009-10-31 J. S. Hersch , M. R. Haggerty , E. J. Heller

A theoretical description is presented for low-temperature magnetic-field induced three-dimensional (3D) ordering transitions in strongly anisotropic quantum antiferromagnets, consisting of weakly coupled antiferromagnetic spin-1/2 chains…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

We investigate a gapped two-dimensional nodal-line semimetal subjected to a perpendicular magnetic field. We identify an unusual pattern for Landau levels, where the energy of Landau levels first decreases and then starts increasing versus…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Shahin Barati , Hamid Rahimpoor , Saeed H. Abedinpour

We perform numerical measurements of the moments of the position of a tracer particle in a two-dimensional periodic billiard model (Lorentz gas) with infinite corridors. This model is known to exhibit a weak form of super-diffusion, in the…

Statistical Mechanics · Physics 2014-10-21 Giampaolo Cristadoro , Thomas Gilbert , Marco Lenci , David P. Sanders

We study the linear, second-order nonlinear (NL) current and voltage responses of a two-dimensional gapped semi-Dirac system with merging Dirac nodes along the $x$ direction under the influence of a weak magnetic field ($B$), using the…

Mesoscale and Nanoscale Physics · Physics 2023-07-12 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

The problem of the quantizations of the $L$-shaped billiards and the like ones, i.e. each angle of which is equal to $\pi/2$ or $3\pi/2$, is considered using as a tool the Fourier series expansion method. The respective wave functions and…

Quantum Physics · Physics 2023-11-07 Stefan Giller

We show that the enhancement of backscattering responsible for the weak localization is accompanied by reduction of the scattering in other directions. A simple quasiclassical interpretation of this phenomenon is presented in terms of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii

We study vortex structure in a two-band superconductor, in which one band is ballistic and quasi-two-dimensional (2D), and the other is diffusive and three-dimensional (3D). A circular cell approximation of the vortex lattice within the…

Superconductivity · Physics 2008-12-21 K. Tanaka , M. Eschrig

We challenge two foundational principles of localization physics by analyzing conductance fluctuations in two dimensions with unprecedented precision: (i) the Thouless criterion, which defines localization as insensitivity to boundary…

Disordered Systems and Neural Networks · Physics 2026-03-03 Nyayabanta Swain , Shaffique Adam , Gabriel Lemarié

Landau's quantization for incompletely nested Fermi surfaces is known to give rise to magnetic-field-induced spin-density waves(FISDW) in two-dimensional organic metals. Here we show that three-dimensional(3D) systems can have 3D-specific…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Koshino , H. Aoki , T. Osada

Polygonal billiards are an example of pseudo-chaotic dynamics, a combination of integrable evolution and sudden jumps due to conical singular points that arise from the corners of the polygons. Such pseudo-chaotic behaviour, often…

Statistical Mechanics · Physics 2021-08-11 Jordan Orchard , Lamberto Rondoni , Carlos Mejia-Monasterio , Federico Frascoli

A variety of mesoscopic systems can be represented as a billiard with a random coupling to the exterior at the boundary. Examples include quantum dots with multiple leads, quantum corrals with different kinds of atoms forming the boundary,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Igor Rozhkov , Ganpathy Murthy
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