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We introduce a network model to describe two-dimensional disordered electron systems with spin-orbit scattering. The network model is defined by a discrete unitary time evolution operator. We establish by numerical transfer matrix…

介观与纳米尺度物理 · 物理学 2009-10-31 Rainer Merkt , Martin Janssen , Bodo Huckestein

We investigate the statistical properties of the scattering matrix $S$ describing the electron transport through quasi-one dimensional disordered systems. For weak disorder (metallic regime), the energy dependence of the phase shifts of $S$…

介观与纳米尺度物理 · 物理学 2009-10-30 E. R. Mucciolo , R. A. Jalabert , J. -L. Pichard

The recently derived distributions for the scattering-matrix elements in quantum chaotic systems are not accessible in the majority of experiments, whereas the cross sections are. We analytically compute distributions for the off-diagonal…

量子物理 · 物理学 2017-12-27 Santosh Kumar , Barbara Dietz , Thomas Guhr , Achim Richter

We investigate the propagation of electrons in a circular quantum dot of monolayer Molybdenium disulfide MoS_2, subjected to an electric potential. Using the continuum model, we present analytical expressions for the eigenstates, scattering…

介观与纳米尺度物理 · 物理学 2022-01-06 Abdelhadi Belouad , Abdellatif Kamal , Rachid Houça , El Bouâzzaoui Choubabi , Mohammed El Bouziani

We measure the transmission and reflection amplitudes of microwaves in a resonator coupled to two antennas at room temperature in the regime of weakly overlapping resonances and in a frequency range of 3 to 16 GHz. Below 10.1 GHz the…

混沌动力学 · 物理学 2009-03-04 B. Dietz , T. Friedrich , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer , H. A. Weidenmueller

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

无序系统与神经网络 · 物理学 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

Recent first-principles electron-phonon scattering calculations of heavily-doped semiconductors suggest that a simple DOS scattering model, wherein the electronic scattering rates are assumed to be proportional to the density-of-states,…

材料科学 · 物理学 2020-02-26 Cameron Rudderham , Jesse Maassen

Elastic scattering of a twisted (Bessel) electron beam by CO$_2$ molecules is studied theoretically at high energies. The molecule's structure is optimized using coupled cluster theory and density functional theory with…

量子物理 · 物理学 2026-04-20 Raul Sheldon Pinto , Rakesh Choubisa

We demonstrate that network models for wave mechanical systems with quenched disorder cover the physics of mesoscopic electrons. The models are constructed as a network of random scattering matrices connecting incoming to outgoing wave…

介观与纳米尺度物理 · 物理学 2007-05-23 Peter Freche , Martin Janssen , Rainer Merkt

We obtain explicit expressions for the correlation functions of transmission and reflection coefficients of coherent electronic waves propagating through a disordered quasi-one-dimensional medium with purely elastic diffusive scattering in…

凝聚态物理 · 物理学 2009-10-22 A. M. S. Macedo

The problem of chaotic scattering in presence of direct processes or prompt responses is mapped via a transformation to the case of scattering in absence of such processes for non-unitary scattering matrices, \tilde S. In the absence of…

介观与纳米尺度物理 · 物理学 2008-04-17 V. A. Gopar , M. Martinez-Mares , R. A. Mendez-Sanchez

The elastic scattering of twisted electrons by diatomic molecules is studied within the framework of the non-relativistic first Born approximation. In this process, the coherent interaction of incident electrons with two molecular centers…

原子物理 · 物理学 2018-10-17 A. V. Maiorova , S. Fritzsche , R. A. Mueller , A. Surzhykov

We analyze statistical probability distributions of intensities collected by diffraction techniques like Low-Energy Electron Diffraction. A simple theoretical model based in hard-sphere potentials and LEED formalism is investigated for…

材料科学 · 物理学 2009-10-31 P. L. de Andres , J. A. Verges

We consider quantum interferences of classically allowed or forbidden electronic trajectories in disordered dielectrics. Without assuming a directed path approximation, we represent a strongly disordered elastic scatterer by its…

凝聚态物理 · 物理学 2009-10-22 Yshai Avishai , Jean-Louis Pichard , Khandker A. Muttalib

We consider the problem of the statistics of the scattering matrix S of a chaotic cavity (quantum dot), which is coupled to the outside world by non-ideal leads containing N scattering channels. The Hamiltonian H of the quantum dot is…

凝聚态物理 · 物理学 2016-08-31 P. W. Brouwer

We report on an extensive study of the elastic scattering time $\tauS$ of matter-waves in optical disordered potentials. Using direct experimental measurements, numerical simulations and comparison with first-order Born approximation based…

We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

介观与纳米尺度物理 · 物理学 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers

Reflection of particles from a disordered or chaotic medium is characterized by a scattering matrix that can be represented as a superposition of resonances. Each resonance corresponds to an eigenstate inside the medium and has a width…

无序系统与神经网络 · 物理学 2025-12-23 M. S. Kurilov , P. M. Ostrovsky

The level statistics in the two dimensional disordered electron systems in magnetic fields (unitary ensemble) or in the presence of strong spin-orbit scattering (symplectic ensemble) are investigated at the Anderson transition points. The…

凝聚态物理 · 物理学 2009-10-28 Tomi Ohtsuki , Yoshiyuki Ono

We study diffusion in a one-dimensional periodic array of scatterers modeled by a simple map. The chaotic scattering process for this map can be changed by a control parameter and exhibits the dynamics of a crisis in chaotic scattering. We…

chao-dyn · 物理学 2008-02-03 R. Klages , J. R. Dorfman
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