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We study the Landau level localization and scaling properties of a disordered two-dimensional electron gas in the presence of a strong external magnetic field. The impurities are treated as random distributed scattering centers with…

凝聚态物理 · 物理学 2009-10-22 Dongzi Liu , S. Das Sarma

We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by its length and by its action, which is proportional to the…

统计力学 · 物理学 2007-11-06 D. Boose , J. M. Luck

We show that intensity of a wave created by a source embedded inside a three-dimensional disordered medium exhibits a non-universal space-time correlation which depends explicitly on the short-distance properties of disorder, source size,…

无序系统与神经网络 · 物理学 2009-10-31 S. E. Skipetrov , R. Maynard

Motivated by anomalously large conductivity anisotropy in layered materials, we propose a simple model of randomly spaced potential barriers (mimicking stacking faults) with isotropic impurities in between the barriers. We solve this model…

介观与纳米尺度物理 · 物理学 2015-05-13 Dmitrii L. Maslov , Vladimir I. Yudson , Andres M. Somoza , Miguel Ortuño

We study the problem of wave transport in a one-dimensional disordered system, where the scatterers of the chain are $n$ barriers and wells with statistically independent intensities and with a spatial extension $\l_c$ which may contain an…

无序系统与神经网络 · 物理学 2015-05-20 Marlos Diaz , Pier A. Mello , Miztli Yepez , Steven Tomsovic

We prove Anderson localization in a disordered photonic crystal waveguide by measuring the ensemble-averaged localization length which is controlled by the dispersion of the photonic crystal waveguide. In such structures, the localization…

光学 · 物理学 2015-05-18 P. D. Garcia , S. Smolka , S. Stobbe , P. Lodahl

The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range in the finite system. We find…

无序系统与神经网络 · 物理学 2020-08-21 C. V. Morfonios , M. Röntgen , F. K. Diakonos , P. Schmelcher

We study the propagation and localization of classical waves in one-dimensional disordered structures composed of alternating layers of left- and right-handed materials (mixed stacks) and compare them to the structures composed of different…

We investigate Anderson localization on various 1D structures having flat bands. The main focus is on the scaling laws obeyed by the localization length at weak disorder in the vicinity of flat-band energies. A careful distinction is made…

介观与纳米尺度物理 · 物理学 2019-04-26 J. M. Luck

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

We study the expansion of an initially strongly confined wave packet in a one-dimensional weak random potential with short correlation length. At long times, the expansion of the wave packet comes to a halt due to destructive interferences…

量子物理 · 物理学 2016-07-06 Juan Pablo Ramírez Valdes , Thomas Wellens

The dynamics of a disordered nonlinear chain can be either regular or chaotic with a certain probability. The chaotic behavior is often associated with the destruction of Anderson localization by the nonlinearity. In the presentwork it is…

无序系统与神经网络 · 物理学 2015-06-05 D. M. Basko

We investigate the effect of disorder in the laser intensity on the dynamics of dark-state polaritons in an array of 20 cavities, each containing an ensemble of four-level atoms that is described by a Bose-Hubbard Hamiltonian. We examine…

介观与纳米尺度物理 · 物理学 2020-05-15 Abuenameh Aiyejina , Roger Andrews

We study the strong localization of atomic matter waves in a disordered potential created by atoms pinned at the nodes of a lattice, for both three-dimensional (3D) and two-dimensional (2D) systems. The localization length of the matter…

量子气体 · 物理学 2015-05-19 Mauro Antezza , Yvan Castin , David Hutchinson

In the weak disordered regime we provide analytical expressions for the electron localization lengths in quasi-one dimensional (Q1D) disordered quantum wire with hard wall and periodic boundary conditions. They are exact up to order $W^2$…

无序系统与神经网络 · 物理学 2011-06-07 Vladimir Gasparian , Emilio Cuevas

We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous reference can be uniquely determined by (single-)scattered…

偏微分方程分析 · 数学 2026-05-01 Matti Lassas , Shiqi Ma , Lauri Oksanen , Mikko Salo , Jian Zhai

We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional ensemble of immobile two-level atoms arranged in a diamond lattice and coupled by the electromagnetic field.…

无序系统与神经网络 · 物理学 2020-10-21 S. E. Skipetrov

For two particles in a disordered chain of length $L$ with on-site interaction $U$, a duality transformation maps the behavior at weak interaction onto the behavior at strong interaction. Around the fixed point of this transformation, the…

强关联电子 · 物理学 2009-10-31 Xavier Waintal , Dietmar Weinmann , Jean-Louis Pichard

We study the nature of collective excitations in harmonic chains with masses exhibiting long-range correlated disorder with power spectrum proportional to $1/k^{\alpha}$, where $k$ is the wave-vector of the modulations on the random masses…

无序系统与神经网络 · 物理学 2009-11-07 F. A. B. F. de Moura , M. D. Coutinho-Filho , E. P. Raposo , M. L. Lyra

Wavefunctions in chaotic and disordered quantum billiards are studied experimentally using thin microwave cavities. The chaotic wavefunctions display universal density distributions and density auto-correlations in agreement with…

chao-dyn · 物理学 2016-08-31 A. Kudrolli , V. Kidambi , S. Sridhar