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Emerging experimental platforms use amorphousness, a constrained form of disorder, to tailor meta-material properties. We study localization under this type of disorder in a family of 2D models generalizing recent experiments on photonic…

无序系统与神经网络 · 物理学 2025-08-19 Elizabeth J. Dresselhaus , Alexander Avdoshkin , Zhetao Jia , Matteo Secli , Boubacar Kante , Joel E. Moore

We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finite-size scaling (FSS). The nearest-neighbor hopping elements are chosen…

无序系统与神经网络 · 物理学 2007-05-23 P. Cain , R. A. Roemer , M. Schreiber

We study Anderson localization of a one-dimensional quantum droplet in a speckle-like potential employing the generalized Gross-Pitaevskii equation. We compute the droplet width, density profiles, diffusion exponent and coefficient, and the…

无序系统与神经网络 · 物理学 2025-12-09 Zohra Mehri , Abdeaali Boudjemaa

We consider a one-dimensional Anderson model where the potential decays in average like $n^{-\alpha}$, $\alpha>0$. This simple model is known to display a rich phase diagram with different kinds of spectrum arising as the decay rate…

数学物理 · 物理学 2020-01-23 Olivier Bourget , Gregorio R. Moreno Flores , Amal Taarabt

Random scattering of photons in disordered one-dimensional solids gives rise to an exponential suppression of transmission, which is known as Anderson localization. Here, we experimentally study Anderson localization in a superconducting…

We theoretically investigate the effects of atomic defect related short-range disorders and electron-electron interactions on Anderson type localization and the magnetic properties of hexagonal armchair graphene quantum dots using an…

介观与纳米尺度物理 · 物理学 2018-08-01 A. Altıntaş , A. D. Güçlü

Using the level--spacing distribution and the total probability function of the numbers of levels in a given energy interval we analyze the crossover of the level statistics between the delocalized and the localized regimes. By numerically…

凝聚态物理 · 物理学 2009-10-28 Isa Kh. Zharekeshev , Bernhard Kramer

The method proposed by the present authors to deal analytically with the problem of Anderson localization via disorder [J.Phys.: Condens. Matter {\bf 14} (2002) 13777] is generalized for higher spatial dimensions D. In this way the…

无序系统与神经网络 · 物理学 2009-11-11 V. N. Kuzovkov , W. von Niessen

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $\rho_g(\omega)$, as an order parameter for the Anderson transition is examined. In the context…

强关联电子 · 物理学 2009-11-11 Yun Song , W. A. Atkinson , R. Wortis

We study a disordered weakly-coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three dimensional lattice of size up to $20\times20\times20$ in the presence of a random…

超导电性 · 物理学 2020-11-18 Bo Fan , Antonio M. García-García

The model of a strongly correlated system in which periodically spaced Anderson-Hubbard centers are introduced into narrow-band metal is considered. Besides the interactions between localized magnetic moments and strong on-site Coulomb…

强关联电子 · 物理学 2023-07-19 Yuriy Skorenkyy , Leonid Didukh , Oleksandr Kramar , Yuriy Dovhopyaty

The transition from a weak-disorder (diffusive phase) to a strong-disorder (localized phase) for directed polymers in a random environment is a well studied phenomenon. In the most common setup, it is established that the phase transition…

概率论 · 数学 2019-03-13 Roberto Viveros

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

光学 · 物理学 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

We study the Anderson localization in a weakly coupled multilayer system with a strong magnetic field perpendicular to the layers. The phase diagram of 1/3 flux quanta per plaquette is obtained. The phase diagram shows that a…

凝聚态物理 · 物理学 2009-10-31 X. R. Wang , C. Y. Wong , X. C. Xie

The ferromagnetic phase diagram of the periodic Anderson model is calculated using dynamical mean-field theory in combination with the modified perturbation theory. Concentrating on the intermediate valence regime, the phase boundaries are…

强关联电子 · 物理学 2009-10-31 D. Meyer , W. Nolting

The ability to load ultracold atoms at a well-defined energy in a disordered potential is a crucial tool to study quantum transport, and in particular Anderson localization. In this paper, we present a new method for achieving that goal by…

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

无序系统与神经网络 · 物理学 2019-09-11 Seulong Kim , Kihong Kim

Phase transitions are prevalent throughout physics, spanning thermal phenomena like water boiling to magnetic transitions in solids. They encompass cosmological phase transitions in the early universe and the transition into a quark-gluon…

无序系统与神经网络 · 物理学 2025-04-03 Farid Madani , Maxime Denis , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

Disorder can fundamentally modify the transport properties of a system. A striking example is Anderson localization, suppressing transport due to destructive interference of propagation paths. In inhomogeneous many-body systems, not all…

We study charge transport in one-dimensional graphene superlattices created by applying layered periodic and disordered potentials. It is shown that the transport and spectral properties of such structures are strongly anisotropic. In the…

介观与纳米尺度物理 · 物理学 2010-11-09 Yury P. Bliokh , Valentin Freilikher , Sergey Savel'ev , Franco Nori