Band gap formation and Anderson localization in disordered photonic materials with structural correlations

LS Froufe-Pérez, M Engel, JJ Sáenz… - Proceedings of the …, 2017‏ - pnas.org
Disordered dielectric materials with structural correlations show unconventional optical
behavior: They can be transparent to long-wavelength radiation, while at the same time …

[PDF][PDF] Numerical analysis of the Anderson localization

P Markos - arxiv preprint cond-mat/0609580, 2006‏ - arxiv.org
arxiv:cond-mat/0609580v1 [cond-mat.mes-hall] 22 Sep 2006 Page 1 arxiv:cond-mat/0609580v1
[cond-mat.mes-hall] 22 Sep 2006 submitted to acta physica slovaca 1– 123 NUMERICAL …

Kardar-Parisi-Zhang physics in the density fluctuations of localized two-dimensional wave packets

S Mu, J Gong, G Lemarié - Physical Review Letters, 2024‏ - APS
We identify the key features of Kardar-Parisi-Zhang (KPZ) universality class in the
fluctuations of the wave density logarithm in a two-dimensional Anderson localized wave …

Localization challenges quantum chaos in the finite two-dimensional Anderson model

J Šuntajs, T Prosen, L Vidmar - Physical Review B, 2023‏ - APS
It is believed that the two-dimensional (2D) Anderson model exhibits localization for any
nonzero disorder in the thermodynamic limit and it is also well known that the finite-size …

Universal distribution functions in two-dimensional localized systems

AM Somoza, M Ortuno, J Prior - Physical Review Letters, 2007‏ - APS
We find the conductance distribution function of the two-dimensional Anderson model in the
strongly localized limit. The fluctuations of ln⁡ g grow with lateral size as L 1/3 and follow a …

KPZ fluctuations in finite volume

S Prolhac - SciPost Physics Lecture Notes, 2024‏ - scipost.org
These lecture notes, adapted from the habilitation thesis of the author, survey in a first part
various exact results obtained in the past few decades about KPZ fluctuations in one …

Anderson transition on the Cayley tree as a traveling wave critical point for various probability distributions

C Monthus, T Garel - Journal of Physics A: Mathematical and …, 2008‏ - iopscience.iop.org
For Anderson localization on the Cayley tree, we study the statistics of various observables
as a function of the disorder strength W and the number N of generations. We first consider …

Glassy properties of anderson localization: Pinning, avalanches, and chaos

G Lemarié - Physical review letters, 2019‏ - APS
I present the results of extensive numerical simulations, which reveal the glassy properties of
Anderson localization in dimension two at zero temperature: pinning, avalanches, and …

Scaling behavior and emergent conductance plateau with uniform conductance distribution in disordered topological insulators with a domain wall structure

Y Long, M Wei, F Xu, J Wang - Physical Review B, 2025‏ - APS
In this study, we numerically investigate the transport properties of disordered topological
insulators (TIs) with a domain wall (DW) structure. Three typical models are studied …

Single parameter scaling in the correlated Anderson model

NA Khan, S Muhammad, M Sajid - Physica E: Low-dimensional Systems …, 2022‏ - Elsevier
We numerically investigate the single parameter scaling (SPS) hypothesis in a non-
interacting one-dimensional correlated Anderson model. In particular, we examine the role …