Skip to Main content Skip to Navigation
Journal articles

Finite-size scaling analysis of localization transition for scalar waves in a three-dimensional ensemble of resonant point scatterers

Abstract : We use the random Green's matrix model to study the scaling properties of the localization transition for scalar waves in a three-dimensional (3D) ensemble of resonant point scatterers. We show that the probability density p(g) of normalized decay rates of quasimodes g is very broad at the transition and in the localized regime and that it does not obey a single-parameter scaling law for finite system sizes that we can access. The single-parameter scaling law holds, however, for the small-g part of p(g) which we exploit to estimate the critical exponent ν of the localization transition. Finite-size scaling analysis of small-q percentiles g_q of p(g) yields an estimate ν≃1.55±0.07. This value is consistent with previous results for the Anderson transition in the 3D orthogonal universality class and suggests that the localization transition under study belongs to the same class.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01358434
Contributor : Sergey Skipetrov <>
Submitted on : Wednesday, August 31, 2016 - 5:34:58 PM
Last modification on : Monday, January 18, 2021 - 12:20:06 PM

Links full text

Identifiers

Collections

CNRS | UGA | LPMMC

Citation

Sergey Skipetrov. Finite-size scaling analysis of localization transition for scalar waves in a three-dimensional ensemble of resonant point scatterers. Physical Review B: Condensed Matter and Materials Physics, American Physical Society, 2016, 94, pp.064202. ⟨10.1103/PhysRevB.94.064202⟩. ⟨hal-01358434⟩

Share

Metrics

Record views

142