[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 …

Transfer matrix study of the Anderson transition in non-Hermitian systems

X Luo, T Ohtsuki, R Shindou - Physical Review B, 2021 - APS
The Anderson transition driven by non-Hermitian (NH) disorder has been extensively
studied in recent years. In this paper, we present in-depth transfer matrix analyses of the …

Ioffe-Regel criterion for Anderson localization in the model of resonant point scatterers

SE Skipetrov, IM Sokolov - Physical Review B, 2018 - APS
We establish a phase diagram of a model in which scalar waves are scattered by resonant
point scatterers pinned at random positions in the free three-dimensional space. A transition …

Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry relation under typical averaging

LJ Vasquez, A Rodriguez, RA Römer - Physical Review B—Condensed Matter …, 2008 - APS
The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the
three-dimensional Anderson model of localization is characterized by its associated …

Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. II. Symmetry relation under ensemble averaging

A Rodriguez, LJ Vasquez, RA Römer - Physical Review B—Condensed Matter …, 2008 - APS
We study the multifractal analysis (MFA) of electronic wave functions at the localization-
delocalization transition in the three-dimensional Anderson model for very large system …

Numerical estimation of the function in two-dimensional systems with spin-orbit coupling

Y Asada, K Slevin, T Ohtsuki - Physical Review B—Condensed Matter and …, 2004 - APS
We report a numerical study of Anderson localization in a two-dimensional (2D) system of
noninteracting electrons with spin-orbit coupling. We analyze the scaling of the renormalized …

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

SE Skipetrov - Physical Review B, 2016 - APS
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 …

Localization of light in a three-dimensional disordered crystal of atoms

SE Skipetrov - Physical Review B, 2020 - APS
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 …

Finite size scaling analysis of the anderson transition

B Kramer, A MacKinnon, T Ohtsuki… - International Journal of …, 2010 - World Scientific
This chapter describes the progress made during the past three decades in the finite size
scaling analysis of the critical phenomena of the Anderson transition. The scaling theory of …

Search for Anderson localization of light by cold atoms in a static electric field

SE Skipetrov, IM Sokolov - Physical Review B, 2019 - APS
We explore the potential of a static electric field to induce Anderson localization of light in a
large three-dimensional cloud of randomly distributed, immobile atoms with a …