Random network models and quantum phase transitions in two dimensions

B Kramer, T Ohtsuki, S Kettemann - Physics reports, 2005 - Elsevier
An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

Marginal Anderson localization and many-body delocalization

R Nandkishore, AC Potter - Physical Review B, 2014 - APS
We consider d-dimensional systems which are localized in the absence of interactions, but
whose single-particle localization length diverges near a discrete set of (single-particle) …

Extended states in disordered systems: role of off-diagonal correlations

W Zhang, SE Ulloa - Physical Review B, 2004 - APS
We study one-dimensional systems with random diagonal disorder but off-diagonal short-
range correlations imposed by structural constrains. We find that these correlations generate …

Correlated quantum percolation in the lowest Landau level

N Sandler, HR Maei, J Kondev - Physical Review B—Condensed Matter and …, 2004 - APS
Our understanding of localization in the integer quantum Hall effect is informed by a
combination of semiclassical models and percolation theory. Motivated by the effect of …

Effects of scale-free disorder on the Anderson metal-insulator transition

ML Ndawana, RA Römer, M Schreiber - arxiv preprint cond-mat/0402018, 2004 - arxiv.org
We investigate the three-dimensional Anderson model of localization via a modified transfer-
matrix method in the presence of scale-free diagonal disorder characterized by a disorder …

Real-space renormalization-group approach to the integer quantum Hall effect

P Cain, RA Römer - International Journal of Modern Physics B, 2005 - World Scientific
We review recent results based on an application of the real-space renormalization group
(RG) approach to a network model for the integer quantum Hall (QH) transition. We …

On the issue of universality of critical exponents in the quantum Hall effect mode

YG Arapov, SV Gudina, EV Deryushkina… - Low Temperature …, 2019 - pubs.aip.org
A critical analysis of the work performed within the framework of the two-parameter scaling
concept is carried out, and a brief review of modern percolation models for the quantum …

The Anderson metal-insulator transition in the presence of scale-free disorder

ML Ndawana, RA Römer, M Schreiber - Europhysics Letters, 2004 - iopscience.iop.org
We investigate the three-dimensional Anderson model of localization via a modified transfer
matrix method in the presence of scale-free diagonal disorder characterized by a disorder …

[책][B] Anderson Localization in Low-Dimensional Systems with Long-Range Correlated Disorder

GM Petersen - 2013 - search.proquest.com
It has been known for over a half century that when disorder is introduced into a crystalline
system through impurities, vacancies, grain boundaries, or other mechanisms that break the …

Single parameter scaling of one-dimensional systems with real-space long-range correlated disorder

G Petersen, N Sandler - arxiv preprint arxiv:1206.3370, 2012 - arxiv.org
Advances in material growth methods have renewed the interest in localization of one-
dimensional systems in the presence of scale-free long-range correlated disorder potentials …