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 …

Open questions in CMR manganites, relevance of clustered states and analogies with other compounds including the cuprates

E Dagotto - New Journal of Physics, 2005 - iopscience.iop.org
This is an informal paper that contains a list of'things we know'and'things we do not know'in
manganites and other compounds. It is adapted from the Conclusions chapter of a recent …

Multifractal finite-size scaling and universality at the Anderson transition

A Rodriguez, LJ Vasquez, K Slevin, RA Römer - Physical Review B …, 2011 - APS
We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …

[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 …

Spectral properties of three-dimensional Anderson model

J Šuntajs, T Prosen, L Vidmar - Annals of Physics, 2021 - Elsevier
The three-dimensional Anderson model represents a paradigmatic model to understand the
Anderson localization transition. In this work we first review some key results obtained for …

Reconciling conductance fluctuations and the scaling theory of localization

K Slevin, P Markoš, T Ohtsuki - Physical review letters, 2001 - APS
We reconcile the phenomenon of mesoscopic conductance fluctuations with the single
parameter scaling theory of the Anderson transition. We calculate three averages of the …

Criticality in amorphous topological matter: Beyond the universal scaling paradigm

MN Ivaki, I Sahlberg, T Ojanen - Physical Review Research, 2020 - APS
We establish the theory of critical transport in amorphous Chern insulators and show that it
lies beyond the current paradigm of topological criticality epitomized by the quantum Hall …

Critical exponent of the Anderson transition using massively parallel supercomputing

K Slevin, T Ohtsuki - Journal of the Physical Society of Japan, 2018 - journals.jps.jp
To date the most precise estimations of the critical exponent for the Anderson transition have
been made using the transfer matrix method. This method involves the simulation of …

Dimensionality dependence of the wave-function statistics at the Anderson transition

A Mildenberger, F Evers, AD Mirlin - Physical Review B, 2002 - APS
The statistics of critical wave functions at the Anderson transition in three and four
dimensions are studied numerically. The distribution of the inverse participation ratios (IPRs) …

Localization transition on complex networks via spectral statistics

M Sade, T Kalisky, S Havlin, R Berkovits - Physical Review E—Statistical …, 2005 - APS
The spectral statistics of complex networks are numerically studied. The features of the
Anderson metal-insulator transition are found to be similar for a wide range of different …