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 …

[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 …

Anderson localization of thermal phonons leads to a thermal conductivity maximum

J Mendoza, G Chen - Nano letters, 2016 - ACS Publications
Our elastic model of ErAs disordered GaAs/AlAs superlattices exhibits a local thermal
conductivity maximum as a function of length due to exponentially suppressed Anderson …

Probability distributions of linear statistics in chaotic cavities and associated phase transitions

P Vivo, SN Majumdar, O Bohigas - Physical Review B—Condensed Matter and …, 2010 - APS
We establish large deviation formulas for linear statistics on the N transmission eigenvalues
{T i} of a chaotic cavity, in the framework of random matrix theory. Given any linear statistics …

Critical regime of two-dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates

P Markoš, L Schweitzer - Journal of Physics A: Mathematical and …, 2006 - iopscience.iop.org
The critical two-terminal conductance gc and the spatial fluctuations of critical eigenstates
are investigated for a disordered two-dimensional model of non-interacting electrons subject …

Statistics of conductance and shot-noise power for chaotic cavities

HJ Sommers, W Wieczorek, DV Savin - arXiv preprint arXiv:0710.5370, 2007 - arxiv.org
We report on an analytical study of the statistics of conductance, $ g $, and shot-noise
power, $ p $, for a chaotic cavity with arbitrary numbers $ N_ {1, 2} $ of channels in two …

Conductance distribution in strongly disordered mesoscopic systems in three dimensions

KA Muttalib, P Markoš, P Wölfle - Physical Review B—Condensed Matter and …, 2005 - APS
Recent numerical simulations have shown that the distribution of conductances P (g) in
three-dimensional strongly localized systems differs significantly from the expected log …

Transport regimes in surface disordered graphene sheets

E Louis, JA Vergés, F Guinea, G Chiappe - Physical Review B—Condensed …, 2007 - APS
The conductance G of graphene stripes (of width W and length L) with surface disorder and
near the Dirac point is investigated numerically. Incoherent metallic leads are attached to the …

Conductance distribution in quasi-one-dimensional disordered quantum wires

KA Muttalib, P Wölfle, VA Gopar - Annals of Physics, 2003 - Elsevier
We develop a simple systematic method, valid for all strengths of disorder, to obtain
analytically the full distribution of conductances P (g) for a quasi-one-dimensional wire …

Controlling conductance statistics of quantum wires by driving ac fields

VA Gopar, RA Molina - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We calculate the entire distribution of the conductance P (G) of a one-dimensional
disordered system—quantum wire—subject to a time-dependent field. Our calculations are …