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 …

[图书][B] Wave propagation: from electrons to photonic crystals and left-handed materials

P Markos, CM Soukoulis - 2008 - degruyter.com
This textbook offers the first unified treatment of wave propagation in electronic and
electromagnetic systems and introduces readers to the essentials of the transfer matrix …

Localization and the Kosterlitz-Thouless transition in disordered graphene

YY Zhang, J Hu, BA Bernevig, XR Wang, XC Xie… - Physical review …, 2009 - APS
We investigate disordered graphene with strong long-range impurities. Contrary to the
common belief that delocalization should persist in such a system against any disorder, as …

[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 …

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 …

Scaling of the Fock-space propagator and multifractality across the many-body localization transition

J Sutradhar, S Ghosh, S Roy, DE Logan, S Mukerjee… - Physical Review B, 2022 - APS
We implement a recursive Green's function method to extract the Fock space (FS)
propagator and associated self-energy across the many-body localization (MBL) transition …

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 …

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 …

Criticality and entanglement in random quantum systems

G Refael, JE Moore - Journal of physics a: mathematical and …, 2009 - iopscience.iop.org
We review studies of entanglement entropy in systems with quenched randomness,
concentrating on universal behavior at strongly random quantum critical points. The disorder …