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 …

Unifying the Anderson transitions in Hermitian and non-Hermitian systems

X Luo, Z **ao, K Kawabata, T Ohtsuki, R Shindou - Physical Review Research, 2022 - APS
Non-Hermiticity enriches the tenfold Altland-Zirnbauer symmetry class into the 38-fold
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …

Scaling at chiral quantum critical points in two dimensions

L Schweitzer, P Markoš - Physical Review B—Condensed Matter and …, 2012 - APS
We study the localization properties of electrons moving on two-dimensional bipartite lattices
in the presence of disorder. The models investigated exhibit a chiral symmetry and belong to …

Disordered two-dimensional electron systems with chiral symmetry

P Markoš, L Schweitzer - Physica B: Condensed Matter, 2012 - Elsevier
We review the results of our recent numerical investigations on the electronic properties of
disordered two dimensional systems with chiral unitary, chiral orthogonal, and chiral …

Fractal photonic bandgap fibers

N Watari, A Takano, A Naito, T Watanabe, Y Fujiya… - Optics …, 2020 - opg.optica.org
Photonic bandgap fibers have a critical constraint determined by wavelength. The principle
of scale invariance requires that features remain unchanged even as the scale of an object …