Anomalous localization in low-dimensional systems with correlated disorder

FM Izrailev, AA Krokhin, NM Makarov - Physics Reports, 2012 - Elsevier
This review presents a unified view on the problem of Anderson localization in one-
dimensional weakly disordered systems with short-range and long-range statistical …

Topological one-way large-area waveguide states in magnetic photonic crystals

M Wang, RY Zhang, L Zhang, D Wang, Q Guo… - Physical Review Letters, 2021 - APS
We have theoretically and experimentally achieved large-area one-way transport by using
heterostructures consisting of a domain of an ordinary photonic crystal sandwiched between …

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 …

Deep learning the quantum phase transitions in random two-dimensional electron systems

T Ohtsuki, T Ohtsuki - Journal of the Physical Society of Japan, 2016 - journals.jps.jp
Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

Quantum simulation of disordered systems with cold atoms

JC Garreau - Comptes Rendus. Physique, 2017 - comptes-rendus.academie-sciences …
This paper reviews the physics of quantum disorder in relation with a series of experiments
using laser-cooled atoms exposed to “kicks” of a standing wave, realizing a paradigmatic …

Experimental test of universality of the Anderson transition

M Lopez, JF Clément, P Szriftgiser, JC Garreau… - Physical Review Letters, 2012 - APS
We experimentally test the universality of the Anderson three dimensional metal-insulator
transition, using a quasiperiodic atomic kicked rotor. Nine sets of parameters controlling the …

Critical parameters from a generalized multifractal analysis at the Anderson transition

A Rodriguez, LJ Vasquez, K Slevin, RA Römer - Physical review letters, 2010 - APS
We propose a generalization of multifractal analysis that is applicable to the critical regime of
the Anderson localization-delocalization transition. The approach reveals that the behavior …

Critical state of the Anderson transition: between a metal and an insulator

G Lemarié, H Lignier, D Delande, P Szriftgiser… - Physical review …, 2010 - APS
Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold
atomic gas, we study the transport properties at the critical point of the metal-insulator …

General approach to the critical phase with coupled quasiperiodic chains

X Lin, X Chen, GC Guo, M Gong - Physical Review B, 2023 - APS
In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …

Multifractality in quasienergy space of coherent states as a signature of quantum chaos

Q Wang, M Robnik - Entropy, 2021 - mdpi.com
We present the multifractal analysis of coherent states in kicked top model by expanding
them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of …