Anderson transitions

F Evers, AD Mirlin - Reviews of Modern Physics, 2008 - APS
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

Drawing phase diagrams of random quantum systems by deep learning the wave functions

T Ohtsuki, T Mano - Journal of the Physical Society of Japan, 2020 - journals.jps.jp
Applications of neural networks to condensed matter physics are becoming popular and
beginning to be well accepted. Obtaining and representing the ground and excited state …

Detection of phase transition via convolutional neural networks

A Tanaka, A Tomiya - Journal of the Physical Society of Japan, 2017 - journals.jps.jp
A convolutional neural network (CNN) is designed to study correlation between the
temperature and the spin configuration of the two-dimensional Ising model. Our CNN is able …

Measurement of a topological edge invariant in a microwave network

W Hu, JC Pillay, K Wu, M Pasek, PP Shum, YD Chong - Physical Review X, 2015 - APS
We report on the measurement of topological invariants in an electromagnetic topological
insulator analog formed by a microwave network, consisting of the winding numbers of …

Nonunitary scaling theory of non-Hermitian localization

K Kawabata, S Ryu - Physical review letters, 2021 - APS
Non-Hermiticity can destroy Anderson localization and lead to delocalization even in one
dimension. However, a unified understanding of non-Hermitian delocalization has yet to be …

Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class

K Slevin, T Ohtsuki - New Journal of Physics, 2014 - iopscience.iop.org
We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …

Observation of the zero Hall plateau in a quantum anomalous Hall insulator

Y Feng, X Feng, Y Ou, J Wang, C Liu, L Zhang, D Zhao… - Physical review …, 2015 - APS
We report experimental investigations on the quantum phase transition between the two
opposite Hall plateaus of a quantum anomalous Hall insulator. We observe a well-defined …

Field theory of non-Hermitian disordered systems

Z Chen, K Kawabata, A Kulkarni, S Ryu - Physical Review B, 2025 - APS
The interplay between non-Hermiticity and disorder gives rise to unique universality classes
of Anderson transitions. Here, we develop a field-theoretical description of non-Hermitian …

Universal scaling of the quantum anomalous Hall plateau transition

J Wang, B Lian, SC Zhang - Physical Review B, 2014 - APS
We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in
magnetic topological insulators. We introduce a microscopic model for the plateau transition …

Chiral quantum optics in the bulk of photonic quantum Hall systems

D De Bernardis, FS Piccioli, P Rabl, I Carusotto - PRX Quantum, 2023 - APS
We study light-matter interactions in the bulk of a two-dimensional photonic lattice system,
where photons are subject to the combined effect of a synthetic magnetic field and an …