Quantum anomalous Hall effect in magnetic topological insulators

J Wang, B Lian, SC Zhang - Physica Scripta, 2015 - iopscience.iop.org
The search for topologically non-trivial states of matter has become an important goal for
condensed matter physics. Here, we give a theoretical introduction to the quantum …

Localization of Dirac fermions in finite-temperature gauge theory

M Giordano, TG Kovács - Universe, 2021 - mdpi.com
It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can
undergo an Anderson-type localization transition. This transition affects eigenmodes in the …

Theory of the topological Anderson insulator

CW Groth, M Wimmer, AR Akhmerov, J Tworzydło… - Physical review …, 2009 - APS
We present an effective medium theory that explains the disorder-induced transition into a
phase of quantized conductance, discovered in computer simulations of HgTe quantum …

Universality classes of the Anderson transitions driven by non-Hermitian disorder

X Luo, T Ohtsuki, R Shindou - Physical Review Letters, 2021 - APS
The interplay between non-Hermiticity and disorder plays an important role in condensed
matter physics. Here, we report the universal critical behaviors of the Anderson transitions …

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 …

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 …

Unifying the Anderson transitions in Hermitian and non-Hermitian systems

X Luo, Z Xiao, 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 …

Transition from metal to higher-order topological insulator driven by random flux

CA Li, SB Zhang, JC Budich, B Trauzettel - Physical Review B, 2022 - APS
Random flux is commonly believed to be incapable of driving full metal-insulator transitions
in noninteracting systems. Here we show that random flux can after all induce a full metal …

Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model

EW Liang, LZ Tang, DW Zhang - Physical Review B, 2024 - APS
We explore quantum criticality and Kibble-Zurek scaling (KZS) in the Aubry-André-Stark
(AAS) model, where the Stark field of strength ɛ is added onto the one-dimensional …

[HTML][HTML] The integer quantum Hall plateau transition is a current algebra after all

MR Zirnbauer - Nuclear Physics B, 2019 - Elsevier
The scaling behavior near the transition between plateaus of the Integer Quantum Hall Effect
(IQHE) has traditionally been interpreted on the basis of a two-parameter renormalization …