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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …