Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

Topological phases with insulating bulk and gapless surface or edge modes have attracted
intensive attention because of their fundamental physics implications and potential …

We investigate disorder-driven topological phase transitions in quantized electric
quadrupole insulators in two dimensions. We show that chiral symmetry can protect the …

The quantum phase transition between the three dimensional Dirac semimetal and the
diffusive metal can be induced by increasing disorder. Taking the system of a disordered Z 2 …

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 apply the artificial neural network in a supervised manner to map out the quantum phase
diagram of disordered topological superconductors in class DIII. Given the disorder that …

Different disorders lead to various localization and topological phenomena in condensed
matter and artificial systems. Here we study the topological and localization properties in …

We study the construction of programable integrated circuits with the help of disordered
Chern insulators. Specifically, the schemes for low dissipation logic devices and connecting …

The effects of downfolding a Brillouin zone can open gaps and quench the kinetic energy by
flattening bands. Quasiperiodic systems are extreme examples of this process, which leads …

Disorder inevitably exists in realistic samples, manifesting itself in various exotic properties
for the topological states. In this paper, we summarize and briefly review the work completed …