The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …

Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

Symmetries of three-dimensional periodic scalar fields are described by 230 space groups
(SGs). Symmetries of three-dimensional periodic (pseudo) vector fields, however, are …

The non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a
point gap on the complex energy plane, has attracted great theoretical and experimental …

Exotic phases of matter can emerge from the interplay between strong electron interactions
and non-trivial topology. Materials that have non-dispersing bands in their electronic band …

We propose a minimal “three-patch model” for the anomalous Hall crystal (AHC), a
topological electronic state that spontaneously breaks both time-reversal symmetry and …

Electron correlations amplify quantum fluctuations and, as such, are recognized as the origin
of many quantum phases. However, whether strong correlations can lead to gapless …

The topological phases of non-interacting fermions have been classified by their
symmetries, culminating in a modern electronic band theory where wavefunction topology …

Inspired from electronic systems, topological photonics aims to engineer new optical devices
with robust properties. In many cases, the ideas from topological phases protected by …