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 …

We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

We study surface states of topological crystalline insulators and superconductors protected
by inversion symmetry. These fall into the category of “higher-order” topological insulators …

We analyze a two-dimensional Kondo lattice model with special emphasis on non-Hermitian
properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our …

We study the classification of symmetry-protected topological (SPT) phases with crystalline
symmetry (cSPT phases). Focusing on bosonic cSPT phases in two and three dimensions …

Symmetry plays a fundamental role in understanding complex quantum matter, particularly
in classifying topological quantum phases, which have attracted great interests in the recent …

We provide a classification of invertible topological phases of interacting fermions with
symmetry in two spatial dimensions for general fermionic symmetry groups G f and general …

We outline a holographic framework that attempts to unify Landau and beyond-Landau
paradigms of quantum phases and phase transitions. Leveraging a modern understanding …

We consider symmetry-protected topological (SPT) phases with crystalline point group
symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be …

In the framework of Atiyah's axioms of topological quantum field theory with unitarity, we give
a direct proof of the fact that symmetry protected topological phases without Hall effects are …