We discuss a class of three-band non-Abelian topological insulators in three dimensions
that carry a single bulk Hopf index protected by spatiotemporal (PT) inversion symmetry …

We report on a class of gapped projected entangled pair states (PEPS) with non-trivial Euler
topology motivated by recent progress in band geometry. In the non-interacting limit, these …

We show that certain three-dimensional multigap topological insulators can host quantized
integrated shift photoconductivities due to bulk invariants that are defined under reality …

The quantum geometric tensor characterizes the complete geometric properties of quantum
states, with the symmetric part being the quantum metric and the antisymmetric part being …

Topological band theory has conventionally been concerned with the topology of bands
around a single gap. Only recently non-Abelian topologies that thrive on involving multiple …

In systems with a real Bloch Hamiltonian band nodes can be characterized by a non-Abelian
frame-rotation charge. The ability of these band nodes to annihilate pairwise is path …

Nonlinear photomagnetization is a process by which an oscillating electric field induces a
static magnetization. We show that all 32 crystallographic point groups admit such spin …

In two-dimensional systems with space-time inversion symmetry, Dirac nodes (DNs) carry
non-Abelian topological charges which induce intriguing momentum space braiding …

Understanding the relationship between quantum geometry and topological invariants is a
central problem in the study of topological states. In this work, we establish the relationship …

We show that certain 3D multi-gap topological insulators can host quantized shift
photoconductivities due to bulk invariants that are defined under reality conditions imposed …