Non-Abelian quantum geometric tensor in degenerate topological semimetals

HT Ding, CX Zhang, JX Liu, JT Wang, DW Zhang… - Physical Review A, 2024 - APS
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 …

Non-Abelian Hopf-Euler insulators

WJ Jankowski, AS Morris, Z Davoyan, A Bouhon… - Physical Review B, 2024 - APS
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 …

Interferometry of non-abelian band singularities and euler class topology

O Breach, RJ Slager, FN Ünal - Physical Review Letters, 2024 - APS
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 …

[HTML][HTML] Observation of an acoustic topological Euler insulator with meronic waves

B Jiang, A Bouhon, SQ Wu, ZL Kong, ZK Lin, RJ Slager… - Science Bulletin, 2024 - Elsevier
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 …

Quantized Integrated Shift Effect in Multigap Topological Phases

WJ Jankowski, RJ Slager - Physical Review Letters, 2024 - APS
We show that certain three-dimensional multigap topological insulators can host quantized
integrated shift photoconductivities due to bulk invariants that are defined under reality …

Exact projected entangled pair ground states with topological Euler invariant

TB Wahl, WJ Jankowski, A Bouhon… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

Quantum geometric bound and ideal condition for Euler band topology

S Kwon, BJ Yang - Physical Review B, 2024 - APS
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 …

Nonlinear photomagnetization in insulators

BS Mendoza, N Arzate-Plata… - arXiv preprint arXiv …, 2024 - arxiv.org
Nonlinear photomagnetization is a process by which an oscillating electric field can induce a
static magnetization. We show that all 32 crystallographic point groups admit spin …

Quantized shift response in multi-gap topological phases

WJ Jankowski, RJ Slager - arXiv preprint arXiv:2402.13245, 2024 - arxiv.org
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 …

The Drude weight of a flatband metal

O Antebi, J Mitscherling, T Holder - arXiv preprint arXiv:2407.09599, 2024 - arxiv.org
Flatband systems form a new class of materials with seemingly contradictory properties that
challenge our understanding of their transport phenomenology. On the one hand, the large …