The abundance of bulk and boundary topologies in higher-order topological phases offer
remarkable tunability and diversity to boundary states but also pose a challenge to their …

Higher-order topological insulators, as a novel family of topological phases, are a hot frontier
in condensed-matter physics and classical waves due to their adherence to unconventional …

Higher-order topological phases (HOTPs) host exotic topological states that go beyond the
traditional bulk-boundary correspondence. Up to now, there is still a lack of experimentally …

The Kibble-Zurek mechanism predicts a universal scaling behavior of the defect production
when a system is slowly quenched across a critical phase transition point. Here, we discover …

In a class of systems, there are gapped boundary-localized states described by a boundary
Hamiltonian. The topological classification of gapped boundary Hamiltonians can lead to the …

We construct a family of chiral symmetry-protected third-order topological insulators by
stacking Su-Schrieffer-Heeger (SSH) chains and provide a unified topological …