Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Topological quantum chemistry and symmetry-based indicators have facilitated large-scale
searches for materials with topological properties at the Fermi energy (EF). We report the …

We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached
to both surface and hinge Fermi arcs. We identify a new type of Weyl node, which we dub a …

We highlight a general theory to engineer arbitrary Hermitian tight-binding lattice models in
electrical LC circuits, where the lattice sites are replaced by the electrical nodes, connected …

Following a general protocol of periodically driving static first-order topological phases
(supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses …

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-
order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary …

Typical higher-order topological systems require the fine-tuning of hop** textures and
external fields, which considerably hinders their practical realization. Based on a simple …

We theoretically investigate the engineering of two-dimensional second-order topological
insulators with corner states by coupling two first-order topological insulators. We find that …

Topological insulators (TIs) are an exciting discovery because of their robustness against
disorder and interactions. Recently, second-order TIs have been attracting increasing …

We study the disorder-induced phase transition of higher-order Weyl semimetals (HOWSMs)
and the fate of the topological features of disordered HOWSMs. We obtain a global phase …