Stacking orders in 2D van der Waals (vdW) materials dictate the relative sliding (lateral
displacement) and twisting (rotation) between atomically thin layers. By altering the stacking …

Recently, topolectrical circuits (TECs) boom in studying the topological states of matter. The
resemblance between circuit Laplacians and tight-binding models in condensed matter …

Electronic states in quasicrystals generally preclude a Bloch description, rendering them
fascinating and enigmatic. Owing to their complexity and scarcity, quasicrystals are …

Current understanding of higher-order topological insulators (HOTIs) is based primarily on
crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals …

Symmetry-protected topological crystalline insulators (TCIs) have primarily been
characterized by their gapless boundary states. However, in time-reversal-(T-) invariant …

The distinctive electronic properties of quasicrystals stem from their long-range structural
order, with invariance under rotations and under discrete scale change, but without …

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 …

High-order topological insulators (HOTIs), as generalized from topological crystalline
insulators, are characterized with lower-dimensional metallic boundary states protected by …

Thermal transport is a fundamental mechanism of energy transfer process quite distinct from
wave propagation phenomena. It can be manipulated well beyond the possibilities offered …

Motivated by the recent experimental realizations of hyperbolic lattices in circuit quantum
electrodynamics and the research interest in the non-Euclidean generalization of topological …