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

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 band theory establishes a standardized framework for classifying different types
of topological matters. Recent investigations have shown that hyperbolic lattices in non …

Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in
non-Euclidean spaces with constant negative curvature. While so far, there has been …

Inverse Anderson transitions, where the flat-band localization is destroyed by disorder, have
been wildly investigated in quantum and classical systems in the presence of Abelian gauge …

We demonstrate how tabletop settings combining hyperbolic lattices with nonlinear
dynamics universally encode aspects of the bulk-boundary correspondence between gravity …

Topological photonics provides a new degree of freedom to robustly control electromagnetic
fields. To date, most of established topological states in photonics have been employed in …

To explore the non-Euclidean generalization of higher-order topological phenomena, we
construct a higher-order topological insulator model in hyperbolic lattices by breaking the …

Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a
new paradigm of synthetic matter, and their energy levels were characterized by a band …

Wave functions on periodic lattices are commonly described by Bloch band theory. Besides
Abelian Bloch states labeled by a momentum vector, hyperbolic lattices support non-Abelian …