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 …

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

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 study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …

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 …

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 …

A hyperbolic lattice allows for any p-fold rotational symmetry, in stark contrast to a two-
dimensional crystalline material, where only 2-fold, 3-fold, 4-fold, or 6-fold rotational …

We extend the notion of topologically protected semi-metallic band crossings to hyperbolic
lattices in a negatively curved plane. Because of their distinct translation group structure …