In solid state physics, a bandgap (BG) refers to a range of energies where no electronic
states can exist. This concept was extended to classical waves, spawning the entire fields of …

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 …

Curved spaces play a fundamental role in many areas of modern physics, from cosmological
length scales to subatomic structures related to quantum information and quantum gravity. In …

The Laplace operator encodes the behavior of physical systems at vastly different scales,
describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input …

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

Dimensionality plays a fundamental role in the classification of novel phases and their
responses. In generic lattices of 2D and beyond, however, we found that non-Hermitian …

Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively
hop on a discrete tessellation of two-dimensional (2D) hyperbolic space, a non-Euclidean …

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 …