Automorphic Bloch theorems for hyperbolic lattices [Physics]

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 space of uniform negative curvature. To describe the single-particle eigenstates and eigenenergies for hopping on such a lattice, a hyperbolic generalization of band theory...

Source: Proceedings of the National Academy of Sciences - February 25, 2022 Category: Science Authors: Joseph Maciejko, Steven Rayan Tags: Physics Physical Sciences Source Type: research