Nearest-Neighbor Tight-Binding Realization of Hyperbolic Lattices with ${\mathbb{Z}}_2$ Gauge Structures

Xianghong Kong, Xingsi Liu, Shuihua Yang +4

A systematic framework for realizing ${\mathbb{Z}}_2$ gauge extensions of hyperbolic lattices within the nearest-neighbor tight-binding formalism is developed. Using the triangle gro…