Anderson localization transition in disordered hyperbolic lattices

A Chen, J Maciejko, I Boettcher - Physical Review Letters, 2024 - APS
We study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …

Hyperbolic non-Abelian semimetal

T Tummuru, A Chen, PM Lenggenhager, T Neupert… - Physical Review Letters, 2024 - APS
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 …

Simulating holographic conformal field theories on hyperbolic lattices

S Dey, A Chen, P Basteiro, A Fritzsche, M Greiter… - Physical Review Letters, 2024 - APS
We demonstrate how tabletop settings combining hyperbolic lattices with nonlinear
dynamics universally encode aspects of the bulk-boundary correspondence between gravity …

Hyperbolic spin liquids

PM Lenggenhager, S Dey, T Bzdušek… - arXiv preprint arXiv …, 2024 - arxiv.org
Hyperbolic lattices present a unique opportunity to venture beyond the conventional
paradigm of crystalline many-body physics and explore correlated phenomena in negatively …

Topological linear response of hyperbolic Chern insulators

C Sun, A Chen, T Bzdušek, J Maciejko - arXiv preprint arXiv:2406.08388, 2024 - arxiv.org
We establish a connection between the electromagnetic Hall response and band topological
invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless …