550 citations · 1.8k across the 26 of their papers we have counts for
3 papers · 1 filter
Hyperbolic non-Abelian semimetal
Tarun Tummuru, Anffany Chen, Patrick M. Lenggenhager +3
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 struct…
Non-Abelian hyperbolic band theory from supercells
Patrick M. Lenggenhager, Joseph Maciejko, Tomáš Bzdušek
Wave functions on periodic lattices are commonly described by Bloch band theory. Besides Abelian Bloch states labeled by a momentum vector, hyperbolic lattices support non-Abelian…
Symmetry and topology of hyperbolic Haldane models
Anffany Chen, Yifei Guan, Patrick M. Lenggenhager +3
Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases…