Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session Q61: Precision Many Body Physics III: Novel Quantum States
3:00 PM–6:00 PM,
Wednesday, March 8, 2023
Room: Room 418
Sponsoring
Unit:
DCOMP
Chair: Hansveer Singh, University of Massachusetts, Amherst
Abstract: Q61.00002 : Supercell construction and non-Abelian Bloch states in hyperbolic lattices
3:36 PM–3:48 PM
Presenter:
Patrick M Lenggenhager
(ETH Zurich and Paul Scherrer Institute)
Authors:
Patrick M Lenggenhager
(ETH Zurich and Paul Scherrer Institute)
Joseph Maciejko
(Univ of Alberta)
Tomas Bzdusek
(Paul Scherrer Institute)
In our work, we obtain novel insights into non-Abelian Bloch states by studying hyperbolic supercells. These correspond to fundamental domains of a reduced hyperbolic translation group, constructed according to a precise mathematical recipe. Curiously, instead of Brillouin zone folding that is observed in Euclidean supercells, hyperbolic supercells result in Brillouin zones with enlarged dimensions. We investigate the convergence of spectra as the supercell size grows and apply the technique to simple models of hyperbolic topological insulators.
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