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Non-Abelian hyperbolic band theory from supercells
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 …
Abelian Bloch states labeled by a momentum vector, hyperbolic lattices support non-Abelian …
Hyperbolic non-Abelian semimetal
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 …
lattices in a negatively curved plane. Because of their distinct translation group structure …
Hyperbolic spin liquids
Hyperbolic lattices present a unique opportunity to venture beyond the conventional
paradigm of crystalline many-body physics and explore correlated phenomena in negatively …
paradigm of crystalline many-body physics and explore correlated phenomena in negatively …
Encoded quantum gates by geometric rotation on tessellations
We utilize the symmetry groups of regular tessellations on two-dimensional surfaces of
different constant curvatures, including spheres, Euclidean planes and hyperbolic planes, to …
different constant curvatures, including spheres, Euclidean planes and hyperbolic planes, to …
Emerging avenues in band theory: multigap topology and hyperbolic lattices
PM Lenggenhager - 2023 - research-collection.ethz.ch
One of the cornerstones of condensed matter physics, the description of wave functions on
periodic lattices in terms of energy bands of Bloch states, serves as the unifying thread in …
periodic lattices in terms of energy bands of Bloch states, serves as the unifying thread in …