124 citations · 442 across the 12 of their papers we have counts for
8 papers · 1 filter
Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
Santanu Dey, Anffany Chen, Pablo Basteiro +10
We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-d…
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…
Hyperbolic Topological Band Insulators
David M. Urwyler, Patrick M. Lenggenhager, Igor Boettcher +3
Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band s…
Triple nodal points characterized by their nodal-line structure in all magnetic space groups
Patrick M. Lenggenhager, Xiaoxiong Liu, Titus Neupert +1
We analyze triply degenerate nodal points [or triple points (TPs) for short] in energy bands of crystalline solids. Specifically, we focus on spinless band structures, i.e., when s…
Universal higher-order bulk-boundary correspondence of triple nodal points
Patrick M. Lenggenhager, Xiaoxiong Liu, Titus Neupert +1
Triple nodal points are degeneracies of energy bands in momentum space at which three Hamiltonian eigenstates coalesce at a single eigenenergy. For spinless particles, the stabilit…
From triple-point materials to multiband nodal links
Patrick M. Lenggenhager, Xiaoxiong Liu, Stepan S. Tsirkin +2
We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}…