From the 1 of 4 linked papers with an AI index.
4 papers
Topological states and flat bands in exactly solvable decorated Cayley trees
Wanda P. Duss, Askar Iliasov, Tomáš Bzdušek
The authors analytically solve the energy spectra of decorated Cayley trees that mimic 2D lattices such as Lieb, kagome, and star lattices, revealing flat or nearly flat bands that…
Hopf Exceptional Points
Tsuneya Yoshida, Emil J. Bergholtz, Tomáš Bzdušek
Exceptional points at which eigenvalues and eigenvectors of non-Hermitian matrices coalesce are ubiquitous in the description of a wide range of platforms from photonic or mechanic…
Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices
Zoltán Guba, Robert-Jan Slager, Lavi K. Upreti +1
Recently, novel crystalline constructions known as Cayley-Schreier lattices have been suggested as a platform for realizing arbitrary gauge fields in synthetic crystals with real h…
Multifractal statistics of non-Hermitian skin effect on the Cayley tree
Shu Hamanaka, Askar A. Iliasov, Titus Neupert +2
Multifractal analysis is a powerful tool for characterizing the localization properties of wave functions. Despite its utility, this tool has been predominantly applied to disorder…