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Topological states and flat bands in exactly solvable decorated Cayley trees
Wanda P. Duss, Askar Iliasov, Tomáš Bzdušek
We derive the full spectrum of decorated Cayley trees that constitute tree analogs of selected two-dimensional Euclidean lattices; namely of the Lieb, the double Lieb, the kagome,…
Topological non-Abelian gauge structures in Cayley-Schreier lattices
Zoltán Guba, Robert-Jan Slager, Lavi K. Upreti +1
Crystalline constructions known as Cayley-Schreier lattices have been suggested as a platform for realizing arbitrary gauge fields in synthetic crystals with real hopping amplitude…
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…