73 citations · 251 across the 19 of their papers we have counts for
3 papers · 1 filter
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,…
Superconductivity in hyperbolic spaces: Cayley trees, hyperbolic continuum, and BCS theory
Mykhailo Pavliuk, Tomáš Bzdušek, Askar Iliasov
We investigate -wave superconductivity in negatively curved geometries, focusing on Cayley trees and the hyperbolic plane. Using a self-consistent Bogoliubov-de Gennes approach…
Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
Vladimir Bashmakov, Askar Iliasov, Tomáš Bzdušek +1
We study -wave superconductivity in hyperbolic spaces using the Bogoliubov-de Gennes theory for discrete hyperbolic lattices and the Ginzburg-Landau theory for the continuous hy…