From the 2 of 6 linked papers with an AI index.
6 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…
Topological characterization of multifold band degeneracies in Altland-Zirnbauer symmetry classes
Askar Iliasov, Zoltán Guba, Tsuneya Yoshida +2
The paper develops a topological classification for generic n‑fold band degeneracies that are protected solely by Altland‑Zirnbauer symmetries, using linked nodal manifolds instead…
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…
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…
Strong enhancement of superconductivity on finitely ramified fractal lattices
Askar A. Iliasov, Robert Canyellas, Mikhail I. Katsnelson +1
Using the Sierpinski gasket (triangle) and carpet (square) lattices as examples, we theoretically study the properties of fractal superconductors. For that, we focus on the phenome…