Speaker
Askar Iliasov
(University of Zurich)
Description
Using the Sierpinski gasket as an example, we theoretically study the properties of fractal superconductors. We focus on the phenomenon of s-wave superconductivity in the Hubbard model with attractive on-site potential and employ the Bogoliubov-de Gennes approach. For the case of the Sierpinski gasket, we demonstrate that fractal geometry of the underlying crystalline lattice can be strongly beneficial for superconductivity, not only leading to a considerable increase of the critical temperature as compared to the regular triangular lattice but also supporting macroscopic phase coherence of the Cooper pairs.
Author
Askar Iliasov
(University of Zurich)
Co-authors
Dr
Andrey bagrov
(Radboud University)
Prof.
Mikhail Katsnelson
(Radboud University)