9–13 Sept 2024
ETH Zürich
Europe/Zurich timezone

【104】Strong enhancement of superconductivity in fractal lattices

10 Sept 2024, 14:45
15m
ETZ E 7

ETZ E 7

Talk Condensed Matter Physics (KOND) Condensed Matter Physics (KOND)

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)

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