6 papers
Extended Hubbard model on fractals: d-Wave superconductivity and competing pairing channels
Robert Canyellas, Mikhail I. Katsnelson, Andrey Bagrov
Fractal structures such as the SierpiÅski gasket have been predicted to enhance the critical temperature of s-wave superconductivity compared to regular crystals while maintaining…
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…
Emergence of non-ergodic multifractal quantum states in geometrical fractals
Fabio Salvati, Mikhail I. Katsnelson, Andrey A. Bagrov
Eigenstate multifractality, a hallmark of non-interacting disordered metals, which may also be observed in many-body localized states, is characterized by anomalous slow dynamics a…
Learning complexity of many-body quantum sign structures through the lens of Boolean Fourier analysis
Ilya Schurov, Anna Kravchenko, Mikhail I. Katsnelson +2
We study sign structures of the ground states of spin- magnetic systems using the methods of Boolean Fourier analysis. Previously it was shown that the sign structures of frus…
Fröhlich versus Bose-Einstein Condensation in Pumped Bosonic Systems
Wenhao Xu, Andrey A. Bagrov, Farhan T. Chowdhury +4
Magnon-condensation, which emerges in pumped bosonic systems at room temperature, continues to garner great interest for its long-lived coherence. While traditionally formulated in…
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…