Strong enhancement of superconductivity in finitely ramified fractal lattices

AA Iliasov, MI Katsnelson, AA Bagrov - arXiv preprint arXiv:2310.11497, 2023 - arxiv.org
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 …

Electronic states and quantum transport in bilayer graphene Sierpinski-carpet fractals

X Yang, W Zhou, Q Yao, Y Li, Y Wang, S Yuan - Physical Review B, 2024 - APS
We construct Sierpinski carpets (SCs) based on AA or AB bilayer graphene using atom
vacancies, which we denote SC-AA and SC-AB, to investigate the effects of interlayer …

Wave functions in the critical phase: A planar Sierpiński fractal lattice

Q Yao, X Yang, AA Iliasov, MI Katsnelson, S Yuan - Physical Review B, 2024 - APS
Electronic states play a crucial role in many quantum systems of moiré superlattices,
quasicrystals, and fractals. As recently reported for Sierpiński lattices [Yao, Phys. Rev. B 107 …

Emergence of non-ergodic multifractal quantum states in geometrical fractals

F Salvati, MI Katsnelson, AA Bagrov - arXiv preprint arXiv:2410.18559, 2024 - arxiv.org
Eigenstate multifractality, a hallmark of non-interacting disordered metals which can
potentially be observed in many-body localized states as well, is characterized by …

Localization and Criticality in Non-crystalline Quantum Matter

MN Ivaki - 2023 - trepo.tuni.fi
The concept of non-trivial electronic topology in condensed matter physics is crucial for
understanding the electronic spectrum of solids and for tailoring various thermodynamic and …