[PDF][PDF] Investigating finite-size effects in random matrices by counting resonances

A Kutlin, C Vanoni - arxiv preprint arxiv:2402.10271, 2024 - scipost.org
Resonance counting is an intuitive and widely used tool in Random Matrix Theory and
Anderson Localization. Its undoubted advantage is its simplicity: in principle, it is easily …

Scaling theory of fading ergodicity

R Świętek, M Hopjan, C Vanoni, A Scardicchio… - arxiv preprint arxiv …, 2024 - arxiv.org
In most noninteracting quantum systems, the scaling theory of localization predicts one-
parameter scaling flow in both ergodic and localized regimes. On the other hand, it is …

Critical Dynamics of the Anderson Transition on Small-World Graphs

W Chen, I García-Mata, J Martin, J Gong… - arxiv preprint arxiv …, 2025 - arxiv.org
The Anderson transition on random graphs draws interest through its resemblance to the
many-body localization (MBL) transition with similarly debated properties. In this Letter, we …