Diagonalization of dense and tridiagonal random matrix ensembles
Title: Diagonalization of dense and tridiagonal random matrix ensembles
DNr: NAISS 2024/5-367
Project Type: NAISS Medium Compute
Principal Investigator: Ivan Khaymovich <ivan.khaymovich@su.se>
Affiliation: Stockholms universitet
Duration: 2024-07-01 – 2025-07-01
Classification: 10304


The project is devoted to the realization and calculation of fractal minibands and non-ergodic phases of matter in long-range and tridiagonal inhomogeneous disordered systems,. This calculation will allow to understand which kinds of systems can host the ergodicity-broken phases of matter with multifractal eigenstate statistics and certain properties of eigenspectrum correlations, given either by miniband fractal structure in the local density of states or the structure, dubbed as "a fractal of minibands". My previous work with the slurm queuing system in Max Planck Institute for Physics of Complex Systems, Dresden, Germany and here with the Small partition allows me to estimate the resources needed for this project. I start with the SMALL proposal as it is the fastest option to get and test my codes.