Non-ergodic extended states in $\beta$-ensemble
Non-ergodic extended states in $\beta$-ensemble
Matrix models showing chaotic-integrable transition in the spectral statistics are important for understanding Many Body Localization (MBL) in physical systems. One such example is the $\beta$-ensemble, known for its structural simplicity. However, eigenvector properties of $\beta$-ensemble remain largely unexplored, despite energy level correlations being thoroughly studied. In this work we …