Non-Ergodic Delocalization in the Rosenzweig-Porter Model

Per von Soosten, Simone Warzel

We consider the Rosenzweig-Porter model $H=V+\sqrt{T}\Phi$, where $V$ is a $N\times N$ diagonal matrix, $\Phi$ is drawn from the $N\times N$ Gaussian Orthogonal Ensemble, and $N…