Spectral properties of Levy Rosenzweig-Porter model via supersymmetric approach

Elizaveta Safonova, Mikhail Feigelman, Vladimir Kravtsov

By using the Efetov's super-symmetric formalism we computed analytically the mean spectral density $\rho (E)$ for the Lévy and the Lévy -Rosenzweig-Porter random matrices which off-dia…