Replica approach to the generalized Rosenzweig-Porter model
Replica approach to the generalized Rosenzweig-Porter model
The generalized Rosenzweig-Porter model with real (GOE) off-diagonal entries arguably constitutes the simplest random matrix ensemble displaying a phase with fractal eigenstates, which we characterize here by using replica methods. We first derive analytical expressions for the average spectral density in the limit in which the size N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" …