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 dens...

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Bibliographic Details
Main Author: Davide Venturelli, Leticia F. Cugliandolo, Grégory Schehr, Marco Tarzia
Format: Article
Language:English
Published: SciPost 2023-05-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.14.5.110