Large random arrowhead matrices: Multifractality, semilocalization, and protected transport in disordered quantum spins coupled to a cavity

J. Dubail,1, 2, ∗ T. Botzung,2, 3, 4 J. Schachenmayer,2 G. Pupillo,2, 5, † and D. Hagenmüller2, ‡ Université de Lorraine and CNRS, LPCT (UMR 7019), 54000 Nancy, France Université de Strasbourg and CNRS, ISIS (UMR 7006) and icFRC, 67000 Strasbourg, France Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany Institute for Theoretical Nanoelectronics (PGI-2), Forschungszentrum Jülich, 52428 Jülich, Germany Institut Universitaire de France (IUF), 75000 Paris, France (Dated: May 19, 2021)