2025/03/15 by Achitouv, Ixandra, Lahoche, Vincent, Samary, Dine Ousmane +1
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences
paper · doi:10.48550/arxiv.2503.12247
In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large N limit. The disordered Hamiltonian is of ``2 + p" type, and we perform a coarse-graining procedure over the Wigner spectrum for the matrix-like disorder. The phase space reconstruction relies on phase transitions derived from the Luttinger-Ward functional, which accounts for interactions that are forbidden by perturbation theory. Various phases are identified, characterized by large correlations between replicas and/or the breaking of time translation symmetry.