Analytical solution to Heisenberg spin glass models on sparse random graphs and their de Almeida–Thouless line

LM Del Bono, F Nicoletti, F Ricci-Tersenghi - Physical Review B, 2024 - APS
Results regarding spin glass models are, to this day, mainly confined to models with discrete
(usually Ising) spins. Spin glass models with continuous spins exhibit interesting new …

Soft modes in vector spin glass models on sparse random graphs

S Franz, C Lupo, F Nicoletti, G Parisi, F Ricci-Tersenghi - Physical Review B, 2025 - APS
We study numerically the Hessian of low-lying minima of vector spin glass models defined
on random regular graphs. We consider the two-component (XY) and three-component …

How to compute efficiently the analytical solution to Heisenberg spin glass models on sparse random graphs and their de Almeida-Thouless line

LM Del Bono, F Nicoletti, F Ricci-Tersenghi - arxiv preprint arxiv …, 2024 - arxiv.org
Results regarding spin glass models are, to this day, mainly confined to models with Ising
spins. Spin glass models with continuous spins exhibit interesting new physical behaviors …