2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168467Spin interaction Hamiltonians are obtained from the unitary Yang--Baxter $\breve{R}$-matrix. Based on which, we study Berry phase and quantum criticality in the Yang--Baxter systems.7 pages, no figures. Accepted for publication in Annals of PhysicsQuantum Physicstext