Abstract: We study a system in which the hamiltonian has exactly the form of the Sherrington-Kirkpatrick spin glass system but each spin takes value in the set {0,1}{0,1} instead of the set {−1,1}{−1,1}. We investigate the properties of the ground state of the system, we prove the existence of the limit of the ground energy per particle, and we discuss some rigorous bounds of its value.
Joint work with Alessio Troiani.