Random-fieldp-spin-glass model on regular random graphs

Yoshiki Matsuda, Hidetoshi Nishimori, Lenka Zdeborová, Florent Krzakala
2011 Journal of Physics A: Mathematical and Theoretical  
We investigate in detail the phase diagrams of the p-body +/-J Ising model with and without random fields on random graphs with fixed connectivity. One of our most interesting findings is that a thermodynamic spin glass phase is present in the three-body purely ferromagnetic model in random fields, unlike for the canonical two-body interaction random-field Ising model. We also discuss the location of the phase boundary between the paramagnetic and spin glass phases that does not depend on the
more » ... not depend on the change of the ferromagnetic bias. This behavior is explained by a gauge transformation, which shows that gauge-invariant properties generically do not depend on the strength of the ferromagnetic bias for the +/-J Ising model on regular random graphs.
doi:10.1088/1751-8113/44/18/185002 fatcat:uzasxch4wjeolk5cfhiv6kh3qm