Absence of first order transition in the random crystal field Blume-Capel model on a fully connected graph
In this paper we solve the Blume-Capel model on a complete graph in the presence of random crystal field with a distribution, $P(Δ_i) =pδ(Δ_i-Δ)+(1-p) δ(Δ_i+Δ)$, using large deviation techniques. We find that the first order transition of the pure system is destroyed for $0.046 0.954$) even at zero temperature.
cond-mat.stat-mech↗