Critical behavior and phase diagrams of a spin-1 Blume-Capel model with random crystal field interactions: An effective field theory analysis

► A Blume-Capel model with dilute and random crystal fields is examined. ► We take EFT approximation one step forward by this new formulation. ► We investigate the global phase diagrams of the system. ► Our method improves the conventional EFT methods based on decoupling approximation.