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The ground state of the Holstein molecular crystal model in one dimension isstudied using the Global-Local variational method, analyzing in particular thetotal energy, kinetic energy, phonon energy, and interaction energy over abroad region of the polaron parameter space. Through the application ofobjective criteria, a unique curve is identified that simply, accurately, androbustly locates the self-trapping transition separating small polaron andlarge polaron behavior

Self-trapping line of the Holstein molecular crystal model in one dimension