History-dependent phenomena in the transverse Ising ferroglass: The free-energy landscape

In this paper we investigate the relationship between glassy and ferromagnetic phases in disordered Ising ferromagnets in the presence of transverse magnetic fields, {Gamma}. Iterative mean-field simulations probe the free-energy landscape and suggest the existence of a glass transition as a function of {Gamma} which is distinct from the Curie temperature. Experimental field-cooled and zero-field-cooled data on LiHo{sub x}Y{sub 1-x}F{sub 4} provide support for our theoretical picture. Here as well we present a collection of theoretical predictions for future experiments.