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

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In this paper we investigate the relationship between glassy and ferromagnetic phases in disordered Ising ferromagnets in the presence of transverse magnetic fields, {Γ}. Iterative mean-field simulations probe the free-energy landscape and suggest the existence of a glass transition as a function of {Γ} which is distinct from the Curie temperature. Experimental field-cooled and zero-field-cooled data on LiHoₓY_1-xF₄ provide support for our theoretical picture. Here as well we present a collection of theoretical predictions for future experiments.