We show that the low-temperature phase transition in ErFeO3 that occurs at a critical temperature of ∼ 4 K can be described as a magnonic version of the superradiant phase transition (SRPT). The role of photons in the quantum-optical SRPT is played by Fe 3+ magnons, while that of two-level atoms is played by Er 3+ spins. Our spin model, which is reduced to an extended Dicke model, takes into account the short-range, direct exchange interactions between Er 3+ spins in addition to the longrange Er 3+ -Er 3+ interactions mediated by Fe 3+ magnons. By using realistic parameters determined by recent terahertz magnetospectroscopy and magnetization experiments, we demonstrate that it is the cooperative, ultrastrong coupling between Er 3+ spins and Fe 3+ magnons that causes the phase transition. This work thus proves ErFeO3 to be a unique system that exhibits a SRPT in thermal equilibrium, in contrast to previous observations of laser-driven non-equilibrium SRPTs.
III. LOW-TEMPERATURE PHASE TRANSITION IN ErFeO3