Possible absence of trimeron correlations above the Verwey temperature in Fe3 O4

The origin of the metal to insulator transition in Fe3O4 remains a challenge due to the complexity of the system: It is a mixed valent, strongly correlated system where many interactions such as Jahn-Teller distortion, exchange, and phonons are very close in energetics. A recent interpretation of the Verwey transition as an ordering of a three-site magnetic polaron, the trimeron, has been put forward. Here we investigate the existence of the trimeron correlations in the high-temperature phase of Fe3O4 using high-resolution iron 2p3d resonant inelastic scattering magnetic linear dichroism. Guided by theoretical simulations, we reveal that the polarization dependence of the low-energy spin-orbital excitations is incompatible with tetragonal Jahn-Teller trimeron-type distortion. We conclude that the lowest-energy state of the high-temperature phase of Fe3O4 arises from an intricate interplay between trigonal crystal-field, exchange, and spin-orbit interactions