Influence of a further-neighbour interaction on a rotating magnetoelectric effect in a coupled spin–electron model on a doubly decorated square lattice

Abstract Exact calculations are used to study the influence of a further-neighbour spin-spin interaction on a rotating magnetoelectric effect (RME) in a coupled spin-electron model (SEM) on a doubly-decorated square lattice. The special attention is focused on a ground-state analysis and a thermal behaviour at a half-filled case. It was found that the competition between the spin-spin interaction, electron hopping and electric field gives rise to novel spatially (an)isotropic magnetic states, whose frontiers are influenced by a spatial orientation of an applied electric field. It is shown that the thermal stability of spontaneous long-range order can be enhanced by RME, which may result in an enhancement of the critical temperature. The further-neighbour interaction may cause striking thermally-driven reentrant phase transitions.