Toroidal moment in the molecular magnet V15

Quantum-mechanical calculations predict the existence of toroidal spin structure in the molecular magnet V-15. It is shown that nonzero toroidal moment arises from symmetry violation of the exchange interactions between spins of the base triangle of the V-15 molecule due to the Jahn-Teller effect. It is established that the value of the toroidal moment is connected with value of total spin projection of V-15 on z axis. It enables to induce the toroidal moment by external magnetic field and (or) to induce the magnetic moment by variable electric field or by current.