The in-plane spin helicity of coplanar helical spin configurations of frustrated single trimer V3 and Cu3 nanomagnets, inversion (switching) of spin helicity

Abstract

The in-plane spin helicities of coplanar non-collinear spin configurations of frustrated spin states of the single trimer V3 and Cu3 molecular nanomagnets with the Dzialoshinsky-Moriya (DM) coupling in transverse magnetic fields are considered. Spin operators of the in-plane helicity were proposed. These operators provide the quantum numbers of the in-plane spin helicity, which characterize helicities of all classical coplanar 120° helical spin configurations and distinguish helical configurations of the same vector chirality. The in-plane spin helicity depends on direction and strength of transverse magnetic field. The increase of the field strength leads to the non-linear reduction of magnitude of the spin helicity of spin configurations correlated with their energy, magnetizations and vector chirality. The in-plane spin helicity is inverse proportional to the energy; the decrease of helicity correlates with an increase of magnetization. Spin helicity of distorted DM trimers was considered, distortions result in reduction of magnitude of the spin helicity of deformed coplanar helical spin configurations. The in-plane spin helicity of coplanar helical spin configurations in the ground state demonstrates the field- and deformation- induced inversion (switching) that can be used in applications of the spin helicity in molecular devices.