Magnetic structure and magnetoelectric properties of the spin-flop phase in LiFePO4

Using neutron diffraction in pulsed magnetic fields, employing the challenging backscattering geometry, this work establishes the magnetic structure in the spin flop phase of magnetoelectric LiFePO${}_{4}$ above 32 Tesla. Using pulsed field electric polarization measurements, an unexpectedly complex set of magnetoelectric couplings are found above the critical field. Finally, mean field calculations of the phase diagram demonstrate how access to high field ($H$,$T$) phase diagrams can be complementary to other techniques in pinpointing the spin Hamiltonian