General existence and determination of conjugate fields in dynamically ordered magnetic systems

We investigate experimentally as well as theoretically the dynamic magnetic phase diagram and its associated order parameter upon the application of a non-antisymmetric magnetic field sequence composed of a fundamental harmonic component , a constant bias field , and a second-harmonic component . The broken time antisymmetry introduced by the second-harmonic field component leads to an effective bias effect that is superimposed onto the influence of the static bias . Despite this interference, we can demonstrate the existence of a generalized conjugate field for the dynamic order parameter , to which both the static bias field and the second-harmonic Fourier amplitude of the field sequence contribute. Hereby, we observed that especially the conventional paramagnetic dynamic phase is very susceptible to the impact of the second-harmonic field component , whereas this additional field component leads to only very minor phase-space modifications in the ferromagnetic and anomalous paramagnetic regions. In contrast to prior studies, we also observe that the critical point of the phase transition is shifted upon introducing a second-harmonic field component , illustrating that the overall dynamic behavior of such magnetic systems is being driven by the total effective amplitude of the field sequence.