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 Q upon the application of a non-antisymmetric magnetic field sequence composed of a fundamental harmonic component H0, a constant bias field Hb, and a second-harmonic component H2. The broken time antisymmetry introduced by the second-harmonic field component H2 leads to an effective bias effect that is superimposed onto the influence of the static bias Hb. Despite this interference, we can demonstrate the existence of a generalized conjugate field H* for the dynamic order parameter Q, 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 H2, 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 H2, illustrating that the overall dynamic behavior of such magnetic systems is being driven by the total effective amplitude of the field sequence.

Automated summary

In this study, we experimentally and theoretically investigate the dynamic magnetic phase diagram and its associated order parameter Q under the action of a non-antisymmetric magnetic field sequence. The introduction of time antisymmetry through the second-harmonic field component H2 affects the static bias field, and both the static bias field and the second-harmonic Fourier amplitude of the field sequence contribute to the dynamic order parameter Q. The critical point of the phase transition is shifted upon introducing a second-harmonic field component H2, demonstrating that the overall dynamic behavior of magnetic systems is driven by the total effective amplitude of the field sequence.