Can you squeeze a few more acronyms in there?

The ZFC-FC curves are generally measured for static magnetization and can be characterized by an open loop (in case of a ferromagnet) or closed loop (superparamagnet) or linear M-H (paramagnetism) or zero spontaneous magnetization (antiferromagnet) or negative magnetization (diamagnet) etc. In case of a thermo-magnetic irreversibility, i.e. a difference between ZFC and FC curves, a spin glass or superparamagnetic phase is predicted. However, only ZFC and FC curves can not confirm that and in order to confirm the real phase, AC magnetization is measured. Frequency dependence of real and imaginary suceptibility provide information on the real magnetic phase. For more details on AC susceptibility measurements and interpretation, please go through this article.

Frequency dependence of real and imaginary suceptibility in AC means it is FM or Spin glass or supper PM?

If the peak (corresponding to magnetic transition) temperature increases or decreases with increasing frequency, then the change is plotted as a function of frequency and depending on some fitting parameters, either spin glass or superparamagnetic transition is predicted. For purely ferromagnetic transition, no thermomagnetic irreversibility is expected. However, for a weak ferromagnet or a frustrated system with mixed AFM-FM phase, the irreversibility is seen. But in general, these transitions are not frequency dependent.

Another article for the AC susceptibility response of the superparamagnetic particlesis attached here.

Thanks

how we can distinguish between spin glass and super paramagnetic with AC?

Attached please find some basics about AC susceptibility data interpretation. Also in the Phys. Rev. paper I attached before, there are some references that shows fitting to scaling laws gives indications whether the system is a spin glass or a non interacting single particles with superparamagnetism.

http://www.qdusa.com/sitedocs/appNotes/ppms/1078-201.pdf

Thanks for that , I saw it before but still its not clear.

I mean I am trying to make a table for PM,DM,AFM,FM Spin glass and super paramagnetic, for example:

for PM;

in DC, ZFC,FC donot split,I in AC(real) there is no transition, AC(imaginary) no transition,and no frequency dependent

I need the same for rest, I ciuldnot find any paper to publish like this.

but thanks for your response as always

Actually things are not as straight forward as that always and often materials have two or more coexisting phases, for example ferro and antiferromagnetism which leads to spin glass or cluster glass mechanism. You can see features of FM, AFM, SG everything in them. For superparamagnetism, only FM like hysteresis with almost no coercivity and remanance is the only solid proof. But as I mentioned before, other effects can be there due to mixed phases. So unfortunately we can always say there are indication of SG or cluster glass or superparamagnetism and then we have to do proper fittings etc for more concrete evidence.

For example if M(T) shows divergence of ZFC-FC and M(H) shows hysterisis, is my compound ferromagnetism?

Divergence of ZFC and FC suggests some kind of magnetic frustration is there, either due to coexisting ferro and antiferromagnetic phases or due to non-interacting superparamagnetic particles. If ou have a M-H hysteresis with a finite coercive field then most probably your system is a spin or a cluster glass kind of system. But you need to do temperature and frequency dependent AC susceptibility measurement for verifying that. Enclosed please find a paper from our group that could be helpful.