We present a theoretical mapping to show that a ferromagnet with gain (loss) is equivalent to an
antiferromagnet with an equal amount of loss (gain). Our findings indicate a novel first-order ferromagnet-antiferromagnet phase transition by tuning the gain-loss parameter. As an appealing application, we
demonstrate the realization as well as the manipulation of the antiferromagnetic Skyrmion, a stable
topological quasiparticle not yet observed experimentally, in a chiral ferromagnetic thin film with gain.
We also consider ferromagnetic bilayers with balanced gain and loss and show that the antiferromagnetic
Skyrmion can be found only in cases with a broken parity-time symmetry phase. We predict a spectral region in the first Brillouin zone, in which the parity-time symmetry is never broken in the framework of linear spin wave theory. Our results pave the way for investigating the emerging antiferromagnetic spintronics and parity-time symmetric magnonics in ferromagnets.
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