Anti-bosonic current in thermal spin pumping

We investigate thermal spin pumping in gadolinium iron garnet, focusing on dynamics of antiferromagnetic magnon and its impact on spin and heat transport. Antiferromagnet has right-handed and left-handed magnon modes. Using a two-magnetic-lattice model, we derive temperature-dependent spin-wave spectra and thermal spin pumping constants, revealing distinct transport regimes governed by competing contribution of magnon modes. We show that competition of both modes induces a compensation temperature in thermally generated spin current. This theoretical framework deepens the understanding of spin-caloritronic effects in ferrimagnets, offering new perspectives for spintronic device optimization.