Quantum geometry and magnon Hall transport in an altermagnet

The authors derive here an analytic expression for the relevant quantum geometric tensor in systems described by two-band bosonic Bogoliubov Hamiltonians. They apply it to compute magnon Hall conductivities in a two-dimensional altermagnet model. Both the magnon thermal Hall and spin Nernst conductivities are shown to depend directly on the altermagnetic parameter, offering a potential experimental signature of altermagnetism in this setting.