Magnonic thermal conductivity of multiferroic materials with spin cycloids

Multiferroic materials, which exhibit multiple ferroic properties, show intriguing behaviors due to the interplay of different orders. In this work, we investigate magnon excitations and transport in spin cycloid structures using a multiferroic Hamiltonian with antiferromagnetic order. We identify the ground state and examine distinct in-plane and out-of-plane magnon modes with anisotropic dispersion relations. By employing the Boltzmann transport equation, we analyze the magnonic thermal conductivity of multiferroics with spin cycloids and discuss its low-temperature anisotropic behaviors. Our work leads us to envision that spin-textured multiferroics may serve as a fertile ground to look for novel thermal and spin transport with the rich interplay of quasiparticles therein such as magnons, phonons, and ferrons.