Longitudinal magnon transport properties in the easy-axis XXZ Heisenberg ferromagnet on the face-centered cubic lattice

Abstract

We present a detailed investigation of longitudinal magneto-thermal transport in the $S=1/2$ ferromagnetic XXZ model with easy-axis exchange anisotropy ($\Delta >1$) on a face-centered cubic lattice consisting of four sublattices. We employ linear spin-wave theory and the Kubo formalism to evaluate the longitudinal spin and thermal conductivities, both of which exhibit activated temperature dependence in the low-temperature regime, and to determine their magnetic-field dependence. Our analysis indicates that a magnon gap is crucial for ensuring the convergence of these conductivities. Furthermore, by examining the ratio of thermal conductivity to spin conductivity, we identify an analog of the Wiedemann-Franz law for magnon transport at low temperatures. Finally, we demonstrate that these results can be generalized to systems with arbitrary spin.

11 pages, 4 figures

References in corpus (8)

• Magnonic topological insulators in antiferromagnets
• Spin transport in Heisenberg antiferromagnets
• Spin Currents and Magnon Dynamics in Insulating Magnets
• Low spin wave damping in the insulating chiral magnet Cu${}_2$OSeO${}_3$
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
• Violation of the magnonic Wiedemann-Franz law in the strong nonlinear regime
• Spin and thermal transport and critical phenomena in three-dimensional antiferromagnets
• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet