Spin transport in Heisenberg antiferromagnets

Abstract

We analyze spin transport in insulating antiferromagnets described by the XXZ Heisenberg model in two and three dimensions. Spin currents can be generated by a magnetic-field gradient or, in systems with spin-orbit coupling, perpendicular to a time-dependent electric field. The Kubo formula for the longitudinal spin conductivity is derived analogously to the Kubo formula for the optical conductivity of electronic systems. The spin conductivity is calculated within interacting spin-wave theory. In the Ising regime, the XXZ magnet is a spin insulator. For the isotropic Heisenberg model, the dimensionality of the system plays a crucial role: In d=3 the regular part of the spin conductivity vanishes linearly in the zero frequency limit, whereas in d=2 it approaches a finite zero frequency value.

9 pages, 5 figures

References in corpus (4)

• Spin current and magneto-electric effect in non-collinear magnets
• Dissipationless Quantum Spin Current at Room Temperature
• On A Proper Definition of Spin Current
• What are spin currents in Heisenberg magnets?

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• Spin diffusion and spin conductivity in the 2d Hubbard model
• Spin and thermal transport and critical phenomena in three-dimensional antiferromagnets
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
• Longitudinal magnon transport properties in the easy-axis XXZ Heisenberg ferromagnet on the face-centered cubic lattice
• Information conduction and convection in noiseless Vicsek flocks