Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-12-08
Phys. Rev. B 75, 214403 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 5 figures
Scientific paper
10.1103/PhysRevB.75.214403
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.
Kampf Arno P.
Kollar Marcus
Sentef Michael
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