What are spin currents in Heisenberg magnets?

Details What are spin currents in Heisenberg magnets? What are spin currents in Heisenberg magnets?

2004-05-14

arxiv.org/abs/cond-mat/0405312v2

Eur. Phys. J. B 41, 557 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure, published version

Scientific paper

10.1140/epjb/e2004-00348-9

We discuss the proper definition of the spin current operator in Heisenberg magnets subject to inhomogeneous magnetic fields. We argue that only the component of the naive "current operator" J_ij S_i x S_j in the plane spanned by the local order parameters and is related to real transport of magnetization. Within a mean field approximation or in the classical ground state the spin current therefore vanishes. Thus, finite spin currents are a direct manifestation of quantum correlations in the system.

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