What are spin currents in Heisenberg magnets?

F. Schütz (), P. Kopietz and M. Kollar

The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 41, issue 4, 557-560

Abstract: 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” $J_{ij}{\vec S}_i\times{\vec S}_j$ in the plane spanned by the local order parameters $\langle{\vec S}_i\rangle$ and $\langle{\vec S}_j\rangle$ 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. Copyright Springer-Verlag Berlin/Heidelberg 2004

Date: 2004
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DOI: 10.1140/epjb/e2004-00348-9

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