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What are spin currents in Heisenberg magnets?

2004/05/31 by F. Schütz, Florian Schuetz, Peter Kopietz +1 · 1 citation
Physics and Astronomy · #Magnetic properties of thin films #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2004-00348-9

published as Eur. Phys. J. B 41, 557 (2004) · 4 pages, 1 figure, published version

openalex publication_date 2004/10/01 · arxiv created 2004/11/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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" Jij Si x Sj in the plane spanned by the local order parameters <Si> and <Sj> 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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