000201463 001__ 201463 000201463 005__ 20230426083123.0 000201463 0247_ $$2doi$$a10.1103/PhysRevB.88.115435 000201463 0247_ $$2ISSN$$a0163-1829 000201463 0247_ $$2ISSN$$a0556-2805 000201463 0247_ $$2ISSN$$a1095-3795 000201463 0247_ $$2ISSN$$a1098-0121 000201463 0247_ $$2ISSN$$a1550-235X 000201463 0247_ $$2Handle$$a2128/8756 000201463 0247_ $$2WOS$$aWOS:000324952000002 000201463 037__ $$aFZJ-2015-03758 000201463 041__ $$aEnglish 000201463 082__ $$a530 000201463 1001_ $$0P:(DE-Juel1)141753$$aHell, Michael$$b0$$ufzj 000201463 245__ $$aTransport of spin anisotropy without spin currents 000201463 260__ $$aCollege Park, Md.$$bAPS$$c2013 000201463 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1433919140_12151 000201463 3367_ $$2DataCite$$aOutput Types/Journal article 000201463 3367_ $$00$$2EndNote$$aJournal Article 000201463 3367_ $$2BibTeX$$aARTICLE 000201463 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000201463 3367_ $$2DRIVER$$aarticle 000201463 520__ $$aWe revisit the transport of spin-degrees of freedom across an electrically and thermally biased tunnel junction between two ferromagnets with noncollinear magnetizations. Besides the well-known charge current and spin current we show that a nonzero spin-quadrupole current flows between the ferromagnets. This tensor-valued current describes the nonequilibrium transport of spin anisotropy relating to both local and nonlocal multiparticle spin correlations of the circuit. This quadratic spin anisotropy, quantified in terms of the spin-quadrupole moment, is fundamentally a two-electron quantity. In spin valves with an embedded quantum dot such currents have been shown to result in a quadrupole accumulation that affects the measurable quantum dot spin and charge dynamics. The spin-valve model studied here allows fundamental questions about spin-quadrupole storage and transport to be worked out in detail, while ignoring the detection by a quantum dot. The physical understanding of this particular device is of importance for more complex devices where spin-quadrupole transport can be detected. We demonstrate that, as far as storage and transport are concerned, the spin anisotropy is only partly determined by the spin polarization. In fact, for a thermally biased spin valve the charge current and spin current may vanish, while a pure exchange spin-quadrupole current remains, which appears as a fundamental consequence of Pauli's principle. We extend the real-time diagrammatic approach to efficiently calculate the average of multiparticle spin observables, in particular the spin-quadrupole current. Although the paper addresses only leading-order and spin-conserving tunneling, we formulate the technique for arbitrary order in an arbitrary, spin-dependent tunnel coupling in a way that lends itself to extension to quantum-dot spin-valve structures. 000201463 536__ $$0G:(DE-HGF)POF2-422$$a422 - Spin-based and quantum information (POF2-422)$$cPOF2-422$$fPOF II$$x0 000201463 542__ $$2Crossref$$i2013-09-27$$uhttp://link.aps.org/licenses/aps-default-license 000201463 588__ $$aDataset connected to CrossRef, juser.fz-juelich.de 000201463 7001_ $$0P:(DE-Juel1)130608$$aDas, Sourin$$b1$$ufzj 000201463 7001_ $$0P:(DE-Juel1)131026$$aWegewijs, Maarten Rolf$$b2$$eCorresponding Author$$ufzj 000201463 77318 $$2Crossref$$3journal-article$$a10.1103/physrevb.88.115435$$bAmerican Physical Society (APS)$$d2013-09-27$$n11$$p115435$$tPhysical Review B$$v88$$x1098-0121$$y2013 000201463 773__ $$0PERI:(DE-600)2844160-6$$a10.1103/PhysRevB.88.115435$$gVol. 88, no. 11, p. 115435$$n11$$p115435$$tPhysical review / B$$v88$$x1098-0121$$y2013 000201463 8564_ $$uhttps://juser.fz-juelich.de/record/201463/files/PhysRevB.88.115435.pdf$$yOpenAccess 000201463 8564_ $$uhttps://juser.fz-juelich.de/record/201463/files/PhysRevB.88.115435.gif?subformat=icon$$xicon$$yOpenAccess 000201463 8564_ $$uhttps://juser.fz-juelich.de/record/201463/files/PhysRevB.88.115435.jpg?subformat=icon-1440$$xicon-1440$$yOpenAccess 000201463 8564_ $$uhttps://juser.fz-juelich.de/record/201463/files/PhysRevB.88.115435.jpg?subformat=icon-180$$xicon-180$$yOpenAccess 000201463 8564_ $$uhttps://juser.fz-juelich.de/record/201463/files/PhysRevB.88.115435.jpg?subformat=icon-640$$xicon-640$$yOpenAccess 000201463 8564_ $$uhttps://juser.fz-juelich.de/record/201463/files/PhysRevB.88.115435.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000201463 909CO $$ooai:juser.fz-juelich.de:201463$$pdnbdelivery$$pVDB$$pdriver$$popen_access$$popenaire 000201463 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)141753$$aForschungszentrum Jülich GmbH$$b0$$kFZJ 000201463 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130608$$aForschungszentrum Jülich GmbH$$b1$$kFZJ 000201463 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)131026$$aForschungszentrum Jülich GmbH$$b2$$kFZJ 000201463 9132_ $$0G:(DE-HGF)POF3-141$$1G:(DE-HGF)POF3-140$$2G:(DE-HGF)POF3-100$$aDE-HGF$$bForschungsbereich Energie$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vControlling Electron Charge-Based Phenomena$$x0 000201463 9131_ $$0G:(DE-HGF)POF2-422$$1G:(DE-HGF)POF2-420$$2G:(DE-HGF)POF2-400$$3G:(DE-HGF)POF2$$4G:(DE-HGF)POF$$aDE-HGF$$bSchlüsseltechnologien$$lGrundlagen zukünftiger Informationstechnologien$$vSpin-based and quantum information$$x0 000201463 915__ $$0LIC:(DE-HGF)APS-112012$$2HGFVOC$$aAmerican Physical Society Transfer of Copyright Agreement 000201463 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR 000201463 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index 000201463 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded 000201463 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection 000201463 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bThomson Reuters Master Journal List 000201463 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS 000201463 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline 000201463 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000201463 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences 000201463 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5 000201463 920__ $$lyes 000201463 9201_ $$0I:(DE-Juel1)PGI-2-20110106$$kPGI-2$$lTheoretische Nanoelektronik$$x0 000201463 9201_ $$0I:(DE-82)080009_20140620$$kJARA-FIT$$lJARA-FIT$$x1 000201463 9801_ $$aFullTexts 000201463 980__ $$ajournal 000201463 980__ $$aVDB 000201463 980__ $$aFullTexts 000201463 980__ $$aUNRESTRICTED 000201463 980__ $$aI:(DE-Juel1)PGI-2-20110106 000201463 980__ $$aI:(DE-82)080009_20140620 000201463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0375-9601(75)90174-7 000201463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.39.6995 000201463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.89.266602 000201463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.spmi.2004.11.005 000201463 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/0022-3727/38/7/R01 000201463 999C5 $$1L. 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