000864549 001__ 864549 000864549 005__ 20220930130217.0 000864549 0247_ $$2doi$$a10.1088/1367-2630/ab35c9 000864549 0247_ $$2Handle$$a2128/22597 000864549 0247_ $$2altmetric$$aaltmetric:64783881 000864549 0247_ $$2WOS$$aWOS:000480395600002 000864549 037__ $$aFZJ-2019-04286 000864549 082__ $$a530 000864549 1001_ $$0P:(DE-Juel1)168211$$aBrinker, Sascha$$b0$$eCorresponding author$$ufzj 000864549 245__ $$aThe chiral biquadratic pair interaction 000864549 260__ $$a[London]$$bIOP73379$$c2019 000864549 3367_ $$2DRIVER$$aarticle 000864549 3367_ $$2DataCite$$aOutput Types/Journal article 000864549 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1599652776_20793 000864549 3367_ $$2BibTeX$$aARTICLE 000864549 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000864549 3367_ $$00$$2EndNote$$aJournal Article 000864549 520__ $$aMagnetic interactions underpin a plethora of magnetic states of matter, hence playing a central role both in fundamental physics and for future spintronic and quantum computation devices. The Dzyaloshinskii–Moriya interaction, ${{\bf{D}}}_{{ij}}\cdot ({{\bf{S}}}_{i}\times {{\bf{S}}}_{j})$, being chiral and driven by relativistic effects, leads to the stabilization of highly-noncollinear spin textures such as skyrmions, which thanks to their topological nature are promising building blocks for magnetic data storage and processing elements. Here, we reveal and study a new chiral pair interaction, ${{\bf{C}}}_{{ij}}\cdot ({{\bf{S}}}_{i}\times {{\bf{S}}}_{j})({{\bf{S}}}_{i}\cdot {{\bf{S}}}_{j})$, which is the biquadratic equivalent of the DMI. First, we derive this interaction and its guiding principles from a microscopic model, and we connect the atomistic form to the micromagnetic one. Second, we study its properties in the simplest prototypical systems, magnetic 3d transition metal dimers deposited on the Pt(111), Pt(100), Ir(111), and Re(0001) surfaces, resorting to systematic first-principles calculations. Lastly, we discuss its importance and implications not only for magnetic dimers but also for extended systems, namely one-dimensional spin spirals and complex two-dimensional magnetic structures, such as a nanoskyrmion lattice found in an Fe monolayer on Ir(111). 000864549 536__ $$0G:(DE-HGF)POF3-142$$a142 - Controlling Spin-Based Phenomena (POF3-142)$$cPOF3-142$$fPOF III$$x0 000864549 536__ $$0G:(DE-Juel1)jias17_20150501$$aFirst-principles investigation of single magnetic nano-skyrmions (jias17_20150501)$$cjias17_20150501$$fFirst-principles investigation of single magnetic nano-skyrmions$$x1 000864549 536__ $$0G:(DE-Juel1)jara0189_20180501$$aFirst-principles investigation of single magnetic nano-skyrmions (jara0189_20180501)$$cjara0189_20180501$$fFirst-principles investigation of single magnetic nano-skyrmions$$x2 000864549 536__ $$0G:(DE-Juel1)jias1c_20171101$$aFirst-principles investigation of long range effects in magnetic nanostructures (jias1c_20171101)$$cjias1c_20171101$$fFirst-principles investigation of long range effects in magnetic nanostructures$$x3 000864549 588__ $$aDataset connected to CrossRef 000864549 7001_ $$0P:(DE-Juel1)145395$$aDias, Manuel dos Santos$$b1 000864549 7001_ $$0P:(DE-Juel1)130805$$aLounis, Samir$$b2$$eCorresponding author$$ufzj 000864549 773__ $$0PERI:(DE-600)1464444-7$$a10.1088/1367-2630/ab35c9$$gVol. 21, no. 8, p. 083015 -$$n8$$p083015$$tNew journal of physics$$v21$$x1367-2630$$y2019 000864549 8564_ $$uhttps://juser.fz-juelich.de/record/864549/files/8126597_0.pdf 000864549 8564_ $$uhttps://juser.fz-juelich.de/record/864549/files/8126597_0.pdf?subformat=pdfa$$xpdfa 000864549 8564_ $$uhttps://juser.fz-juelich.de/record/864549/files/Brinker_2019_New_J._Phys._21_083015.pdf$$yOpenAccess 000864549 8564_ $$uhttps://juser.fz-juelich.de/record/864549/files/Brinker_2019_New_J._Phys._21_083015.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000864549 8767_ $$88126597$$92019-08-02$$d2019-08-06$$eAPC$$jZahlung erfolgt$$pab35c9$$zFZJ-2019-04040 000864549 909CO $$ooai:juser.fz-juelich.de:864549$$popenCost$$pVDB$$pdriver$$pOpenAPC$$popen_access$$popenaire$$pdnbdelivery 000864549 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)168211$$aForschungszentrum Jülich$$b0$$kFZJ 000864549 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)145395$$aForschungszentrum Jülich$$b1$$kFZJ 000864549 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130805$$aForschungszentrum Jülich$$b2$$kFZJ 000864549 9131_ $$0G:(DE-HGF)POF3-142$$1G:(DE-HGF)POF3-140$$2G:(DE-HGF)POF3-100$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bEnergie$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vControlling Spin-Based Phenomena$$x0 000864549 9141_ $$y2019 000864549 915__ $$0LIC:(DE-HGF)CCBY3$$2HGFVOC$$aCreative Commons Attribution CC BY 3.0 000864549 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS 000864549 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search 000864549 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bNEW J PHYS : 2017 000864549 915__ $$0StatID:(DE-HGF)0501$$2StatID$$aDBCoverage$$bDOAJ Seal 000864549 915__ $$0StatID:(DE-HGF)0500$$2StatID$$aDBCoverage$$bDOAJ 000864549 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index 000864549 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded 000864549 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection 000864549 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5 000864549 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000864549 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC 000864549 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences 000864549 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline 000864549 915__ $$0StatID:(DE-HGF)0420$$2StatID$$aNationallizenz 000864549 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List 000864549 9201_ $$0I:(DE-Juel1)IAS-1-20090406$$kIAS-1$$lQuanten-Theorie der Materialien$$x0 000864549 9201_ $$0I:(DE-Juel1)PGI-1-20110106$$kPGI-1$$lQuanten-Theorie der Materialien$$x1 000864549 9201_ $$0I:(DE-82)080009_20140620$$kJARA-FIT$$lJARA-FIT$$x2 000864549 9201_ $$0I:(DE-82)080012_20140620$$kJARA-HPC$$lJARA - HPC$$x3 000864549 980__ $$ajournal 000864549 980__ $$aVDB 000864549 980__ $$aI:(DE-Juel1)IAS-1-20090406 000864549 980__ $$aI:(DE-Juel1)PGI-1-20110106 000864549 980__ $$aI:(DE-82)080009_20140620 000864549 980__ $$aI:(DE-82)080012_20140620 000864549 980__ $$aAPC 000864549 980__ $$aUNRESTRICTED 000864549 9801_ $$aAPC 000864549 9801_ $$aFullTexts