000885778 001__ 885778 000885778 005__ 20230426083223.0 000885778 0247_ $$2doi$$a10.1103/PhysRevB.102.144422 000885778 0247_ $$2ISSN$$a0163-1829 000885778 0247_ $$2ISSN$$a0556-2805 000885778 0247_ $$2ISSN$$a1050-2947 000885778 0247_ $$2ISSN$$a1094-1622 000885778 0247_ $$2ISSN$$a1095-3795 000885778 0247_ $$2ISSN$$a1098-0121 000885778 0247_ $$2ISSN$$a1538-4446 000885778 0247_ $$2ISSN$$a1538-4489 000885778 0247_ $$2ISSN$$a1550-235X 000885778 0247_ $$2ISSN$$a2469-9950 000885778 0247_ $$2ISSN$$a2469-9969 000885778 0247_ $$2ISSN$$a2469-9977 000885778 0247_ $$2Handle$$a2128/25925 000885778 0247_ $$2altmetric$$aaltmetric:92448552 000885778 0247_ $$2WOS$$aWOS:000577208700004 000885778 037__ $$aFZJ-2020-04081 000885778 082__ $$a530 000885778 1001_ $$0P:(DE-Juel1)176480$$aKuchkin, Vladyslav$$b0$$eCorresponding author$$ufzj 000885778 245__ $$aMagnetic skyrmions, chiral kinks, and holomorphic functions 000885778 260__ $$aWoodbury, NY$$bInst.$$c2020 000885778 3367_ $$2DRIVER$$aarticle 000885778 3367_ $$2DataCite$$aOutput Types/Journal article 000885778 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1603109753_24401 000885778 3367_ $$2BibTeX$$aARTICLE 000885778 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000885778 3367_ $$00$$2EndNote$$aJournal Article 000885778 520__ $$aWe present a novel approach to understanding the extraordinary diversity of magnetic skyrmion solutions. Our approach combines an original classification scheme with efficient analytical and numerical methods. We introduce the concept of chiral kinks to account for regions of disfavored chirality in spin textures, and classify two-dimensional magnetic skyrmions in terms of closed domain walls carrying such chiral kinks. In particular, we show that the topological charge of magnetic skyrmions can be expressed in terms of the constituent closed domain walls and chiral kinks. Guided by our classification scheme, we propose a method for creating hitherto unknown magnetic skyrmions which involves initial spin configurations formulated in terms of holomorphic functions and subsequent numerical energy minimization. We numerically study the stability of the resulting magnetic skyrmions for a range of external fields and anisotropy parameters, and provide quantitative estimates of the stability range for the whole variety of skyrmions with kinks. We show that the parameters limiting this range can be well described in terms of the relative energies of particular skyrmion solutions and isolated stripes with and without chiral kinks. 000885778 536__ $$0G:(DE-HGF)POF3-142$$a142 - Controlling Spin-Based Phenomena (POF3-142)$$cPOF3-142$$fPOF III$$x0 000885778 536__ $$0G:(DE-HGF)POF3-143$$a143 - Controlling Configuration-Based Phenomena (POF3-143)$$cPOF3-143$$fPOF III$$x1 000885778 542__ $$2Crossref$$i2020-10-15$$uhttps://link.aps.org/licenses/aps-default-license 000885778 588__ $$aDataset connected to CrossRef 000885778 7001_ $$0P:(DE-HGF)0$$aBarton-Singer, Bruno$$b1 000885778 7001_ $$00000-0002-3577-7966$$aRybakov, Filipp N.$$b2 000885778 7001_ $$0P:(DE-Juel1)130548$$aBlügel, Stefan$$b3 000885778 7001_ $$00000-0003-4818-7233$$aSchroers, Bernd J.$$b4 000885778 7001_ $$0P:(DE-Juel1)145390$$aKiselev, Nikolai S.$$b5 000885778 77318 $$2Crossref$$3journal-article$$a10.1103/physrevb.102.144422$$bAmerican Physical Society (APS)$$d2020-10-15$$n14$$p144422$$tPhysical Review B$$v102$$x2469-9950$$y2020 000885778 773__ $$0PERI:(DE-600)2844160-6$$a10.1103/PhysRevB.102.144422$$gVol. 102, no. 14, p. 144422$$n14$$p144422$$tPhysical review / B$$v102$$x2469-9950$$y2020 000885778 8564_ $$uhttps://juser.fz-juelich.de/record/885778/files/PhysRevB.102.144422.pdf$$yOpenAccess 000885778 8564_ $$uhttps://juser.fz-juelich.de/record/885778/files/PhysRevB.102.144422.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000885778 909CO $$ooai:juser.fz-juelich.de:885778$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire 000885778 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)176480$$aForschungszentrum Jülich$$b0$$kFZJ 000885778 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130548$$aForschungszentrum Jülich$$b3$$kFZJ 000885778 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)145390$$aForschungszentrum Jülich$$b5$$kFZJ 000885778 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 000885778 9131_ $$0G:(DE-HGF)POF3-143$$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)$$vControlling Configuration-Based Phenomena$$x1 000885778 9141_ $$y2020 000885778 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0160$$2StatID$$aDBCoverage$$bEssential Science Indicators$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)1230$$2StatID$$aDBCoverage$$bCurrent Contents - Electronics and Telecommunications Collection$$d2020-01-24 000885778 915__ $$0LIC:(DE-HGF)CCBY4$$2HGFVOC$$aCreative Commons Attribution CC BY 4.0 000885778 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bPHYS REV B : 2018$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000885778 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline$$d2020-01-24 000885778 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List$$d2020-01-24 000885778 9201_ $$0I:(DE-Juel1)IAS-1-20090406$$kIAS-1$$lQuanten-Theorie der Materialien$$x0 000885778 9201_ $$0I:(DE-Juel1)PGI-1-20110106$$kPGI-1$$lQuanten-Theorie der Materialien$$x1 000885778 9201_ $$0I:(DE-82)080009_20140620$$kJARA-FIT$$lJARA-FIT$$x2 000885778 9201_ $$0I:(DE-82)080012_20140620$$kJARA-HPC$$lJARA - HPC$$x3 000885778 980__ $$ajournal 000885778 980__ $$aVDB 000885778 980__ $$aUNRESTRICTED 000885778 980__ $$aI:(DE-Juel1)IAS-1-20090406 000885778 980__ $$aI:(DE-Juel1)PGI-1-20110106 000885778 980__ $$aI:(DE-82)080009_20140620 000885778 980__ $$aI:(DE-82)080012_20140620 000885778 9801_ $$aFullTexts 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0022-3697(58)90076-3 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRev.120.91 000885778 999C5 $$1A. N. Bogdanov$$2Crossref$$oA. N. Bogdanov 1989$$y1989 000885778 999C5 $$1A. N. Bogdanov$$2Crossref$$oA. N. Bogdanov 1989$$y1989 000885778 999C5 $$1N. Manton$$2Crossref$$9-- missing cx lookup --$$a10.1017/CBO9780511617034$$y2004 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1098/rspa.1997.0013 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1098/rspa.2016.0666 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1098/rspa.1961.0018 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nature05056 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/S0304-8853(98)01038-5 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.99.064437 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/s41567-019-0476-x 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1367-2630/18/9/095004 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.5004394 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.101.064408 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1007/s00220-019-03676-1 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.21468/SciPostPhys.7.3.030 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.99.184412 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.115.117201 000885778 999C5 $$1R. Bott$$2Crossref$$9-- missing cx lookup --$$a10.1007/978-1-4757-3951-0$$y1982 000885778 999C5 $$1A. P. Malozemoff$$2Crossref$$oA. P. Malozemoff Magnetic Domain Walls in Bubble Materials 1979$$tMagnetic Domain Walls in Bubble Materials$$y1979 000885778 999C5 $$1W. Klingenberg$$2Crossref$$9-- missing cx lookup --$$a10.1007/978-1-4612-9923-3$$y1978 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1093/imrn/rns284 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1007/s00526-017-1172-2 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0304-8853(94)90046-9 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1098/rspa.2014.0394 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.98.224426 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.100.134424 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.90.014406 000885778 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1367-2630/18/6/065006 000885778 999C5 $$1A. Bogdanov$$2Crossref$$oA. Bogdanov 1995$$y1995 000885778 999C5 $$1A. Bogdanov$$2Crossref$$oA. Bogdanov 1995$$y1995