000885417 001__ 885417 000885417 005__ 20240625095032.0 000885417 0247_ $$2doi$$a10.1103/PhysRevB.102.035113 000885417 0247_ $$2ISSN$$a0163-1829 000885417 0247_ $$2ISSN$$a0556-2805 000885417 0247_ $$2ISSN$$a1050-2947 000885417 0247_ $$2ISSN$$a1094-1622 000885417 0247_ $$2ISSN$$a1095-3795 000885417 0247_ $$2ISSN$$a1098-0121 000885417 0247_ $$2ISSN$$a1538-4446 000885417 0247_ $$2ISSN$$a1538-4489 000885417 0247_ $$2ISSN$$a1550-235X 000885417 0247_ $$2ISSN$$a2469-9950 000885417 0247_ $$2ISSN$$a2469-9969 000885417 0247_ $$2ISSN$$a2469-9977 000885417 0247_ $$2Handle$$a2128/26678 000885417 0247_ $$2altmetric$$aaltmetric:85570561 000885417 0247_ $$2WOS$$aWOS:000545539900006 000885417 037__ $$aFZJ-2020-03814 000885417 082__ $$a530 000885417 1001_ $$0P:(DE-Juel1)176544$$aZhang, Xue-Jing$$b0$$ufzj 000885417 245__ $$aOrigin of orbital ordering in YTiO 3 and LaTiO 3 000885417 260__ $$aWoodbury, NY$$c2020 000885417 3367_ $$2DRIVER$$aarticle 000885417 3367_ $$2DataCite$$aOutput Types/Journal article 000885417 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1619158742_14006 000885417 3367_ $$2BibTeX$$aARTICLE 000885417 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000885417 3367_ $$00$$2EndNote$$aJournal Article 000885417 520__ $$aThe origin of orbital order in correlated transition-metal compounds is strongly debated. For the paradigmatic $e_g$ systems $KCuF_3$ and $LaMnO_3$, it has been shown that the electronic Kugel'-Khomskii mechanism alone is not sufficient to drive the orbital-ordering transition up to the high temperatures at which it is experimentally observed. In the case of $t_{2g}$ compounds, however, the role played by the superexchange interaction remains unclear. Here we investigate this question for two representative systems, the $3dt^1_{2g}$ Mott insulators $LaTiO_3$ and $YTiO_3$. We show that the Kugel'-Khomskii superexchange transition temperature $T_{KK}$ is unexpectedly large, comparable to the value for the $e^3_g$ fluoride $KCuF_3$. By deriving the general form of the orbital superexchange Hamiltonian for the $t^1_{2g}$ configuration, we show that the $GdFeO_3$-type distortion plays a key part in enhancing $T_{KK}$ to about 300 K. Still, orbital ordering above 300 K can be ascribed only to the presence of a static crystal-field splitting. 000885417 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0 000885417 536__ $$0G:(DE-HGF)POF3-144$$a144 - Controlling Collective States (POF3-144)$$cPOF3-144$$fPOF III$$x1 000885417 536__ $$0G:(DE-Juel1)jiff46_20191101$$aCharge-transfer effects in multi-orbital correlated systems (jiff46_20191101)$$cjiff46_20191101$$fCharge-transfer effects in multi-orbital correlated systems$$x2 000885417 542__ $$2Crossref$$i2020-07-06$$uhttps://link.aps.org/licenses/aps-default-license 000885417 588__ $$aDataset connected to CrossRef 000885417 7001_ $$0P:(DE-Juel1)130763$$aKoch, Erik$$b1$$eCorresponding author$$ufzj 000885417 7001_ $$0P:(DE-Juel1)130881$$aPavarini, Eva$$b2$$ufzj 000885417 77318 $$2Crossref$$3journal-article$$a10.1103/physrevb.102.035113$$bAmerican Physical Society (APS)$$d2020-07-06$$n3$$p035113$$tPhysical Review B$$v102$$x2469-9950$$y2020 000885417 773__ $$0PERI:(DE-600)2844160-6$$a10.1103/PhysRevB.102.035113$$gVol. 102, no. 3, p. 035113$$n3$$p035113$$tPhysical review / B$$v102$$x2469-9950$$y2020 000885417 8564_ $$uhttps://juser.fz-juelich.de/record/885417/files/PhysRevB.102.035113.pdf$$yOpenAccess 000885417 8564_ $$uhttps://juser.fz-juelich.de/record/885417/files/oot2g.pdf$$yOpenAccess 000885417 909CO $$ooai:juser.fz-juelich.de:885417$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire$$qextern4vita 000885417 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)176544$$aForschungszentrum Jülich$$b0$$kFZJ 000885417 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130763$$aForschungszentrum Jülich$$b1$$kFZJ 000885417 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130881$$aForschungszentrum Jülich$$b2$$kFZJ 000885417 9131_ $$0G:(DE-HGF)POF3-511$$1G:(DE-HGF)POF3-510$$2G:(DE-HGF)POF3-500$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bKey Technologies$$lSupercomputing & Big Data$$vComputational Science and Mathematical Methods$$x0 000885417 9131_ $$0G:(DE-HGF)POF3-144$$1G:(DE-HGF)POF3-140$$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 Collective States$$x1 000885417 9132_ $$0G:(DE-HGF)POF4-899$$1G:(DE-HGF)POF4-890$$2G:(DE-HGF)POF4-800$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$aDE-HGF$$bProgrammungebundene Forschung$$lohne Programm$$vohne Topic$$x0 000885417 9141_ $$y2020 000885417 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0160$$2StatID$$aDBCoverage$$bEssential Science Indicators$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)1230$$2StatID$$aDBCoverage$$bCurrent Contents - Electronics and Telecommunications Collection$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search$$d2020-01-24 000885417 915__ $$0LIC:(DE-HGF)APS-112012$$2HGFVOC$$aAmerican Physical Society Transfer of Copyright Agreement 000885417 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bPHYS REV B : 2018$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000885417 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline$$d2020-01-24 000885417 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List$$d2020-01-24 000885417 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0 000885417 9201_ $$0I:(DE-Juel1)IAS-3-20090406$$kIAS-3$$lTheoretische Nanoelektronik$$x1 000885417 9201_ $$0I:(DE-82)080012_20140620$$kJARA-HPC$$lJARA - HPC$$x2 000885417 9801_ $$aFullTexts 000885417 980__ $$ajournal 000885417 980__ $$aVDB 000885417 980__ $$aI:(DE-Juel1)JSC-20090406 000885417 980__ $$aI:(DE-Juel1)IAS-3-20090406 000885417 980__ $$aI:(DE-82)080012_20140620 000885417 980__ $$aUNRESTRICTED 000885417 981__ $$aI:(DE-Juel1)PGI-2-20110106 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.1984590 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.92.176403 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1367-2630/7/1/188 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.101.266405 000885417 999C5 $$1K. 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M. Oleś$$2Crossref$$oA. M. Oleś The Physics of Correlated Insulators, Metals, and Superconductors 2017$$tThe Physics of Correlated Insulators, Metals, and Superconductors$$y2017 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.12693/APhysPolA.118.212 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.91.087206 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.69.035107 000885417 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1143/JPSJ.69.1982