Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb

dc.bibliographicCitation.journalTitleScientific Reportseng
dc.bibliographicCitation.volume8eng
dc.contributor.authorAgrapidis, Cliò Efthimia
dc.contributor.authorvan den Brink, Jeroen
dc.contributor.authorNishimoto, Satoshi
dc.date.accessioned2018-07-14T02:39:13Z
dc.date.available2019-06-28T07:31:11Z
dc.date.issued2018
dc.description.abstractWe study the ground state of the 1D Kitaev-Heisenberg (KH) model using the density-matrix renormalization group and Lanczos exact diagonalization methods. We obtain a rich ground-state phase diagram as a function of the ratio between Heisenberg (J = cosϕ) and Kitaev (K = sinϕ) interactions. Depending on the ratio, the system exhibits four long-range ordered states: ferromagnetic-z, ferromagnetic-xy, staggered-xy, Néel-z, and two liquid states: Tomonaga-Luttinger liquid and spiral-xy. The two Kitaev points ϕ=π2 and φ=3π2 are singular. The ϕ-dependent phase diagram is similar to that for the 2D honeycomb-lattice KH model. Remarkably, all the ordered states of the honeycomb-lattice KH model can be interpreted in terms of the coupled KH chains. We also discuss the magnetic structure of the K-intercalated RuCl3, a potential Kitaev material, in the framework of the 1D KH model. Furthermore, we demonstrate that the low-lying excitations of the 1D KH Hamiltonian can be explained within the combination of the known six-vertex model and spin-wave theory.eng
dc.description.fondsLeibniz_Fonds
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.urihttps://doi.org/10.34657/4715
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/1419
dc.language.isoengeng
dc.publisherLondon : Nature Publishing Groupeng
dc.relation.doihttps://doi.org/10.1038/s41598-018-19960-4
dc.rights.licenseCC BY 4.0 Unportedeng
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/eng
dc.subject.ddc620eng
dc.subject.otherMagnetic properties and materialseng
dc.subject.otherPhase transitions and critical phenomenaeng
dc.titleOrdered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycombeng
dc.typeArticleeng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorIFWDeng
wgl.subjectIngenieurwissenschafteneng
wgl.typeZeitschriftenartikeleng
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