Pitts, Jackson, Buessen, Finn Lasse ORCID: 0000-0002-7773-4665, Moessner, Roderich, Trebst, Simon ORCID: 0000-0002-1479-9736 and Shtengel, Kirill (2022). Order by disorder in classical kagome antiferromagnets with chiral interactions. Phys. Rev. Res., 4 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564

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Abstract

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground-state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin interactions has proved to be of particular interest in the discovery of certain chiral quantum spin liquids. Here we consider the classical variant of this chiral kagome model and find that it exhibits, similar to the classical Heisenberg antiferromagnet, a remarkably large and structured ground-state manifold, which combines continuous and discrete degrees of freedom. This allows for a rich set of order-by-disorder phenomena. Degeneracy lifting occurs in a highly selective way, choosing already at the harmonic level specific triaxial states, which however retain an emergent Z2 degree of freedom (absent in the conventional Heisenberg model). We also study the competition of entropic and energetic ground-state selection as the model interpolates between the purely chiral and Heisenberg cases. For this mixed model, we find a proximate ordered-by-disorder finite-temperature regime where fluctuations overcome the energetic ground-state preference of the perturbation. Finally, a semiclassical route to a spin liquid is provided by quantum order by disorder in the purely chiral models, where the aforementioned Z2 degrees of freedom are elevated to the role of an emergent gauge field.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Pitts, JacksonUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Buessen, Finn LasseUNSPECIFIEDorcid.org/0000-0002-7773-4665UNSPECIFIED
Moessner, RoderichUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Trebst, SimonUNSPECIFIEDorcid.org/0000-0002-1479-9736UNSPECIFIED
Shtengel, KirillUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-679955
DOI: 10.1103/PhysRevResearch.4.043019
Journal or Publication Title: Phys. Rev. Res.
Volume: 4
Number: 4
Date: 2022
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2643-1564
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
SPIN-LIQUID; GROUND-STATEMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/67995

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