Spin-liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice

Holt, Michael, Powell, Ben J. and Merino, Jaime (2014) Spin-liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice. Physical Review B - Condensed Matter and Materials Physics, 89 17: . doi:10.1103/PhysRevB.89.174415

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Author Holt, Michael
Powell, Ben J.
Merino, Jaime
Title Spin-liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1550-235X
1098-0121
1538-4489
Publication date 2014-05-13
Year available 2014
Sub-type Article (original research)
DOI 10.1103/PhysRevB.89.174415
Open Access Status File (Publisher version)
Volume 89
Issue 17
Total pages 12
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2015
Language eng
Formatted abstract
We investigate the effect of ring exchange on the ground-state properties and magnetic excitations of the S=1/2 Heisenberg model on the anisotropic triangular lattice with ring exchange at T=0 using linear spin-wave theory. Classically, we find stable Néel, spiral and collinear magnetically ordered phases. Upon including quantum fluctuations to the model, linear spin-wave theory shows that ring exchange induces a large quantum disordered region in the phase diagram, completely wiping out the classically stable collinear phase. Analysis of the spin-wave spectra for each of these three models demonstrates that the large spin-liquid phase observed in the full model is a direct manifestation of competing classical orders. To understand the origin of these competing phases, we introduce models where either the four spin contributions from ring exchange, or the renormalization of the Heisenberg terms due to ring exchange are neglected. We find that these two terms favor rather different physics.
Keyword Heisenberg model
Ring exchange
Spin-wave theory
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article no. 174415 (2014)

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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