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Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
Strongly Correlated Electrons · Submitted 13 Nov 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Within this mapping the ordered Ising phase corresponds to the condensation of $Z_2$ fluxes, or confinement.
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The abstract, sentence by sentence
The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By partially projecting out Majorana states we are able to map the model onto a model of weakly coupled Ising chains in a transverse field. Within this mapping the ordered Ising phase corresponds to the condensation of $Z_2$ fluxes, or confinement. Our results may improve our understanding of the extensively studied spin liquid candidate material $\alpha$-RuCl$_3$, where $K-\Gamma$ interactions are dominant.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. | background 1.00 | 0.03 | 0.04 | asserted 1.00 |
| s1 | We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. | contribution 1.00 | 0.90 | 0.17 | asserted 0.90 |
| s2 | By partially projecting out Majorana states we are able to map the model onto a model of weakly coupled Ising chains in a transverse field. | method 0.99 | 0.93 | 0.08 | asserted 0.99 |
| s3 | Within this mapping the ordered Ising phase corresponds to the condensation of $Z_2$ fluxes, or confinement. | interpretation 0.94 | 0.79 | 0.34 | asserted 1.00 |
| s4 | Our results may improve our understanding of the extensively studied spin liquid candidate material $\alpha$-RuCl$_3$, where $K-\Gamma$ interactions are dominant. | interpretation 0.95 | 0.15 | 0.06 | hedged possibility 1.00 |
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Original abstract
The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By partially projecting out Majorana states we are able to map the model onto a model of weakly coupled Ising chains in a transverse field. Within this mapping the ordered Ising phase corresponds to the condensation of $Z_2$ fluxes, or confinement. Our results may improve our understanding of the extensively studied spin liquid candidate material $\alpha$-RuCl$_3$, where $K-\Gamma$ interactions are dominant.
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