Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets

• URL: http://arxiv.org/abs/2102.01103v1
• Date: Mon, 1 Feb 2021 19:02:17 GMT
• Title: Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Authors: Nihal Rao, Ke Liu, Marc Machaczek, Lode Pollet
• Abstract summary: We investigate the low-temperature classical phase diagram of a generalized Heisenberg-Kitaev-$Gamma$ model on a honeycomb lattice. We find a hitherto missed nested zigzag-stripy order and establish the robustness of a recently identified $S_3 times Z_3$ phase. A zigzag order is stabilized by a finite $Gammaprime$ and/or $J_3$ term, whereas the four magnetic orders may compete in particular if $Gammaprime$ is anti-ferromagnetic.
• Score: 1.9553739962265688
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We use a recently developed interpretable and unsupervised machine-learning method, the tensorial kernel support vector machine (TK-SVM), to investigate the low-temperature classical phase diagram of a generalized Heisenberg-Kitaev-$\Gamma$ ($J$-$K$-$\Gamma$) model on a honeycomb lattice. Aside from reproducing phases reported by previous quantum and classical studies, our machine finds a hitherto missed nested zigzag-stripy order and establishes the robustness of a recently identified modulated $S_3 \times Z_3$ phase, which emerges through the competition between the Kitaev and $\Gamma$ spin liquids, against Heisenberg interactions. The results imply that, in the restricted parameter space spanned by the three primary exchange interactions -- $J$, $K$, and $\Gamma$, the representative Kitaev material $\alpha$-${\rm RuCl}_3$ lies close to the interface of several phases, including a simple ferromagnet, and the unconventional $S_3 \times Z_3$ and nested zigzag-stripy magnets. A zigzag order is stabilized by a finite $\Gamma^{\prime}$ and/or $J_3$ term, whereas the four magnetic orders may compete in particular if $\Gamma^{\prime}$ is anti-ferromagnetic.

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