Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields

• URL: http://arxiv.org/abs/2101.05959v3
• Date: Sun, 23 May 2021 11:06:38 GMT
• Title: Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Authors: Masahiro O. Takahashi, Masahiko G. Yamada, Daichi Takikawa, Takeshi Mizushima, and Satoshi Fujimoto
• Abstract summary: It is demonstrated that four-body interactions among Majorana fermions in the Kitaev spin liquid state trigger a nematic phase transition of Majorana bonds without magnetic orders. Our result potentially explains the topological nematic transition recently observed in $alpha$-RuCl$_3$ via heat capacity measurements.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a scenario of realizing the toric code phase, which can be potentially utilized for fault-tolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that four-body interactions among Majorana fermions in the Kitaev spin liquid state, which are induced by applied magnetic fields as well as non-Kitaev-type exchange interactions, trigger a nematic phase transition of Majorana bonds without magnetic orders, accompanying the change of the Chern number from $\pm 1$ to zero. This gapful spin liquid state with zero Chern number is nothing but the toric code phase. Our result potentially explains the topological nematic transition recently observed in $\alpha$-RuCl$_3$ via heat capacity measurements [O. Tanaka et al., arXiv:2007.06757].

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