Topological nematic phase transition in Kitaev magnets under applied magnetic fields

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 ap...

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Bibliographic Details
Main Authors: Masahiro O. Takahashi, Masahiko G. Yamada, Daichi Takikawa, Takeshi Mizushima, Satoshi Fujimoto
Format: Article
Language:English
Published: American Physical Society 2021-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.023189
Description
Summary: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 ±1 to zero. This gapful spin liquid state with zero Chern number is simply the toric code phase. Our result potentially explains the topological nematic transition recently observed in α-RuCl_{3} via heat capacity measurements (O. Tanaka et al., arXiv:2007.06757).
ISSN:2643-1564