Identification of a Kitaev quantum spin liquid by magnetic field angle dependence

Kyusung Hwang, Ara Go, Ji Heon Seong, Takasada Shibauchi and Eun-Gook Moon ()
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Kyusung Hwang: Korea Institute for Advanced Study (KIAS)
Ara Go: Institute for Basic Science (IBS)
Ji Heon Seong: Korea Advanced Institute of Science and Technology (KAIST)
Takasada Shibauchi: University of Tokyo
Eun-Gook Moon: Korea Advanced Institute of Science and Technology (KAIST)

Nature Communications, 2022, vol. 13, issue 1, 1-9

Abstract: Abstract Quantum spin liquids realize massive entanglement and fractional quasiparticles from localized spins, proposed as an avenue for quantum science and technology. In particular, topological quantum computations are suggested in the non-abelian phase of Kitaev quantum spin liquid with Majorana fermions, and detection of Majorana fermions is one of the most outstanding problems in modern condensed matter physics. Here, we propose a concrete way to identify the non-abelian Kitaev quantum spin liquid by magnetic field angle dependence. Topologically protected critical lines exist on a plane of magnetic field angles, and their shapes are determined by microscopic spin interactions. A chirality operator plays a key role in demonstrating microscopic dependences of the critical lines. We also show that the chirality operator can be used to evaluate topological properties of the non-abelian Kitaev quantum spin liquid without relying on Majorana fermion descriptions. Experimental criteria for the non-abelian spin liquid state are provided for future experiments.

Date: 2022
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DOI: 10.1038/s41467-021-27943-9

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