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<p>The pursuit of the quantum spin liquid (QSL) predicted by the Kitaev honeycomb model remains a central yet challenging goal in quantum magnetism. Realistic candidate materials inevitably host non-Kitaev interactions that often lead to antiferromagnetic (AFM) order at low temperature. While magnetic fields can suppress such AFM order and may stabilize a QSL phase, conclusive evidence for a field-induced Kitaev QSL has remained elusive despite a decade of research. Here, we establish an effective <i>K</i>-<i>J</i>-Γ-<InlineEquation ID="IEq1"><EquationSource Format="TEX">\({\Gamma }^{{\prime} }\)</EquationSource><EquationSource Format="MATHML"><math><msup><mrow><mi mathvariant="normal">Γ</mi></mrow><mrow><mo>′</mo></mrow></msup></math></EquationSource></InlineEquation> model with a dominant AFM Kitaev interaction for Na<sub>2</sub>Co<sub>2</sub>TeO<sub>6</sub>, which quantitatively explains its key experimental measurements. Using high-precision tensor-network calculations, we reveal a QSL phase under intermediate [111] magnetic fields, which is possibly gapless, and find it can be adiabatically connected to the intensively studied intermediate-field QSL in the pure AFM Kitaev model. This correspondence confirms that the Kitaev model as the origin of the intermediate-field QSL in cobalt-based magnet Na<sub>2</sub>Co<sub>2</sub>TeO<sub>6</sub>, thus offering a concrete platform for exploring Kitaev-derived QSL in realistic materials.</p>

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Kitaev-derived spin liquid in the frustrated quantum magnet Na2Co2TeO6

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  • 发表日期：

    2026年5月29日

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  • Han Li,
  • Xu-Guang Zhou,
  • Gang Su,
  • Wei Li

摘要

The pursuit of the quantum spin liquid (QSL) predicted by the Kitaev honeycomb model remains a central yet challenging goal in quantum magnetism. Realistic candidate materials inevitably host non-Kitaev interactions that often lead to antiferromagnetic (AFM) order at low temperature. While magnetic fields can suppress such AFM order and may stabilize a QSL phase, conclusive evidence for a field-induced Kitaev QSL has remained elusive despite a decade of research. Here, we establish an effective K-J-Γ-\({\Gamma }^{{\prime} }\)Γ′ model with a dominant AFM Kitaev interaction for Na2Co2TeO6, which quantitatively explains its key experimental measurements. Using high-precision tensor-network calculations, we reveal a QSL phase under intermediate [111] magnetic fields, which is possibly gapless, and find it can be adiabatically connected to the intensively studied intermediate-field QSL in the pure AFM Kitaev model. This correspondence confirms that the Kitaev model as the origin of the intermediate-field QSL in cobalt-based magnet Na2Co2TeO6, thus offering a concrete platform for exploring Kitaev-derived QSL in realistic materials.