The identification of quantum spin-liquid phases in Kitaev candidate materials remains a major experimental challenge. Since most Kitaev candidates develop antiferromagnetic (AFM) order at low temperatures, currently there is great interest on the field-induced magnetic disordered phase in these compounds that are distinct from (partially) polarized states. Recently, a cobaltate ${\mathrm{Na}}_2{\mathrm{Co}}_2{\mathrm{TeO}}_6$ has emerged as a promising Kitaev candidate with high-spin $t_{2g}^5{e}_g^2$ configuration and spin-orbit-entangled $J_{\mathrm{eff}}=1/2$ honeycomb lattice system. There are intensive studies on field-induced magnetic states and phase transitions under in-plane magnetic fields. In this study, we propose an intermediate disordered phase induced by an out-of-plane field along the $c$-axis, through high-field magnetization and magnetocaloric effect measurements. To explain the high-field behavior of ${\mathrm{Na}}_2{\mathrm{Co}}_2{\mathrm{TeO}}_6$, we develop an effective $K\text{−}J\text{−}\mathrm{\Gamma }\text{−}{\mathrm{\Gamma }}^{\prime }$ spin model featuring a dominant AFM Kitaev interaction. This framework uncovers an intermediate quantum spin-liquid phase, establishing the material as a unique platform for exploring Kitaev physics and field-induced quantum-disordered states.

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• High magnetic fields
• Quantum spin liquid
• Density matrix renormalization group
• Kitaev model
• Magnetization measurements