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Quantum spin liquid (QSL) state has been a crucial topic in condensed matter physics in the last three decades, due to its potential application on quantum computation and its relation between exotic phenomenons such as high temperature superconductivity[1–3]. Recently, the QSL state was proposed to be in triangular-lattice structured YbMgGaO₄[4–9], but it was still under debates[10, 11]. We performed new muon spin relaxation experiments on high quality and small amount of single crystals of YbMgGaO_4. Detal study of the ground state of this compound will be reported.

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