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A recent focus of quantum spin liquid (QSL) studies is howdisorder/randomness in a QSL candidate affects its true magnetic ground state.The ultimate question is whether the QSL survives disorder or the disorderleads to a "spin-liquid-like" state, such as the proposed random-singlet (RS)state. Since disorder is a standard feature of most QSL candidates, thisquestion represents a major challenge for QSL candidates. YbMgGaO$_4$, atriangular lattice antiferromagnet with effective spin-1/2 Yb$^{3+}$ ions, isan ideal system to address this question, since it shows no long-range magneticordering with Mg/Ga site disorder. Despite the intensive study, it remainsunresolved as to whether YbMgGaO$_4$ is a QSL or in the RS state. Here, throughultralow-temperature thermal conductivity and magnetic torque measurements,plus specific heat and DC magnetization data, we observed a residual$\kappa_0/T$ term and series of quantum spin state transitions in the zerotemperature limit for YbMgGaO$_4$. These observations strongly suggest that aQSL state with itinerant excitations and quantum spin fluctuations survivesdisorder in YbMgGaO$_4$.

Survival of itinerant excitations and quantum spin state transitions in YbMgGaO$_4$ with chemical disorder