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Magneto-acoustic investigations of the frustrated triangular-latticeantiferromagnet Cs2CuCl4 were performed for the longitudinal modes c11 and c33in magnetic fields along the a-axis. The temperature dependence of the soundvelocity at zero field shows a mild softening at low temperature and displays asmall kink-like anomaly at TN. Isothermal measurements at T < TN of the soundattenuation reveal two closely-spaced features of different character onapproaching the materials quantum-critical point (QCP) around Bs = 8.5 T for B// a. The peak at slightly lower fields remains sharp down to the lowesttemperature and can be attributed to the ordering temperature TN(B). The secondanomaly which is rounded and which becomes reduced in size upon cooling isassigned to the materials spin-liquid properties preceding the long-rangeantiferromagnetic ordering. These two features merge upon cooling suggesting acoincidence at the QCP. The elastic constant at lowest temperatures of ourexperiment at 32 mK can be well described by a Landau free energy model with avery small magnetoelastic coupling constant G/kB = 2.8 K. The applicability ofthis classical model indicates the existence of a small gap in the magneticexcitation spectrum which drives the system away from quantum criticality.

Magneto-acoustic study near the quantum critical point of the frustrated quantum antiferromagnet Cs2CuCl4