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Using acoustic methods the complex high-frequency conductance ofhigh-mobility $n$-GaAs/AlGaAs heterostructures was determined in magneticfields 12$\div$18~T. Based on the observed frequency and temperaturedependences we conclude that in the investigated magnetic field range and atsufficiently low temperatures, $T \lesssim 200$~mK, the electron system forms aWigner crystal deformed due to pinning by disorder. At some temperature, whichdepends on the electron filling factor, the temperature dependences of bothcomponents of the complex conductance get substantially changed. We haveascribed this rapid change of the conduction mechanism to melting of the Wignercrystal and study the dependence of the so-defined melting temperature on theelectron filling factor.

Melting of Wigner crystal in high-mobility $n$-GaAs/AlGaAs heterostructures at filling factors $0.18 > \nu > 0.125$: Acoustic studies