40 30 20 10 G ( µ S) 40 20 0 -20 -40 I mix  (nA) Frequency (MHz) 4.5 3.5 2.5 V S (Km/s) 8 7 6 5 4 3 2 1 Device No a) b) c) V$_{SD}$ (ω+Δω) 50 Ω V g (ω+ DC) I (Δω) 50 Ω V g $^{DC}$(V) X 5 V g +36.4V V g -36.4V 1.9 1.3 0.7 30 29 28 27 d) FIG. 1: (color online) a) Tilted angle SEM image with the circuit used for actuation and detection of resonance for an InAs NW resonator. The diameter of the wire is 100 nm and the length of NW is 2.9 µ m. The scale bar indicates a length of 200 nm. b) The mixing current (Δ ω/ 2 π = 17 KHz) as a function of frequency for two values of V DC g (mixing current shown for +ve V DC g , is 5 times of its original value). c) Variation of the conductance as a function of DC gate voltage. d) The plot of sound velocity V$_{s}$ = f 0 l 2 1 . 78 r calculated using the measured frequency ( ω/ 2 π ) of the fundamental mode of the InAs NW resonators and geometrical values. The dashed line indicates the speed of sound obtained for V$_{s}$ = √ E/ρ using bulk values for E and ρ .[32] 12