Fig. 1: Force indentation of suspended membranes of CGT.

a An optical image of a 9.5 ± 0.3 nm thin CGT membrane with a radius r = 2 μm. Scale bar: 12 μm. b A schematic of the membrane deflection by a cantilever tip. Δzc is the cantilever deflection, g0 = 285 nm the separation between the membrane and the bottom Si substrate, d the membrane diameter, and δ the membrane deflection. c A force versus membrane deflection plot of the membrane shown in (a). Experimental data (filled blue circles) are fit by the point-force deflection of a circular membrane model of Eq. (1) (solid magenta line). The inset shows a histogram of the Young's moduli extracted from 18 CGT membranes of 9.5–30.1 nm thicknesses (see Supplementary Note 1), which were used to obtain the mean value of the Young's modulus E and corresponding standard deviation σ.