Finite-size effect on the percolation and electromechanical behaviors of liquid metal particulate composites

Liquid metal particulate composites (LMPCs) are super-stretchable conductors with promising applications in soft electronics. Their conductance originates from the percolation networks of liquid metal particles. This work aims at elucidating the effect of finite-size and sample shape on the percolation and electromechanical properties of LMPCs, given that their dimensions range from microns to centimeters. It is found that their percolation threshold is dominated by the smallest dimension of the samples, not the shape or aspect ratio. A smaller sample size increases the percolation threshold and makes it harder to activate the conductance. In addition, smaller samples are more sensitive to local defects, which adversely impair the electromechanical properties or even undermine the conductance. Finally, this work considers the influence of finite-size on the piezoresistance effect, i.e., strain-dependent resistance. It is found that the piezoresistance effect and finite-size effect are uncorrelated, if the samples are above the percolation threshold. The findings provide not only fundamental insights on the finite-size effect of percolation but also guidance on the design-fabrication process for LMPCs to achieve more reliable electromechanical performance.