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We develop and solve a continuum theory for the piezoelectric response of nanotubes under applied uniaxial and torsional stresses. We find that the piezoelectric response is controlled by the chiral angle, the aspect ration, and two dimensionless parameters specifying the ratio of the strengths of the electrostatic and elastic energies. The model is solved in two limiting cases and the solutions are discussed. These systems are found to have several unxpected physical effects not seen in conventional bulk systems, including a strong stretch-twist coupling and the development of a signficant bound charge density in addition to a surface charge density.
Michalski, P., & Mele, E. J. (2007). Continuum Theory for Piezoelectric Response of Chiral Nanotubes Under Uniaxial and Torsional Stresses. Retrieved from https://repository.upenn.edu/physics_papers/121
Date Posted: 03 March 2011
This document has been peer reviewed.