Continuum Theory for Piezoelectricity in Nanotubes and Nanowires

Abstract

We develop and solve a continuum theory for the piezoelectric response of one dimensional nanotubes and nanowires, and apply the theory to study electromechanical effects in BN nanotubes. We find that the polarization of a nanotube depends on its aspect ratio, and a dimensionless constant specifying the ratio of the strengths of the elastic and electrostatic interactions. The solutions of the model as these two parameters are varied are discussed. The theory is applied to estimate the electric potential induced along the length of a BN nanotube in response to a uniaxial stress.

4 pages in RevTex4, 2 epsf figures

References in corpus (3)

• Electric Polarization of Heteropolar Nanotubes as a Geometric Phase
• Spontaneous polarization and piezoelectricity in boron nitride nanotubes
• Nanotube Piezoelectricity

Cited by in corpus (4)

• Boron Nitride Nanotube Films Grown From Boron Ink Painting
• Harmonic vibrational excitations in graded elastic networks: transition from phonons to gradons
• Continuum theory for the piezoelectric response of chiral nanotubes under uniaxial and torsional stresses
• Temperature gradient and Fourier's law in gradient-mass harmonic systems