Guangying Yang, Jianke Du, Ji Wang and Jiashi Yang
Vol. 13 (2018), No. 1, 103–120
DOI: 10.2140/jomms.2018.13.103
Abstract
We study electromechanical fields in a piezoelectric semiconductor rod nonuniformly
doped with impurities producing holes and electrons. The phenomenological theory of
piezoelectric semiconductors consisting of the equations of piezoelectricity and the
conservation of charge for holes and electrons is used, which was reduced to a
one-dimensional model for thin rods in a previous paper. In this paper the
one-dimensional theory is linearized for low electric potential or voltage.
Solutions from the linearized one-dimensional equations are obtained for
three specific doping profiles: linear doping, piecewise linear doping with
fundamentally important applications in PN junctions, and sinusoidal doping.
Various electromechanical fields produced by the doping are calculated and
examined. The results are fundamental to piezoelectric semiconductor devices or
piezotronics.