Piezoelectric effects in quasicrystals induced by both phonon and phason fields are investigated. Some characteristic features are predicted. Nonvanishing piezoelectric coefficients are deduced for two-dimensional quasicrystals with crystallographically allowable and forbidden symmetries as well as three-dimensional icosahedral and cubic quasicrystals. Our results show that (1) while there may be no piezoelectric effect in quasicrystals induced by phonon fields, the effect may yet be nonzero due to phason fields, and (2) the piezoelectric effect may be due (a) only to phonon fields, (b) only to phason fields, or (c) to both.

• Received 20 December 1996

DOI:https://doi.org/10.1103/PhysRevB.56.2463