2004•Journal of Physics Condensed MatterOpen access

Piezoresistance properties of quasicrystals

Xiang Zhou, Chengzheng Hu, Ping Gong, Sheng-De Qiu

Abstract

Piezoresistance properties of quasicrystals due to both phonon and phason stresses are investigated. The classical formulae of the piezoresistance effect in crystals are generalized to the case of quasicrystals. The number of independent components of the piezoresistivity tensor and their matrix forms are determined for three-dimensional icosahedral quasicrystals and all two-dimensional quasicrystals with fivefold, eightfold, tenfold and twelvefold symmetries. Our results show that the piezoresistance effect may be related only to phonon stress in the case of dodecagonal quasicrystals or to both phonon and phason stresses in the other case.

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Key concepts: Phason, Quasicrystal, Icosahedral symmetry, Condensed matter physics, Materials science, Phonon, Stress (linguistics), Tensor (intrinsic definition)