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Quadrupole Susceptibility and Elastic Softening due to a Vacancy in Silicon Crystal
Quadrupole Susceptibility and Elastic Softening due to a Vacancy in Silicon Crystal
Yamada, Takemi
7123
Yamakawa, Youichi
7124
Ono, Yoshiaki
62
silicon
vacancy
softening
quadrupole
elastic constant
We investigate the electronic states around a single vacancy in silicon crystal by using the Green's function approach. The triply degenerate vacancy states within the band gap are found to be extended over a large distance 20 Å from the vacancy site and contribute to the reciprocal temperature dependence of the quadrupole susceptibility resulting in the elastic softening at low temperture. The Curie constant of the quadrupole susceptibility for the trigonal mode (Oyz ,Ozx, Oxy) is largely enhanced as compared to that for the tetragonal mode (O_2^0, O_2^2). The obtained results are consistent with the recent ultrasonic experiments in silicon crystal down to 20 mK. We also calculate the dipole and octupole susceptibilities and find that the octupole susceptibilities are extremely enhannced for a specific mode.
journal article
日本物理学会
2009-05
application/pdf
Journal of the Physical Society of Japan
5
78
054702-1
054702-6
Journal of the Physical Society of Japan
AA00704814
00319015
https://niigata-u.repo.nii.ac.jp/record/2124/files/991.pdf
eng
info:doi/10.1143/JPSJ.78.054702
http://journals.jps.jp/doi/abs/10.1143/JPSJ.78.054702
Copyright (C) 2009 The Physical Society of Japan