Abstract
The electron-spin-resonance spectra from surface-strained (but not externally stressed) antimony-doped germanium are investigated in detail. Experimental data are given for the linewidth, line asymmetry, and line-shape reversal feature as well as for the changes in donor concentration, temperature, and surface conditions. The donors of interest occur in a surface layer several microns thick. A theoretical analysis is based on the Kohn-Luttinger formulation for a shallow donor electron, which is forced by surface strain to predominately occupy a [111] conduction-band valley minimum. A substantial distribution in strain among the donor sites is necessary to account for the line-structure features. These features are predicted by a distribution function, which is calculated by using a narrowed Lorentzian line for a homogeneous line shape and a Gaussian strain distribution that determines the inhomogeneous broadening caused by strain-induced g-value variations. The one order of magnitude increase in linewidth with angle is attributed primarily to a g-3 dependence of the linewidth on strain. The asymmetry shape ratio of about 3 is attributed primarily to variations in the valley-population probabilities at different donor sites. The line-shape reversal feature is caused by an angular-dependent variation in the change of the g value with valley-population coefficients. For detailed calculations, distributed strain along the predominately occupied valley axis is assumed. It is found that the average compressive strain along the [111] axis is 10-4 with an accuracy of about 40% and that the Gaussian strain width is 0.6x10-4. This average strain corresponds to a predominant valley occupation of 99%. Our analysis can be used as a semiquantitative tool for determining strain conditions in Ge(Sb). © 1975 The American Physical Society.
Recommended Citation
E. B. Hale et al., "Strain Effects On The ESR Spectrum From Antimony Donors In Germanium," Physical Review B, vol. 12, no. 7, pp. 2553 - 2561, American Physical Society, Jan 1975.
The definitive version is available at https://doi.org/10.1103/PhysRevB.12.2553
Department(s)
Physics
International Standard Serial Number (ISSN)
0163-1829
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 American Physical Society, All rights reserved.
Publication Date
01 Jan 1975