Numéro |
J. Phys. I France
Volume 5, Numéro 1, January 1995
|
|
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Page(s) | 111 - 127 | |
DOI | https://doi.org/10.1051/jp1:1995118 |
J. Phys. I France 5 (1995) 111-127
Line-Shape Analysis of High Resolution X-Ray Diffraction Spectra of Finite Size Thue-Morse GaAs-AlAs Multilayer Heterostructures
Jacques Peyrière1, Eric Cockayne2 and Françoise Axel21 Equipe d'Analyse Harmonique (CNRS - URA 757), Bât. 425, Université Paris-Sud, 91405 Orsay, France
2 Laboratoire de Physique des Solides (CNRS - URA 002), Bât. 510, Université Paris-Sud, 91405 Orsay, France
(Received 15 July 1994, received in final form 12 September 1994, accepted 26 September 1994)
Abstract
We present a detailed and thorough theoretical and numerical line shape analysis of high resolution
X-ray diffraction spectra of Thue-Morse GaAs-AlAs superlattice heterostructures having finite size
(
2n layers), which fully confirms the essentials of the preliminary analysis of previous
work [1]: Most of the peaks are labeled by the irreducible rationals
k/(3.2m), k
and
m integers, in convenient units, the dependence of their intensity on sample size is
governed by exponents and the diffraction spectrum retains
the essential properties of a singular continuous measure. The effects of instrumental parameters
is taken into account, in particular detector resolution effects. Furthermore we investigate
the effects on the diffraction spectrum of MBE deposited layer roughness, represented by a random
fluctuation of layer thickness.
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