A. Knabchen et al., ATTENUATION OF SURFACE ACOUSTIC-WAVES BY QUANTUM DOTS, Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic, 77(5), 1998, pp. 1195-1202
The attenuation Gamma of surface acoustic waves (SAWs) by an array of
quantum dots is considered. The processes contributing to Gamma, direc
t and intralevel (Debye) absorption and (elastic) scattering off the d
irection of the SAW are discussed for two limiting cases of the energy
spectra of the dots: firstly a continuous spectrum, which is realized
when the SAW frequency omega is much larger than the mean level spaci
ng Delta or when the broadening of the levels is sufficiently strong,
Delta < tau(phi)(-1), tau(phi)(-1) being the phase breaking rate; seco
ndly a discrete spectrum, obtained for omega, tau(phi)(-1) < Delta. Th
e results show that the sensitivity of Gamma to weak-localization effe
cts such as magnetic fields, spin-orbit scattering and temperature, ar
e considerably enhanced for a discrete spectrum. It is argued that the
noninvasive character of the measurement of Gamma makes the SAW exper
iments especially suitable for the determination of the temperature de
pendence of tau(phi)(-1) and the equilibration rate of the electronica
lly isolated dots.