Electron spin resonance (ESR) was measured on high-mobility two-dimensional
electron gases (2DEG) in modulation-doped SiGe/Si quantum wells. We observ
e a resonance line as narrow as 40 mG, which allows the detection of as few
as 10(9) spins in a standard microwave absorption configuration. Longitudi
nal spin relaxation times T-i of up to 30 mu s were found, which is six to
seven orders of magnitude longer than the momentum relaxation times in thes
e samples. Using either gated samples or samples where the 2D carrier densi
ty n(s) can be adjusted persistently by illumination, the ESR signal was re
corded as a function of the carrier density. By measuring the integrated ES
R absorption the density of states (DOS) at the Fermi level can be derived
as a function of n(s). The 2D DOS shows a tail, which allows a quantitative
extraction of the potential fluctuations. (C) 2000 Elsevier Science S.A. A
ll rights reserved.