Vn. Prigodin, SPECTRUM OF TYPICAL FLUCTUATIONS OF LOCAL-DENSITY OF STATES AND THE NMR LINE-SHAPE IN A 2-DIMENSIONAL ELECTRONIC SYSTEM, Physical review. B, Condensed matter, 47(16), 1993, pp. 10885-10887
The Knight-shift distribution function for the two-dimensional weakly
disordered metal is determined in the whole temperature region. It has
the Gaussian form around the mean value as long as T > T0, where T0 i
s the typical energy spacing between the nearest localized states. The
width of the distribution increases logarithmically with lowering tem
perature. At the same time, the factor in front of the logarithm doubl
es at the transition from the ballistic (T > HBAR/tau) to the diffusio
n (T0 < T < HBAR/tau) regime (tau is the mean time of free path). At l
ow temperatures T < T0 the area of typical Knight shifts displaces to
small values and the distribution function becomes highly asymmetric.