Spectrum of typical fluctuations of local density of states and the NMR line shape in a two-dimensional electronic system

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>${\mathit{T}}_0$, where ${\mathit{T}}_0$ is the typical energy spacing between the nearest localized states. The width of the distribution increases logarithmically with lowering temperature. At the same time, the factor in front of the logarithm doubles at the transition from the ballistic (T>ħ/τ) to the diffusion (${\mathit{T}}_0$TT${\mathit{T}}_0$ the area of typical Knight shifts displaces to small values and the distribution function becomes highly asymmetric.