Statistical Properties of the Local Density of States and the Knight Shift in Disordered Wires

Abstract

Using the supersymmetric formalism, we calculate the distribution function of the local density of states (LDOS) of the quasi-1D disordered system. The shape of the distribution function and the position of its maximum are determined by the ratio of the level broadening to the mean level spacing per localization length. The fluctuations of LDOS and eigenfunction amplitudes in quasi-1D case are shown to be much stronger than for strictly 1D systems. Experimentally, the obtained LDOS distribution may be observed by investigating the shape of a NMR line in a wire or a quasi-1D organic conductor.