DISTRIBUTION OF LOCAL-DENSITY OF STATES IN DISORDERED METALLIC SAMPLES - LOGARITHMICALLY NORMAL ASYMPTOTICS

Asymptotical behavior of the distribution function of local density of states (LDOS) in disordered metallic samples is studied by making use of the supersymmetric sigma-model approach, in combination with the s addlepoint method. The LDOS distribution is found to have the logarith mically normal asymptotics for quasi-one-dimensional (1D) and 2D sampl e geometries. In the case of a quasi-one-dimensional sample, the resul t is confirmed by the exact solution. In the 2D case perfect agreement with an earlier renormalization group calculation is found. In 3D the found asymptotic behavior is of a somewhat different type: P(rho) sim ilar to exp(-constX\ln(3) rho\).