TY - JOUR

T1 - Microscopic versus mesoscopic local density of states in one-dimensional localization.

AU - Schomerus, H.

AU - Titov, M.

AU - Brouwer, P. W.

AU - Beenakker, C. W. J.

PY - 2002

Y1 - 2002

N2 - We calculate the probability distribution of the local density of states ν in a disordered one-dimensional conductor or single-mode waveguide, attached at one end to an electron or photon reservoir. We show that this distribution does not display a log-normal tail for small ν, but diverges instead �ν-1/2. The log-normal tail appears if ν is averaged over rapid oscillations on the scale of the wavelength. There is no such qualitative distinction between microscopic and mesoscopic densities of states if the levels are broadened by inelastic scattering or absorption, rather than by coupling to a reservoir

AB - We calculate the probability distribution of the local density of states ν in a disordered one-dimensional conductor or single-mode waveguide, attached at one end to an electron or photon reservoir. We show that this distribution does not display a log-normal tail for small ν, but diverges instead �ν-1/2. The log-normal tail appears if ν is averaged over rapid oscillations on the scale of the wavelength. There is no such qualitative distinction between microscopic and mesoscopic densities of states if the levels are broadened by inelastic scattering or absorption, rather than by coupling to a reservoir

M3 - Journal article

VL - 65

SP - 121101

JO - Physical review B

JF - Physical review B

SN - 1550-235X

ER -