Session U45: Structural, Surface and other Phase Transitions
8:00 AM–11:00 AM, Thursday, March 16, 2006
Baltimore Convention Center Room: 348
Sponsoring Unit:
DCMP
Chair: P. Riseborough, Temple University
Abstract ID: BAPS.2006.MAR.U45.13
Abstract: U45.00013 : Scaling Behavior of Classical Wave Transport in Mesoscopic Media at the Localization Transition
10:24 AM–10:36 AM
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Abstract 
Authors:
Sai-Kit Cheung
Zhao-Qing Zhang
(Department of Physics, The Hong Kong University of Science and Technology)
The propagation of classical wave in disordered media at the Anderson localization transition is studied. Our results show that the scaling behavior of wave transport depends on the sample's geometry. It is found that the averaged static diffusion constant $D(L)$ scales like $\ln L/L$ in cubes or slabs, and the corresponding transmission follows $\left\langle {T(L)} \right\rangle \propto \ln L/L^2$. This is in contrast to the scaling behavior of $D(L)\propto 1/L$ and $\left\langle {T(L)} \right\rangle \propto 1/L^2$ obtained previously for electrons or spherical samples. For wave dynamics, we solve the Bethe-Salpeter equation in a disordered slab with the recurrent scattering incorporated in a self-consistent manner. All of the static and dynamic transport quantities studied are found to follow the new scaling behavior of $D(L)$.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2006.MAR.U45.13