Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size

Abstract

We present a microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size. The derivation leads to a renormalized, position-dependent diffusion coefficient. The position dependence of the latter is due to the position dependence of return probability in a bounded medium.

12 pages, 4 figures

References in corpus (4)

• Dynamics of Anderson localization in open 3D media
• Expansion of a Bose-Einstein Condensate in the Presence of Disorder
• Dynamics of weakly localized waves
• Supersymmetric field theory of local light diffusion in semi-infinite media

Cited by in corpus (5)

• Anderson localization as position-dependent diffusion in disordered waveguides
• Quantum Diffusion of Matter Waves in 2D Speckle Potentials
• Control of Light Diffusion in a Disordered Photonic Waveguide
• Comment on "Scaling behavior of classical wave transport in mesoscopic media at the localization transition"
• Getting beneath the surface of opaque media: universal structure of transmission eigenchannels