## Disorder to chaos transition in the conductance distribution of corrugated waveguides    [PDF]

A. Alcazar-Lopez, J. A. Mendez-Bermudez
We perform a detailed numerical study of the distribution of conductances \$P(T)\$ for quasi-one-dimensional corrugated waveguides as a function of the corrugation complexity (from rough to smooth). We verify the universality of \$P(T)\$ in both, the diffusive (\$\bra T \ket> 1\$) and the localized (\$\bra T \ket\ll 1\$) transport regimes. However, at the crossover regime (\$\bra T \ket \sim 1\$), we observe that \$P(T)\$ evolves from the surface-disorder to the bulk-disorder theoretical predictions for decreasing complexity in the waveguide boundaries. We explain this behavior as a transition from disorder to deterministic chaos; since, in the limit of smooth boundaries the corrugated waveguides are, effectively, linear chains of chaotic cavities.
View original: http://arxiv.org/abs/1302.6931