Disorder to chaos transition in the conductance distribution of corrugated waveguides

Abstract

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 ($⟨T||>⟩1$) and the localized ($⟨T||\ll ⟩1$) transport regimes. However, at the crossover regime ($⟨T||\sim ⟩1$), 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.

arXiv comment6 pages, 4 figures

References in corpus (25)

• Random-Matrix Theory of Quantum Transport
• Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes
• Quantum Transport in Disordered Wires: Equivalence of One-Dimensional Sigma Model and Dorokhov-Mello-Pereyra-Kumar Equation
• Induced vs Spontaneous Breakdown of S-matrix Unitarity: Probability of No Return in Quantum Chaotic and Disordered Systems
• Reflection and transmission of waves in surface-disordered waveguides
• Intensity Distribution of Modes in Surface Corrugated Waveguides
• Conductances, Conductance Fluctuations, and Level Statistics on the Surface of Multilayer Quantum Hall States
• Transition from Diffusive to Localized Regimes in Surface Corrugated Optical Waveguides
• Classical versus Quantum Structure of the Scattering Probability Matrix. Chaotic wave-guides
• Statistical Scattering of Waves in Disordered Waveguides: from Microscopic Potentials to Limiting Macroscopic Statistics
• Conductance distribution in disordered quantum wires: Crossover between the metallic and insulating regimes
• Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
• Understanding quantum scattering properties in terms of purely classical dynamics. 2D open chaotic billiards
• Statistical Distribution of Intensities Reflected from Disordered Media
• Conductance of a Single-mode Electron Waveguide with Statistically Identical Rough Boundaries
• Quantum and Boltzmann transport in the quasi-one-dimensional wire with rough edges
• Manifestation of the Roughness-Square-Gradient Scattering in Surface-Corrugated Waveguides
• Gradient and Amplitude Scattering in Surface-Corrugated Waveguides
• Ballistic Localization in Quasi-1D Waveguides with Rough Surfaces
• From Chaos to Disorder in Quasi-1D Billiards with Corrugated Surfaces
• Surface scattering and band gaps in rough waveguides and nanowires
• Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos
• Theory of semi-ballistic wave propagation
• Ballistic, diffusive, and localized transport in surface-disordered systems: Two-mode waveguide
• Diffusive transport of waves in a periodic waveguide

Cited by in corpus (1)

• Resonant Anderson localization in segmented wires