Rough surface scattering in many-mode conducting channels: Gradient versus amplitude scattering

Abstract

We study the effect of surface scattering on transport properties in many-mode conducting channels (electron waveguides). Assuming a strong roughness of the surface profiles, we show that there are two independent control parameters that determine statistical properties of the scattering. The first parameter is the ratio of the amplitude of the roughness to the transverse width of the waveguide. The second one, which is typically omitted, is determined by the mean value of the derivative of the profile. This parameter may be large, thus leading to specific properties of scattering. Our results may be used in experimental realizations of the surface scattering of electron waves, as well as for other applications (e.g., for optical and microwave waveguides)

6 pages, no figures

References in corpus (4)

• Reflection and transmission of waves in surface-disordered waveguides
• Transition from Diffusive to Localized Regimes in Surface Corrugated Optical Waveguides
• Onset of Delocalization in Quasi-1D Waveguides with Correlated Surface Disorder
• Conductance of a Single-mode Electron Waveguide with Statistically Identical Rough Boundaries

Cited by in corpus (7)

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• Statistical Scattering of Waves in Disordered Waveguides: from Microscopic Potentials to Limiting Macroscopic Statistics
• Surface scattering and band gaps in rough waveguides and nanowires
• Anomalous localisation in the aperiodic Kronig-Penney model
• Transmission in waveguides with compositional and structural disorder: experimental effects of disorder cross-correlations
• Quantum Arnol'd diffusion in a rippled waveguide
• Discrimination between two mechanisms of surface-scattering in a single-mode waveguide