Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos

Abstract

We investigate electron quantum transport through nano-wires with one-sided surface roughness in the presence of a perpendicular magnetic field. Exponentially diverging localization lengths are found in the quantum-to-classical crossover regime, controlled by tunneling between regular and chaotic regions of the underlying mixed classical phase space. We show that each regular mode possesses a well-defined mode-specific localization length. We present analytic estimates of these mode localization lengths which agree well with the numerical data. The coupling between regular and chaotic regions can be determined by varying the length of the wire leading to intricate structures in the transmission probabilities. We explain these structures quantitatively by dynamical tunneling in the presence of directed chaos.

15 pages, 12 figures

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Cited by in corpus (10)

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• Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
• Complex paths for regular-to-chaotic tunneling rates
• Surface scattering and band gaps in rough waveguides and nanowires
• Reflection resonances in surface-disordered waveguides: strong higher-order effects of the disorder
• Vectorial velocity filter for ultracold neutrons based on a surface-disordered mirror system
• Disorder to chaos transition in the conductance distribution of corrugated waveguides
• Microwave studies of the three chiral ensembles in chains of coupled dielectric resonators
• Husimi function for electrons moving in magnetic fields
• Temporal flooding of regular islands by chaotic wave packets