Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover

Abstract

We investigate electronic quantum transport through nano-wires with one-sided surface roughness. A magnetic field perpendicular to the scattering region is shown to lead to exponentially diverging localization lengths in the quantum-to-classical crossover regime. This effect can be quantitatively accounted for by tunneling between the regular and the chaotic components of the underlying mixed classical phase space.

4 pages, 3 figures; final version (including added references)

References in corpus (4)

• Directed Chaotic Transport in Hamiltonian Ratchets
• Ballistic quantum transport at high energies and high magnetic fields
• Flooding of regular islands by chaotic states
• Signature of directed chaos in the conductance of a nanowire

Cited by in corpus (11)

• Dynamical tunneling in mushroom billiards
• Long-Range Order in Electronic Transport through Disordered Metal Films
• Regular-to-chaotic tunneling rates using a fictitious integrable system
• Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
• Universality in the flooding of regular islands by chaotic states
• Surface scattering and band gaps in rough waveguides and nanowires
• Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering
• Electron spin relaxation in n-type InAs quantum wires
• Disorder to chaos transition in the conductance distribution of corrugated waveguides
• Spinor Dynamics of Quantum Accelerator Modes near Higher Order Resonances
• Husimi function for electrons moving in magnetic fields