Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
arXiv:cond-mat/0606586 · doi:10.1103/PhysRevLett.97.116804
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.
arXiv comment4 pages, 3 figures; final version (including added references)
References in corpus (11)
- Random-Matrix Theory of Quantum Transport
- Directed Chaotic Transport in Hamiltonian Ratchets
- Stable Quantum Resonances in Atom Optics
- Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes
- Ballistic quantum transport at high energies and high magnetic fields
- Flooding of regular islands by chaotic states
- Decay of Quantum Accelerator Modes
- Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
- Ballistic Localization in Quasi-1D Waveguides with Rough Surfaces
- Magnetic Field Effects on the Transport Properties of One-sided Rough Wires
- Signature of directed chaos in the conductance of a nanowire
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