Nanowires with surface disorder: Giant localization length and dynamical tunneling in the presence of directed chaos

2009/08/24 by Johannes Feist, J. Feist, Arnd Bäcker +7 · 1 citation
Mathematics · Physics and Astronomy · #Anderson localization #Chaotic #Condensed matter physics #Coupling (piping) #Crossover #Geometry #Materials science #Mathematics #Nanowire #Perpendicular #Phase space #Physics #Quantum #Quantum and electron transport phenomena #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum mechanics #Quantum tunnelling #Semiconductor Quantum Structures and Devices #Statistical physics #Surface (topology) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.80.245322

published as Phys. Rev. B 80, 245322 (2009) · 15 pages, 12 figures

arxiv created 2009/08/24 · openalex publication_date 2009/12/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate electronic quantum transport through nanowires 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.

Citations

• Flooding of Chaotic Eigenstates into Regular Phase Space Islands
• Stable Quantum Resonances in Atom Optics
• Classical and Quantum Hamiltonian Ratchets
• Ballistic quantum transport at high energies and high magnetic fields
• Directed chaotic transport in Hamiltonian ratchets
• Conductance quantization and transport gaps in disordered graphene nanoribbons
• Universality in the flooding of regular islands by chaotic states
• Simulation of electron transport through a quantum dot with soft walls
• Dynamical Tunneling in Mushroom Billiards
• Regular-to-Chaotic Tunneling Rates Using a Fictitious Integrable System
• Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
• Enhancement of Localization in One-Dimensional Random Potentials with Long-Range Correlations
• Signature of Directed Chaos in the Conductance of a Nanowire

Cited by

• Direct regular-to-chaotic tunneling rates using the fictitious-integrable-system approach