Wave packet approach to transport in mesoscopic systems

Abstract

Wave packets provide a well established and versatile tool for studying time-dependent effects in molecular physics. Here, we demonstrate the application of wave packets to mesoscopic nanodevices at low temperatures. The electronic transport in the devices is expressed in terms of scattering and transmission coefficients, which are efficiently obtained by solving an initial value problem (IVP) using the time-dependent Schroedinger equation. The formulation as an IVP makes non-trivial device topologies accessible and by tuning the wave packet parameters one can extract the scattering properties for a large range of energies.

12 pages, 4 figures

References in corpus (7)

• Quantum Transport in Semiconductor Nanostructures
• Imaging Magnetic Focusing of Coherent Electron Waves
• Revivals of quantum wave-packets in graphene
• Electron propagation in crossed magnetic and electric fields
• Self-consistent calculation of electric potentials in Hall devices
• An efficient and accurate method to obtain the energy-dependent Green function for general potentials
• Theory of the quantum Hall effect in graphene

Cited by in corpus (15)

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• Phase shifts and phase $\pi$-jumps in four-terminal waveguide Aharonov-Bohm interferometers
• Two-dimensional topological insulator edge state backscattering by dephasing
• Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer
• Time-dependent approach to transport and scattering in atomic and mesoscopic physics
• Two-electron selective coupling in an edge-state based conditional phase shifter
• Optimization of electron pumping by harmonic mixing
• Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators
• Time-dependent transport in Graphene Mach-Zender Interferometers
• Interacting Electron Wave Packet Dynamics in a Two-dimensional Nanochannel
• Absorption and Injection Models for Open Time-Dependent Quantum Systems
• Transient capture of electrons in magnetic fields, or: comets in the restricted three-body problem