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Wave packet approach to transport in mesoscopic systems

2010/02/26 by Tobias Kramer, Christoph Kreisbeck, Viktor Krueckl
Engineering · Physics and Astronomy · #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Semiconductor materials and devices #cond-mat.mes-hall

paper · pdf · doi:10.1088/0031-8949/82/03/038101

published as Physica Scripta vol. 82 038101 (2010) · 12 pages, 4 figures

arxiv created 2010/02/26 · openalex publication_date 2010/08/18 · arxiv updated 2010/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 Schrödinger 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.

Citations