2014/05/31 by S. A. Gurvitz, Shmuel Gurvitz · 12 citations
Chemistry · Engineering · Physics and Astronomy · #Adiabatic process #Advancements in Semiconductor Devices and Circuit Design #Basis (linear algebra) #Chemistry #Computer science #Condensed matter physics #Current (fluid) #Electron #Electron transport chain #Limit (mathematics) #Mesoscopic physics #Molecular Junctions and Nanostructures #Physics #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Transient (computer programming) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1088/0031-8949/2015/t165/014013
published in Physica Scripta T165, 014013 (IOP Publishing) · Typo errors fixed
openalex publication_date 2015/10/01 · arxiv created 2015/10/12 · arxiv updated 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We developed a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method for transport of non-interacting electrons, we generalize the Landauer formula for transient currents and time-dependent potentials. The result has a very simple form and clear physical interpretation. As an example, we apply it to resonant tunneling through a quantum dot where the tunneling barriers are oscillating in time. We obtain an analytical expression for the time-dependent (ac) resonant current. However, in the adiabatic limit this expression displays the dc current for zero bias (electron pumping).