2013/04/01 by Lang Zeng, Yu He, Michael Povolotskyi +5 · 20 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Applied mathematics #Computational physics #Dissipative system #Function (biology) #Green's function #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Rank (graph theory) #Reduction (mathematics) #Resistor #Statistical physics #Surface and Thin Film Phenomena #Work (physics) #cond-mat.mes-hall
paper · pdf · doi:10.1063/1.4809638
published in Journal of Applied Physics 113(21) (American Institute of Physics) · 9 pages, 7 figures
arxiv created 2013/04/01 · openalex publication_date 2013/06/07 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, the low rank approximation concept is extended to the non-equilibrium Green's function (NEGF) method to achieve a very efficient approximated algorithm for coherent and incoherent electron transport. This new method is applied to inelastic transport in various semiconductor nanodevices. Detailed benchmarks with exact NEGF solutions show (1) a very good agreement between approximated and exact NEGF results, (2) a significant reduction of the required memory, and (3) a large reduction of the computational time (a factor of speed up as high as 150 times is observed). A non-recursive solution of the inelastic NEGF transport equations of a 1000 nm long resistor on standard hardware illustrates nicely the capability of this new method.