Low Rank Approximation Method for Efficient Green's Function Calculation of Dissipative Quantum Transport
Abstract
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.
Cite
@article{arxiv.1304.0316,
title = {Low Rank Approximation Method for Efficient Green's Function Calculation of Dissipative Quantum Transport},
author = {Lang Zeng and Yu He and Michael Povolotsky and XiaoYan Liu and Gerhard Klimeck and Tillmann Kubis},
journal= {arXiv preprint arXiv:1304.0316},
year = {2015}
}
Comments
9 pages, 7 figures