Electrical and Computer Engineering Commons^™

Low Rank Approximation Method For Efficient Green's Function Calculation Of Dissipative Quantum Transport, Lang Zeng, Yu He, Michael Povolotskyi, Xiao Yan Liu, Gerhard Klimeck, Tillmann Kubis

Birck and NCN Publications

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 …