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In this work, the low rank approximation concept is extended to thenon-equilibrium Green's function (NEGF) method to achieve a very efficientapproximated algorithm for coherent and incoherent electron transport. This newmethod is applied to inelastic transport in various semiconductor nanodevices.Detailed benchmarks with exact NEGF solutions show 1) a very good agreementbetween approximated and exact NEGF results, 2) a significant reduction of therequired memory, and 3) a large reduction of the computational time (a factorof speed up as high as 150 times is observed). A non-recursive solution of theinelastic NEGF transport equations of a 1000 nm long resistor on standardhardware illustrates nicely the capability of this new method.

Low Rank Approximation Method for Efficient Green's Function Calculation of Dissipative Quantum Transport