Wednesday, April 3, 2013

1304.0316 (Lang Zeng et al.)

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

Lang Zeng, Yu He, Michael Povolotsky, XiaoYan Liu, Gerhard Klimeck, Tillmann Kubis
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.
View original: http://arxiv.org/abs/1304.0316

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