NDLI: Nested dissection solver for transport in 3D nano-electronic devices

Content Provider	Springer Nature Link
Author	Zhao, Y. Hetmaniuk, U. Patil, S. R. Qi, J. Anantram, M. P.
Copyright Year	2015
Abstract	The hierarchical Schur complement method (HSC) and the HSC-extension have significantly accelerated the evaluation of the retarded Green’s function, particularly the lesser Green’s function, for two-dimensional nanoscale devices. In this work, the HSC-extension is applied to determine the solution of non-equilibrium Green’s functions on three-dimensional nanoscale devices. The operation count for the HSC-extension is analyzed for a cuboid device. When a cubic device is discretized with $$N \times N \times N$$ grid points, the state-of-the-art recursive Green function (RGF) algorithm takes $$\mathscr {O}(N^7)$$ operations, whereas the HSC-extension only requires $$\mathscr {O}(N^6)$$ operations. Operation counts and runtimes are also studied for three-dimensional nanoscale devices of practical interest: a graphene-boron nitride-graphene multilayer system, a silicon nanowire, and a DNA molecule. The numerical experiments indicate that the cost for the HSC-extension is proportional to the solution of one linear system (or one LU-factorization) and that the runtime speed-ups over RGF exceed three orders of magnitude when simulating realistic devices, such as a graphene-boron nitride-graphene multilayer system with 40,000 atoms.
Starting Page	708
Ending Page	720
Page Count	13
File Format	PDF
ISSN	15698025
Journal	Journal of Computational Electronics
Volume Number	15
Issue Number	2
e-ISSN	15728137
Language	English
Publisher	Springer US
Publisher Date	2016-01-02
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nanodevice Numerical simulation Green’s functions 3D device modeling ApplicationMathematics/Computational Methods of Engineering Electrical Engineering Theoretical, Mathematical and Computational Physics Optical and Electronic Materials Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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