학술논문

Real-Space Multigrid Method for Linear-Response Quantum Transport in Molecular Electronic Devices
Document Type
Periodical
Source
IEEE Transactions on Nanotechnology IEEE Trans. Nanotechnology Nanotechnology, IEEE Transactions on. 6(2):238-244 Mar, 2007
Subject
Components, Circuits, Devices and Systems
Computing and Processing
Multigrid methods
Molecular electronics
Orbital calculations
Electrodes
Birth disorders
Acceleration
Convergence
Green's function methods
Current-voltage characteristics
Voltage
Density functional theory
electron transport
molecular electronics
multigrid method
Language
ISSN
1536-125X
1941-0085
Abstract
We present a self-consistent ab initio simulation method to calculate coherent quantum transport through a molecule connected to metal electrodes in the linear-response regime. Density-functional theory (DFT) is applied to the metal-molecule-metal system. The molecule and the metal electrodes are treated on the same footing as one extended molecule. The Full Approximation Scheme (FAS) nonlinear multigrid technique is used to accelerate convergence in a nonorthogonal localized orbital basis. The Landauer formula is employed to calculate the current with the transmission function obtained from a Green's function calculation. The current–voltage characteristics of a benzene-1,4-dithiolate (BDT) extended molecule are studied as an example, and our results are compared to other theoretical calculations. We also show that a recently formulated constrained-current formalism is invariant to a reversal in the imposed current. Hence, the predicted voltage drop must be zero. This suggests the theory must be modified to properly treat possible nonlinearities in the nonzero current case.