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Phys. Rev. B 79, 035124 (2009) [8 pages]

Density-gradient-corrected embedded atom method

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Gang Wu1,*, Gang Lu1,†, Carlos J. García-Cervera2, and Weinan E3
1Department of Physics and Astronomy, California State University Northridge, Northridge, California 91330-8268, USA
2Mathematics Department, University of California–Santa Barbara, Santa Barbara, California 93106, USA
3Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000, USA

Received 22 December 2008; published 28 January 2009

Through detailed comparisons between embedded atom method (EAM) and first-principles calculations for Al, we find that EAM tends to fail when there are large electron-density gradients present. We attribute the observed failures to the violation of the uniform density approximation (UDA) underlying EAM. To remedy the insufficiency of UDA, we propose a gradient-corrected EAM model which introduces gradient corrections to the embedding function in terms of exchange correlation and kinetic energies. Based on the perturbation theory of “quasiatoms” and density-functional theory, the embedding function captures the essential physics missing in UDA and paves the way for developing more transferable EAM potentials. With Voter-Chen EAM potential as an example, we show that the gradient corrections can significantly improve the transferability of the potential.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.79.035124
DOI:
10.1103/PhysRevB.79.035124
PACS:
71.15.−m, 31.15.xv, 61.50.Ah, 62.20.F−

*wugaxp@gmail.com

ganglu@csun.edu