Ground State Analysis on the FCC Lattice with Four Pair Interactions

Abstract

We have partially solved the ground state problem of binary alloys on the fee lattice with pair interactions up to the fourth nearest neighbor distance. Our results extend the study presented by Kanamori and Kakehashi [1], releasing the constraint they imposed on the nearest neighbor correlation. The solution we present increases the number of possible ground state structures by an order of magnitude with respect to previous results. We have applied both the polyhedron and the enumeration method. The latter proved more powerful when including interactions beyond the second nearest neighbor distance.

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    It could (and in fact does) happen that two different structures with the same volume have the same set of correlations. In this case we only keep one set of correlations to compute the ground states, but keep in mind that these two structures will be degenerated within the approximation used.

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Acknowledgments

This work was sponsored in part by the National Science Foundation MRL Contract DMR90-22933. G.D.G. acknowledges the Rocca Fellowship under which part of this work was done. We thank Kenneth Clarkson for his help in solving the convex hull problem. The support of Steve Steiner in the computer programming is gratefully acknowledged.

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Correspondence to Gerardo D. Garbulsky.

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Garbulsky, G.D., Tepesch, P.D. & Ceder, G. Ground State Analysis on the FCC Lattice with Four Pair Interactions. MRS Online Proceedings Library 291, 259–265 (1992). https://doi.org/10.1557/PROC-291-259

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