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Efficient stochastic generation of special quasirandom structures

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TLDR
The proposed method optimizes the shape of the supercell jointly with the occupation of the atomic sites, thus ensuring that the configurational space searched is exhaustive and not biased by a pre-specified supercell shape.
Abstract
We present a new algorithm to generate Special Quasirandom Structures (SQS), i.e., best periodic supercell approximations to the true disordered state for a given number of atoms per supercell. The method is based on a Monte Carlo simulated annealing loop with an objective function that seeks to perfectly match the maximum number of correlation functions (as opposed to merely minimizing the distance between the SQS correlation and the disordered state correlations for a pre-specified set of correlations). The proposed method optimizes the shape of the supercell jointly with the occupation of the atomic sites, thus ensuring that the configurational space searched is exhaustive and not biased by a pre-specified supercell shape. The method has been implemented in the “mcsqs” code of the Alloy Theoretic Automated Toolkit (ATAT) in the most general framework of multicomponent multisublattice systems and in a way that minimizes the amount of input information the user needs to specify and that allows for efficient parallelization.

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References
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Journal ArticleDOI

Special quasirandom structures.

TL;DR: It is shown that it is possible to design special quasirandom structures'' (SQS) that mimic for small {ital N} the first few, physically most relevant radial correlation functions of a perfectly random structure far better than the standard technique does.
Journal ArticleDOI

Linear scaling electronic structure methods

TL;DR: In this paper, the physical decay properties of the density matrix were studied for both metals and insulators, and several strategies for constructing O(N) algorithms were presented and critically examined.
Journal ArticleDOI

The Alloy Theoretic Automated Toolkit: A User Guide

TL;DR: A concise user guide is presented outlining the steps required to obtain thermodynamic information from ab initio calculations of alloy thermodynamic properties from first-principles.
Journal ArticleDOI

Automating first-principles phase diagram calculations

TL;DR: In this article, the authors present a statistical basis for the selection of both the interaction parameters to include in the cluster expansion and the structures to use to determine them, which is based on the concepts of cross-validation and variance minimization.
Journal ArticleDOI

Multicomponent multisublattice alloys, nonconfigurational entropy and other additions to the Alloy Theoretic Automated Toolkit

TL;DR: The Alloy Theoretic Automated Toolkit (ATATAT) as mentioned in this paper can handle multisublattice alloy systems, nonconfigurational sources of entropy (e.g. vibrational and electronic entropy), Special Quasirandom Structures (SQS) generation, tensorial cluster expansion construction and interfaces for multiple atomistic or ab initio codes.
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