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Reducing the number of candidate structures is crucial to improve the efficiency of global optimization. Herein, we demonstrate that the generalized Hamiltonian can be described by the atom classification model (ACM) based on symmetry,…

Materials Science · Physics 2022-07-06 Yu-Jie Cen , Chang-chun He , Shao-Bin Qiu , Yu-Jun Zhao , Xiao-Bao Yang

Lattice models, also known as generalized Ising models or cluster expansions, are widely used in many areas of science and are routinely applied to alloy thermodynamics, solid-solid phase transitions, magnetic and thermal properties of…

Disordered Systems and Neural Networks · Physics 2016-11-17 Wenxuan Huang , Daniil A. Kitchaev , Stephen Dacek , Ziqin Rong , Alexander Urban , Shan Cao , Chuan Luo , Gerbrand Ceder

We propose an approach to materials prediction that uses a machine-learning interatomic potential to approximate quantum-mechanical energies and an active learning algorithm for the automatic selection of an optimal training dataset. Our…

Materials Science · Physics 2018-06-28 Konstantin Gubaev , Evgeny V. Podryabinkin , Gus L. W. Hart , Alexander V. Shapeev

A linked cluster expansion suitable for the treatment of ground-state properties of complex nuclei, as well as of various particle-nucleus scattering processes, has been used to calculate the ground-state energy, density and momentum…

Nuclear Theory · Physics 2009-11-11 M. Alvioli , C. Ciofi degli Atti , H. Morita

Crystalline alloys and related mixed systems make up a large family of materials with high tunability which have been proposed as the solution to a large number of energy related materials design problems. Due to the presence of chemical…

Materials Science · Physics 2025-01-28 Pernilla Ekborg-Tanner , Petter Rosander , Erik Fransson , Paul Erhart

Predicting the ground state of alloy systems is challenging due to the large number of possible configurations. We identify an easily computed descriptor for the stability of binary surface alloys, the effective coordination number…

Materials Science · Physics 2017-02-17 Sananda Biswas , Shobhana Narasimhan

Lattice models parameterized using first-principles calculations constitute an effective framework to simulate the thermodynamic behavior of physical systems. The cluster expansion method is a flexible lattice-based method used extensively…

Materials Science · Physics 2023-01-09 Luis Barroso-Luque , Gerbrand Ceder

The work presents a simple formalism which proposes an estimate of the ground state energy from a single reference function. It is based on a perturbative expansion but leads to non linear coupled equations. It can be viewed as well as a…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Jean-Paul Malrieu

A model is constructed in which pair potentials are combined with the cluster expansion method in order to better describe the energetics of structurally relaxed substitutional alloys. The effect of structural relaxations away from the…

Materials Science · Physics 2012-03-06 H. Y. Geng , M. H. F. Sluiter , N. X. Chen

Generalized Ising models, also known as cluster expansions, are an important tool in many areas of condensed-matter physics and materials science, as they are often used in the study of lattice thermodynamics, solid-solid phase transitions,…

Statistical Mechanics · Physics 2016-06-27 Wenxuan Huang , Daniil Kitchaev , Stephen Dacek , Ziqin Rong , Zhiwei Ding , Gerbrand Ceder

Many-electron correlation methods offer a systematic approach to predicting material properties with high precision. However, practically attaining accurate ground-state properties for bulk metals presents significant challenges. In this…

Materials Science · Physics 2025-01-07 Tobias Schäfer

A class of proposed coherent precipitate structures (Guinier-Preston zones) in the Al-Mg-Si alloy are investigated using first-principles density functional theory methods. The cluster expansion method is used to extract effective…

Materials Science · Physics 2007-05-23 Nils Sandberg , Mattias Slabanja , Randi Holmestad

Finding Minimum Energy Configurations (MECs) is essential in fields such as physics, chemistry, and materials science, as they represent the most stable states of the systems. In particular, identifying such MECs in multi-component alloys…

Materials Science · Physics 2025-01-27 Md Rajib Khan Musa , Yichen Qian , Jie Peng , David Cereceda

Solute clusters affect the physical properties of alloys. Knowledge of the atomic structure of solute clusters is a prerequisite for material optimisation. In this study, solute clusters in a rapid-hardening Al-Cu-Mg alloy were…

We use the coupled cluster expansion ($\exp(S)$ method) to generate the complete ground state correlations due to the NN interaction. Part of this procedure is the calculation of the two-body G matrix inside the nucleus in which it is being…

Nuclear Theory · Physics 2009-10-31 Jochen H. Heisenberg , Bogdan. Mihaila

A huge number of independent true ground-state configurations is calculated for two-, three- and four-dimensional +- J spin-glass models. Using the genetic cluster-exact approximation method, system sizes up to N=20^2,8^3,6^4 spins are…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander K. Hartmann

Metallic solids are a challenging target for wavefunction-based electronic structure theories and have not been studied in great detail by such methods. Here, we use coupled-cluster theory with single and double excitations (CCSD) to study…

Materials Science · Physics 2022-04-05 Verena A. Neufeld , Hong-Zhou Ye , Timothy C. Berkelbach

A ``ballistic-search'' algorithm is presented which allows the identification of clusters (or funnels) of ground states in Ising spin glasses even for moderate system sizes. The clusters are defined to be sets of states, which are connected…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander K. Hartmann

Resolving the atomic-scale structure of defective high-entropy alloys (HEAs) containing interstitial species remains a major computational challenge due to the vast configurational space and the limitations of existing methods. Here we…

Materials Science · Physics 2026-03-11 Siya Zhu , Raymundo Arroyave

The classic metallurgical systems -- noble metal alloys -- that have formed the benchmark for various alloy theories, are revisited. First-principles fully relaxed general potential LAPW total energies of a few ordered structures are used…

Materials Science · Physics 2009-10-30 V. Ozolins , C. Wolverton , A. Zunger
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