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Excited-state electronic structure in strongly correlated systems remains challenging due to the exponential scaling of the many-body Hilbert space and the difficulty of constructing systematically controlled active spaces. Building on the…

Chemical Physics · Physics 2026-05-05 Annabelle Canestraight , Russell Miller , Libor Veis , Vojtech Vlcek

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

Traditionally, interatomic potentials assume local bond formation supplemented by long-range electrostatic interactions when necessary. This ignores intermediate range multi-atom interactions that arise from the relaxation of the electronic…

Materials Science · Physics 2022-11-07 Anton Bochkarev , Yury Lysogorskiy , Christoph Ortner , Gábor Csányi , Ralf Drautz

The Atomic Cluster Expansion (ACE) [R. Drautz, Phys. Rev. B, 99:014104 (2019)] provides a systematically improvable, universal descriptor for the environment of an atom that is invariant to permutation, translation and rotation. ACE is…

Computational Physics · Physics 2023-08-15 Christoph Ortner

Insight into structural and thermodynamic properties of nanoparticles is crucial for designing optimal catalysts with enhanced activity and stability. We present a semi-automated workflow for parameterizing the atomic cluster expansion…

The atomic cluster expansion (ACE) efficiently parameterizes complex energy surfaces of pure elements and alloys. Due to the local nature of the many-body basis, ACE is inherently local or semilocal for graph ACE. Here, we employ…

Materials Science · Physics 2024-11-07 Matteo Rinaldi , Anton Bochkarev , Yury Lysogorskiy , Ralf Drautz

The cluster expansion model (CEM) provides a powerful computational framework for rapid estimation of configurational properties in disordered systems. However, the traditional CEM construction procedure is still plagued by two fundamental…

Disordered Systems and Neural Networks · Physics 2023-07-24 Bibek Dash , Suhail Haque , Abhijit Chatterjee

We present a general-purpose parameterization of the atomic cluster expansion (ACE) for magnesium. The ACE shows outstanding transferability over a broad range of atomic environments and captures physical properties of bulk as well as…

Materials Science · Physics 2023-05-08 Eslam Ibrahim , Yury Lysogorskiy , Matous Mrovec , Ralf Drautz

For alloy thermodynamics, we obtain unique, physical effective cluster interactions (ECI) from truncated cluster expansions (CE) via subspace-projection from a complete configurational Hilbert space; structures form a (sub)space spanned by…

Materials Science · Physics 2012-09-28 Teck L. Tan , Duane D. Johnson

The Atomic Cluster Expansion (ACE) provides a formally complete basis for the local atomic environment. ACE is not limited to representing energies as a function of atomic positions and chemical species, but can be generalized to vectorial…

Materials Science · Physics 2023-05-25 Matteo Rinaldi , Matous Mrovec , Anton Bochkarev , Yury Lysogorskiy , Ralf Drautz

We propose a simple scheme to construct composition-dependent interatomic potentials for multicomponent systems that when superposed onto the potentials for the pure elements can reproduce not only the heat of mixing of the solid solution…

Materials Science · Physics 2012-01-31 B. Sadigh , P. Erhart , A. Stukowski , A. Caro

We explore the structural signatures of excitations in amorphous materials with the atomic cluster expansion (ACE), a universal and complete linear basis of descriptors of the atomic environment. Body-orderd linear classifiers are…

Disordered Systems and Neural Networks · Physics 2024-10-07 Joerg Rottler , Christoph Ortner

Accurate many-body treatments of condensed-phase systems are challenging because correlated solvers such as full configuration interaction (FCI) and the density matrix renormalization group (DMRG) scale exponentially with system size.…

Atomic cluster expansion (ACE) methods provide a systematic way to describe particle local environments of arbitrary body order. For practical applications it is often required that the basis of cluster functions be symmetrized with respect…

Materials Science · Physics 2024-02-27 James M. Goff , Charles Sievers , Mitchell A. Wood , Aidan P. Thompson

We develop a Magnetic Cluster Expansion (MCE) model for binary bcc and fcc Fe-Cr alloys, as well as for fcc Fe-Ni alloys, and apply it to the investigation of magnetic properties of these alloys over a broad interval of concentrations, and…

Materials Science · Physics 2015-06-17 M. Yu. Lavrentiev , D. Nguyen-Manh , J. Wrobel , S. L. Dudarev

The atomic cluster expansion (ACE) (Drautz, 2019) yields a highly efficient and intepretable parameterisation of symmetric polynomials that has achieved great success in modelling properties of many-particle systems. In the present work we…

Computational Physics · Physics 2023-05-05 Dexuan Zhou , Huajie Chen , Cheuk Hin Ho , Christoph Ortner

The atomic cluster expansion (ACE) was proposed recently as a new class of data-driven interatomic potentials with a formally complete basis set. Since the development of any interatomic potential requires a careful selection of training…

Materials Science · Physics 2022-12-20 Yury Lysogorskiy , Anton Bochkarev , Matous Mrovec , Ralf Drautz

Machine-learned interatomic potentials enable large systems to be simulated for long time scales at near ab-initio accuracy. This accuracy is achieved by fitting extremely flexible model architectures to high quality reference data. In…

Using the maximum entropy method, we derive the "adaptive cluster expansion" (ACE), which can be trained to estimate probability density functions in high dimensional spaces. The main advantage of ACE over other Bayesian networks is its…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stephen Luttrell

Metal-organic frameworks (MOFs) are highly interesting and tunable materials. By incorporating spatial defects into their atomic structure, MOFs can be finetuned to exhibit precise chemical functionalities, extending their applicability in…

Materials Science · Physics 2025-04-08 Pieter Dobbelaere , Sander Vandenhaute , Veronique Van Speybroeck