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A ubiquitous approach to obtain transferable machine learning-based models of potential energy surfaces for atomistic systems is to decompose the total energy into a sum of local atom-centred contributions. However, in many systems…

Computational Physics · Physics 2024-06-18 Jack Thomas , William J. Baldwin , Gábor Csányi , Christoph Ortner

Twisted multilayer graphene, characterized by its moir\'e patterns arising from inter-layer rotational misalignment, serves as a rich platform for exploring quantum phenomena. Machine learning interatomic potentials (MLIPs) are a promising…

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 have been examining factors determining the accuracy of cluster expansion (CE), which is used in combination with many density functional theory (DFT) calculations. With the exception of multicomponent metallic or isovalent ionic…

Materials Science · Physics 2014-02-07 Atsuto Seko , Isao Tanaka

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

In recent years, significant progress has been made in the development of machine learning potentials (MLPs) for atomistic simulations with applications in many fields from chemistry to materials science. While most current MLPs are based…

Chemical Physics · Physics 2023-05-19 Tsz Wai Ko , Jonas A. Finkler , Stefan Goedecker , Jörg Behler

We present a highly accurate and transferable parameterization of water using the atomic cluster expansion (ACE). To efficiently sample liquid water, we propose a novel approach that involves sampling static calculations of various ice…

Materials Science · Physics 2024-06-21 Eslam Ibrahim , Yury Lysogorskiy , Ralf Drautz

Long-range electrostatics and polarization remain central obstacles to extending machine learning interatomic potentials (MLIPs) to ionic, polar, and interfacial systems. Here, we introduce a semi-local framework for learning electrostatics…

Materials Science · Physics 2026-05-08 Dongjin Kim , Daniel S. King , Yoonjae Park , Roya Savoj , Sebastien Hamel , Xiaoyu Wang , Bingqing Cheng

Machine learning interatomic potentials (MLIPs) provide an effective approach for accurately and efficiently modeling atomic interactions, expanding the capabilities of atomistic simulations to complex systems. However, a priori feature…

Computational Physics · Physics 2026-04-22 Tina Torabi , Matthias Militzer , Michael P. Friedlander , Christoph Ortner

Density functional theory (DFT)-based simulations of materials have first-principles accuracy, but are very computationally expensive. For simulating various properties of multi-component alloys, the cluster expansion (CE) technique has…

Materials Science · Physics 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

An approximate but straight forward projection method to molecular many alpha-particle states is proposed and the overlap to the shell model space is determined. The resulting space is in accordance with the shell model, but still contains…

Nuclear Theory · Physics 2021-10-13 J. R. M. Berriel-Aguayo , P. O. Hess

Foundational machine learning interatomic potentials that can accurately and efficiently model a vast range of materials are critical for accelerating atomistic discovery. We introduce universal potentials based on the graph atomic cluster…

Materials Science · Physics 2026-01-06 Yury Lysogorskiy , Anton Bochkarev , Ralf Drautz

We develop a semiclassical theory for the long range excitation of plasmon resonances in atomic clusters, based on the doorway hypothesis. The effect of the width of the plasmon resonance is fully taken into account. As an application we…

Condensed Matter · Physics 2019-08-17 M. S. Hussein , V. Kharchenko , L. F. Canto , R. Donangelo

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

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

One essential ingredient in many machine learning (ML) based methods for atomistic modeling of materials and molecules is the use of locality. While allowing better system-size scaling, this systematically neglects long-range (LR) effects,…

Chemical Physics · Physics 2023-10-05 Kevin K. Huguenin-Dumittan , Philip Loche , Ni Haoran , Michele Ceriotti

The force field describing the calculated interaction between atoms or molecules is the key to the accuracy of many molecular dynamics (MD) simulation results. Compared with traditional or semi-empirical force fields, machine learning force…

Computational Physics · Physics 2023-06-28 Yongle Li , Feng Xu , Long Hou , Luchao Sun , Haijun Su , Xi Li , Wei Ren

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

Multipole electron modes beyond the Mie plasmon in atomic clusters are investigated within the time-dependent local density approximation theory (TDLDA). We consider the origin of the modes, their connection with basic cluster properties…

Atomic and Molecular Clusters · Physics 2014-02-04 V. O. Nesterenko , P. -G. Reinhard , W. Kleinig

A central problem in many-body quantum physics is the determination of the ground state of a thermodynamically large physical system. We construct a cluster expansion for ground states of local Hamiltonians, which naturally incorporates…

Statistical Mechanics · Physics 2016-07-29 Alvise Bastianello , Spyros Sotiriadis