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Quantum embedding is an appealing route to fragment a large interacting quantum system into several smaller auxiliary `cluster' problems to exploit the locality of the correlated physics. In this work we critically review approaches to…

Strongly Correlated Electrons · Physics 2023-07-19 Max Nusspickel , Basil Ibrahim , George H. Booth

A new scheme for constructing approximate effective electron potentials within density-functional theory is proposed. The scheme consists of calculating the effective potential for a series of reference systems, and then using these…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov

Multi-principal element alloys (MPEAs), also known as high-entropy alloys, have garnered significant interest across many applications due to their exceptional properties. Equilibrium vacancy concentrations in MPEAs influence diffusion and…

Materials Science · Physics 2026-03-26 Damien K. J. Lee , Yann L. Müller , Anirudh Raju Natarajan

In this paper we present a procedure to integrate, up to quadratures, the matching conditions of the energy shaping method. We do that in the context of underactuated Hamiltonian systems defined by simple Hamiltonian functions. For such…

Mathematical Physics · Physics 2018-10-02 Sergio D. Grillo , Leandro M. Salomone , Marcela Zuccalli

In recent years, efficient inter-atomic potentials approaching the accuracy of density functional theory (DFT) calculations have been developed using rigorous atomic descriptors satisfying strict invariances, for example, to translation,…

Materials Science · Physics 2018-09-18 Xiang-Guo Li , Chongze Hu , Chi Chen , Zhi Deng , Jian Luo , Shyue Ping Ong

High-entropy alloys, which exist in the high-dimensional composition space, provide enormous unique opportunities for realizing unprecedented structural and functional properties. A fundamental challenge, however, lies in how to predict the…

Materials Science · Physics 2021-05-20 Jie Qi , Andrew M. Cheung , S. Joseph Poon

This chapter discusses contemporary quantum chemical methods and provides general insights into modern electronic structure theory with a focus on heavy-element-containing compounds. We first give a short overview of relativistic…

Chemical Physics · Physics 2020-02-18 Aleksandra Leszczyk , Paweł Tecmer , Katharina Boguslawski

Machine learning (ML)-based interatomic potentials are currently garnering a lot of attention as they strive to achieve the accuracy of electronic structure methods at the computational cost of empirical potentials. Given their generic…

Computational Physics · Physics 2020-02-20 Mariia Karabin , Danny Perez

To further develop accurate and large-scale simulations of electrochemical interfaces, we propose a unified explicit electric potential framework to simultaneously predict atomic forces and electron density distributions. The framework…

Chemical Physics · Physics 2026-04-14 Jingwen Zhou , Yawen Yu , Xuwei Liu , Chungen Liu

In this chapter we focus first on the theoretical methods and relevant computational approaches to calculate the electronic structure of atoms, molecules, and clusters containing heavy elements for which relativistic effects become…

Chemical Physics · Physics 2021-10-05 Simone Taioli , Stefano Simonucci

The central approximation made in classical molecular dynamics simulation of materials is the interatomic potential used to calculate the forces on the atoms. Great effort and ingenuity is required to construct viable functional forms and…

Computational Physics · Physics 2019-06-26 Mitchell A. Wood , Mary Alice Cusentino , Brian D. Wirth , Aidan P. Thompson

In simulations of metallic interfaces, a critical aspect of metallic behavior is missing from the some of the most widely used classical molecular dynamics force fields. We present a modification of the embedded atom method (EAM) which…

Materials Science · Physics 2019-04-02 Hemanta Bhattarai , Kathie E. Newman , J. Daniel Gezelter

We study the convergence of a linear atomic cluster expansion (ACE) potential with respect to its basis functions, in terms of the effective two-body interactions of elemental Carbon and Silicon systems. We build ACE potentials with…

Computational Physics · Physics 2025-07-30 Apolinario Miguel Tan , Franco Pellegrini , Stefano de Gironcoli

Combining first-principles accuracy and empirical-potential efficiency for the description of the potential energy surface (PES) is the philosopher's stone for unraveling the nature of matter via atomistic simulation. This has been…

Materials Science · Physics 2021-07-07 Wanrun Jiang , Yuzhi Zhang , Linfeng Zhang , Han Wang

The current capacity of computers makes it possible to perform simulations of small systems with portable, explicit-solvent potentials achieving high degree of accuracy. However, simplified models must be employed to exploit the behaviour…

Biomolecules · Quantitative Biology 2015-06-18 R. Capelli , C. Paissoni , P. Sormanni , G. Tiana

We introduce the proper orthogonal descriptors for efficient and accurate interatomic potentials of multi-element chemical systems. The potential energy surface of a multi-element system is represented as a many-body expansion of…

Chemical Physics · Physics 2024-05-01 Ngoc-Cuong Nguyen

The generalized stacking fault energy is a key ingredient to mesoscale models of dislocations. Here we develop an approach to quantify the dependence of generalized stacking fault energies on the degree of chemical disorder in…

Materials Science · Physics 2020-01-22 Anirudh Raju Natarajan , Anton Van der Ven

We present a program called potfit which generates an effective atomic interaction potential by matching it to a set of reference data computed in first-principles calculations. It thus allows to perform large-scale atomistic simulations of…

Materials Science · Physics 2007-05-23 Peter Brommer , Franz Gähler

In recent years, many types of machine learning potentials (MLPs) have been introduced, which are able to represent high-dimensional potential-energy surfaces (PES) with close to first-principles accuracy. Most current MLPs rely on atomic…

Materials Science · Physics 2022-04-06 Marius Herbold , Jörg Behler

We present an ab-initio-based effective interaction model (EIM) for the study of magnetism, thermodynamics, and their interplay in body-centered cubic Fe-Co alloys, with Co content from 0 to 70%. The model includes explicitly both spin and…

Materials Science · Physics 2020-01-16 Van-Truong Tran , Chu-Chun Fu , Anton Schneider