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We show how to construct Landau-like free energy potentials using a machine-learning approach. For concreteness, we focus on perovskite oxide PbTiO$_{3}$. We work with a training set obtained from Monte Carlo simulations based on an…

Materials Science · Physics 2025-08-01 Mauro Pulzone , Natalya S. Fedorova , Hugo Aramberri , Jorge Íñiguez-González

A second-principles effective interatomic potential is introduced for the prototypical perovskite CaTiO$_3$ (CTO), relying on a Taylor polynomial expansion of the Born-Oppenheimer energy surface around the cubic reference structure, in…

Materials Science · Physics 2025-12-04 Huazhang Zhang , Michael Marcus Schmitt , Louis Bastogne , Xu He , Philippe Ghosez

The discovery of ferroelectricity in HfO$_2$-based thin films opens up new opportunities for using this silicon-compatible ferroelectric to realize low-power logic circuits and high-density non-volatile memories. The functional performances…

Materials Science · Physics 2021-02-03 Jing Wu , Yuzhi Zhang , Linfeng Zhang , Shi Liu

We identify a new "order parameter" for the disorder driven many-body localization (MBL) transition by leveraging artificial intelligence. This allows us to pin down the transition, as the point at which the physics changes qualitatively,…

Quantum Physics · Physics 2019-11-19 Patrick Huembeli , Alexandre Dauphin , Peter Wittek , Christian Gogolin

We present a machine-learning strategy for finite element analysis of solid mechanics wherein we replace complex portions of a computational domain with a data-driven surrogate. In the proposed strategy, we decompose a computational domain…

Numerical Analysis · Mathematics 2023-10-24 Eric Parish , Payton Lindsay , Timothy Shelton , John Mersch

Potassium niobate (KNbO3) is a prototypical perovskite ferroelectric with large electro-optic and nonlinear optical responses, high optical damage thresholds and a rich sequence of temperature-driven phase transformations, making it a…

Materials Science · Physics 2026-01-27 Aiden Ross , Venkatraman Gopalan , Long-Qing Chen

A realistic theory of the quantum paraelectric - ferroelectric transition is presented, involving parameters determined from band calculations and a renormalization group treatment of critical fluctuations. The effects of reduced…

Strongly Correlated Electrons · Physics 2007-05-23 R. Roussev , A. J. Millis

Using data obtained from first-principles calculations, we show that the position of the morphotropic phase boundary (MPB) and transition temperature at MPB in ferroelectric perovskite solutions can be predicted with quantitative accuracy…

Materials Science · Physics 2009-11-11 Ilya Grinberg , Matthew R. Suchomel , P. K. Davies , Andrew M. Rappe

Machine learning techniques such as artificial neural networks are currently revolutionizing many technological areas and have also proven successful in quantum physics applications. Here we employ an artificial neural network and deep…

The prototypical antiferroelectric perovskite $\rm PbZrO_3$ (PZO) has garnered considerable attentions in recent years due to its significance in technological applications and fundamental research. Many unresolved issues in PZO are…

Materials Science · Physics 2025-11-18 Huazhang Zhang , Hao-Cheng Thong , Louis Bastogne , Churen Gui , Xu He , Philippe Ghosez

Layers of perovskites, found in 3D materials, 2D heterostructures, and nanotubes, often distort from high symmetry to facilitate dipole polarisation that is exploitable in many applications. Using density-functional theory calculations,…

Materials Science · Physics 2025-11-14 Shaowen Xu , Jeffrey R. Reimers , Fanhao Jia , Wei Ren

Neural networks can be used to identify phases and phase transitions in condensed matter systems via supervised machine learning. Readily programmable through modern software libraries, we show that a standard feed-forward neural network…

Strongly Correlated Electrons · Physics 2017-05-24 Juan Carrasquilla , Roger G. Melko

We search for new superhard B-N-O compounds with an iterative machine learning (ML) procedure, where ML models are trained using sample crystal structures from evolutionary algorithm. We first use cohesive energy to evaluate the…

Materials Science · Physics 2022-06-22 Wei-Chih Chen , Yogesh K. Vohra , Cheng-Chien Chen

Extreme mechanical processes such as strong lattice distortion and bond breakage during fracture are ubiquitous in nature and engineering, which often lead to catastrophic failure of structures. However, understanding the nucleation and…

Materials Science · Physics 2024-07-23 Pengjie Shi , Zhiping Xu

In this research, atomistic molecular dynamics simulations are combined with mesoscopic phase-field computational methods in order to investigate phase-transformation in polycrystalline Aluminum microstructure. In fact, microstructural…

Materials Science · Physics 2019-07-03 Mehrdad Yousefi

Recent experimental results demonstrate that in thin films ferroelectricity persists down to film thickness of a few unit cells. This finding opens an avenue for novel electronic devices based on ultathin ferroelectrics, but also raises…

Materials Science · Physics 2015-06-25 Chun-Gang Duan , Renat F. Sabirianov , Wai-Ning Mei , Sitaram S. Jaswal , Evgeny Y. Tsymbal

Machine learning has enabled the prediction of quantum chemical properties with high accuracy and efficiency, allowing to bypass computationally costly ab initio calculations. Instead of training on a fixed set of properties, more recent…

Understanding material surfaces and interfaces is vital in applications like catalysis or electronics. By combining energies from electronic structure with statistical mechanics, ab initio simulations can in principle predict the structure…

Over the past years, machine learning has emerged as a powerful computational tool to tackle complex problems over a broad range of scientific disciplines. In particular, artificial neural networks have been successfully deployed to…

Quantum Physics · Physics 2021-01-28 Juan Carrasquilla , Giacomo Torlai

We develop a machine-learning method for coarse-graining condensed-phase molecular systems using anisotropic particles. The method extends currently available high-dimensional neural network potentials by addressing molecular anisotropy. We…

Statistical Mechanics · Physics 2023-07-12 Marltan O. Wilson , David M. Huang
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