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Learning from data has led to a paradigm shift in computational materials science. In particular, it has been shown that neural networks can learn the potential energy surface and interatomic forces through examples, thus bypassing the…

Strongly Correlated Electrons · Physics 2019-02-18 Jianhua Ma , Puhan Zhang , Yaohua Tan , Avik W. Ghosh , Gia-Wei Chern

The combination of modern scientific computing with electronic structure theory can lead to an unprecedented amount of data amenable to intelligent data analysis for the identification of meaningful, novel, and predictive structure-property…

Momentum dependent local-ansatz wavefunction approach (MLA) to the correlated electron systems in solids has been further developed to solve best a self-consistent equation for variational parameters at non half-filling. With use of the…

Strongly Correlated Electrons · Physics 2015-05-30 M. Atiqur R. Patoary , Yoshiro Kakehashi

We present a scalable machine learning (ML) framework for predicting intensive properties and particularly classifying phases of many-body systems. Scalability and transferability are central to the unprecedented computational efficiency of…

Statistical Mechanics · Physics 2024-06-18 Zhongzheng Tian , Sheng Zhang , Gia-Wei Chern

We present a machine learning (ML) method for predicting electronic structure correlation energies using Hartree-Fock input.The total correlation energy is expressed in terms of individual and pair contributions from occupied molecular…

Chemical Physics · Physics 2018-10-16 Matthew Welborn , Lixue Cheng , Thomas F. Miller

Electronic nearsightedness is one of the fundamental principles governing the behavior of condensed matter and supporting its description in terms of local entities such as chemical bonds. Locality also underlies the tremendous success of…

Computational Physics · Physics 2020-09-01 Andrea Grisafi , Jigyasa Nigam , Michele Ceriotti

Metallic spin glass systems, such as dilute magnetic alloys, are characterized by randomly distributed local moments coupled to each other through a long-range electron-mediated effective interaction. We present a scalable machine learning…

Disordered Systems and Neural Networks · Physics 2023-11-29 Menglin Shi , Sheng Zhang , Gia-Wei Chern

We outline the general framework of machine learning (ML) methods for multi-scale dynamical modeling of condensed matter systems, and in particular of strongly correlated electron models. Complex spatial temporal behaviors in these systems…

Strongly Correlated Electrons · Physics 2022-01-06 Puhan Zhang , Sheng Zhang , Gia-Wei Chern

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearest-neighbors hopping. The half-filled band is analyzed…

Strongly Correlated Electrons · Physics 2009-11-13 D. O. Maionchi , A. M. C. Souza , H. J. Herrmann , R. N. da Costa Filho

The disordered many-body systems can undergo a transition from the extended ensemble to a localized ensemble, known as many-body localization (MBL), which has been intensively explored in recent years. Nevertheless, the relation between…

Disordered Systems and Neural Networks · Physics 2019-10-17 Hong-Ze Xu , Shun-Yao Zhang , Ze-Yu Rao , Zhengwei Zhou , Guang-Can Guo , Ming Gong

We present a new embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yi Zhang , Hanna Terletska , Ka-Ming Tam , Yang Wang , Markus Eisenbach , Liviu Chioncel , Mark Jarrell

Density functional theory is the standard theory for computing the electronic structure of materials, which is based on a functional that maps the electron density to the energy. However, a rigorous form of the functional is not known and…

Materials Science · Physics 2021-12-02 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

We present a response-augmented machine learning (ML) approach to the energetics of electrified metal surfaces. We leverage local descriptors to learn the work function as the first-order energy change to introduced bias charges and…

Materials Science · Physics 2025-05-27 Nicolas Bergmann , Nicéphore Bonnet , Nicola Marzari , Karsten Reuter , Nicolas G. Hörmann

The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz wavefunction (MLA). It is…

Strongly Correlated Electrons · Physics 2015-06-22 Yoshiro Kakehashi , Sumal Chandra , Derwyn Rowlands , M. Atiqur R. Patoary

Machine learning (ML) strategies are opening the door to faster computer simulations, allowing us to simulate more realistic colloidal systems. Since the interactions in colloidal systems are often highly many-body, stemming from e.g.…

Soft Condensed Matter · Physics 2026-01-09 Rinske M. Alkemade , Rastko Sknepnek , Frank Smallenburg , Laura Filion

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

Data-driven techniques are increasingly used to replace electronic-structure calculations of matter. In this context, a relevant question is whether machine learning (ML) should be applied directly to predict the desired properties or be…

Spherically-symmetric atom-centered descriptors of atomic environments have been widely used for constructing potential or free energy surfaces of atomistic and colloidal systems and to characterize local structures using machine learning…

Soft Condensed Matter · Physics 2022-07-27 Gerardo Campos-Villalobos , Giuliana Giunta , Susana Marín-Aguilar , Marjolein Dijkstra

The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fr\"ohlich model encompassing the lowest-order lattice-electron coupling. Recently developed quantum…

Strongly Correlated Electrons · Physics 2024-07-02 Yoel Zimmermann , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller

The localization lengths of long-range correlated disordered chains are studied for electronic wavefunctions in the Anderson model and for vibrational states. A scaling theory close to the band edge is developed in the Anderson model and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Stefanie Russ
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