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We introduce an energy functional for ground-state electronic structure calculations. Its variables are the natural spin-orbitals of singlet many-body wave functions and their joint occupation probabilities deriving from controlled…

Chemical Physics · Physics 2016-12-04 Ralph Gebauer , Morrel H. Cohen , Roberto Car

This work studies machine learning for electron density prediction, which is fundamental for understanding chemical systems and density functional theory (DFT) simulations. To this end, we introduce the Gaussian plane-wave neural operator…

Chemical Physics · Physics 2024-06-14 Seongsu Kim , Sungsoo Ahn

The possibility to use functionals of occupation numbers and natural orbitals for interacting fermions is discussed as an alternative to multi-reference energy density functional method. An illustration based on the two-level Lipkin model…

Nuclear Theory · Physics 2015-05-13 Denis Lacroix

We present a new non-adiabatic ring polymer molecular dynamics (NRPMD) method based on the spin mapping formalism, which we refer to as the spin-mapping NRPMD (SM-NRPMD) approach. We derive the path-integral partition function expression…

Chemical Physics · Physics 2021-06-02 Duncan Bossion , Sutirtha N. Chowdhury , Pengfei Huo

Using the method of superbosonization we consider a model of a random magnetic field (RMF) acting on both orbital motion and spin of electrons in two dimensions. The method is based on exact integration over one particle degrees of freedom…

Disordered Systems and Neural Networks · Physics 2009-11-10 K. B. Efetov , V. R. Kogan

The quantum superposition principle has been extensively utilized in the quantum mechanical description of the bonding phenomenon. It explains the emergence of delocalized molecular orbitals and provides a recipe for the construction of…

The magnetic and electrical properties of nitrogen doped diamond system have been studied within the framework of a density functional theoretical approach. Spin-polarised calculations reveal that only the nitrogen doped system with…

Materials Science · Physics 2025-05-08 Homnath Luitel

Symmetry, where certain features remain invariant under geometric transformations, can often serve as a powerful prior in designing convolutional neural networks (CNNs). While conventional CNNs inherently support translational equivariance,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Yuexi Du , Jiazhen Zhang , Nicha C. Dvornek , John A. Onofrey

In the recent work of S. Sharma \emph{et al.}, (arxiv.org: arxiv:0912.1118), a single-electron spectrum associated with the natural orbitals was defined as the derivative of the total energy with respect to the occupation numbers at half…

Chemical Physics · Physics 2012-03-07 E. N. Zarkadoula , S. Sharma , J. K. Dewhurst , E. K. U. Gross , N. N. Lathiotakis

The debate whether uranium 5f electrons are closer to being localized or itinerant in the ferromagnetic compound UGa2 is not yet fully settled. The experimentally determined magnetic moments are large, approximately 3 Bohr magnetons,…

Strongly Correlated Electrons · Physics 2021-07-14 Banhi Chatterjee , Jindrich Kolorenc

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

The extension of the highly-optimized local natural orbital (LNO) CCSD(T) method is presented for high-spin open-shell molecules. The techniques enabling the outstanding efficiency of the closed-shell LNO-CCSD(T) variant are adopted,…

Chemical Physics · Physics 2023-11-17 P. Bernát Szabó , József Csóka , Mihály Kállay , Péter R. Nagy

The main source of reduced nitrogen for living things comes from nitrogenase, which converts N2 to NH3 at the FeMo-cofactor (FeMo-co). Because of its role in supporting life, the uncertainty surrounding the catalytic cycle, and its…

Chemical Physics · Physics 2026-01-09 Huanchen Zhai , Chenghan Li , Xing Zhang , Zhendong Li , Seunghoon Lee , Garnet Kin-Lic Chan

Correlated electron molecular orbital (CEMO) materials host emergent electronic states built from molecular orbitals localized over clusters of transition metal ions, yet have historically been discovered sporadically and generally been…

Materials Science · Physics 2026-01-09 Md. Rajbanul Akhond , Alexandru B. Georgescu

In heavy-fermion compounds, the dual character of $f$ electrons underlies their rich and often exotic properties like fragile heavy quasipartilces, variety of magnetic orders and unconventional superconductivity. 5$f$-electron actinide…

Strongly Correlated Electrons · Physics 2019-09-13 Q. Y. Chen , X. B. Luo , D. H. Xie , M. L. Li , X. Y. Ji , R. Zhou , Y. B. Huang , W. Zhang , W. Feng , Y. Zhang , X. G. Zhu , Q. Q. Hao , Q. Liu , L. Huang , P. Zhang , X. C. Lai , Q. Si , S. Y. Tan

The account of electron correlation and its efficient separation into dynamic and nondynamic parts plays a key role in the development of computational methods. In this paper we suggest a physically-sound matrix formulation to split…

Chemical Physics · Physics 2016-08-16 Eloy Ramos-Cordoba , Pedro Salvador , Eduard Matito

Organometallic clusters based on transition metal atoms are interesting because possible applications in spintronics and quantum information. In addition to the enhanced magnetism at the nanoscale, the organic ligands may provide a natural…

Chemical Physics · Physics 2017-06-12 J. W. González , T. Alonso-Lanza , F. Delgado , F. Aguilera-Granja , A. Ayuela

Orbital-free density functional theory (OFDFT) offers a challenging way of electronic-structure calculations scaled as $\mathcal{O}(N)$ computation for system size $N$. We here develop a scheme of the OFDFT calculations based on the…

Computational Physics · Physics 2021-09-06 Fumihiro Imoto , Masatoshi Imada , Atsushi Oshiyama

Natural orbital theory is a computationally useful approach to the few and many-body quantum problem. While natural orbitals are known and applied since many years in electronic structure applications, their potential for time-dependent…

Atomic Physics · Physics 2014-10-08 J. Rapp , M. Brics , D. Bauer

We report a first-principles study of the electronic structure of functionalized graphene nano-ribbon (aGNRs-f) by organic functional group (CH2C6H5) and find that CH2C6H5 functionalized group does not produce any electronic states in the…

Materials Science · Physics 2013-05-24 Nuo Liu , Zheqi Zheng , Yongxin Yao , Guiping Zhang , Ning Lu , Pingjian Li , Caizhuang Wang , Kaiming Ho