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Can a large system be fully characterized using its subsystems via inductive reasoning? Is it possible to completely reduce the behavior of a complex system to the behavior of its simplest "atoms"? In the following paper we answer these…

Quantum Physics · Physics 2018-11-19 Yakir Aharonov , Eliahu Cohen , Jeff Tollaksen

A new electronic structure principle, viz. the minimum magnetizability principle (MMP) has been proposed and also has been verified through ab initio calculations, to extend the domain of applicability of the conceptual density functional…

Chemical Physics · Physics 2009-11-11 Akhilesh Tanwar , Debesh Ranjan Roy , Sourav Pal , Pratim Kumar Chattaraj

Exploration of structure-property relationships as a function of dopant concentration is commonly based on mean field theories for solid solutions. However, such theories that work well for semiconductors tend to fail in materials with…

The structural properties of additive binary hard-sphere mixtures are addressed as a follow-up of a previous paper [S. Pieprzyk et al., Phys. Rev. E 101, 012117 (2020)]. The so-called rational-function approximation method and an approach…

We apply to a liquid of linear molecules the semischematic mode-coupling model, previously introduced to describe the center of mass (COM) slow dynamics of a network-forming molecular liquid. We compare the theoretical predictions and…

Soft Condensed Matter · Physics 2009-10-31 Linda Fabbian , Rolf Schilling , Francesco Sciortino , Piero Tartaglia , Christoph Theis

A classical density functional theory is applied to study solvation of solutes in water. An approx- imate form of the excess functional is proposed for water. This functional requires the knowledge of pure solvent direct correlation…

Chemical Physics · Physics 2014-09-01 Guillaume Jeanmairet

The multi-component density functional theory is faced with the challenge of capturing various types of inter- and intra-particle exchange-correlation effects beyond those introduced by the conventional electronic exchange-correlation…

Atomic and Molecular Clusters · Physics 2023-12-27 Nahid Sadat Riyahi , Mohammad Goli , Shant Shahbazian

Electron density distribution plays an essential role in predicting molecular properties. It is also a simple observable from which machine-learning models for molecular electronic structure can be derived. In the present work, we present…

Chemical Physics · Physics 2022-04-01 Lan Nguyen Tran

Density matrix embedding theory (Phys. Rev. Lett. 109, 186404 (2012)) and density embedding theory ((Phys. Rev. B 89, 035140 (2014)) have recently been introduced for model lattice Hamiltonians and molecular systems. In the present work,…

Chemical Physics · Physics 2016-11-25 Ireneusz W. Bulik , Weibing Chen , Gustavo E. Scuseria

We develop a computational method to learn a molecular Hamiltonian matrix from matrix-valued time series of the electron density. As we demonstrate for three small molecules, the resulting Hamiltonians can be used for electron density…

Computational Physics · Physics 2020-09-01 Harish S. Bhat , Karnamohit Ranka , Christine M. Isborn

In this paper, we propose new semiparametric procedures for making inference on linear functionals and their functions of two semicontinuous populations. The distribution of each population is usually characterized by a mixture of a…

Methodology · Statistics 2020-12-21 Meng Yuan , Chunlin Wang , Boxi Lin , Pengfei Li

The construction of density-functional approximations is explored by modeling the adiabatic connection em locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models…

Chemical Physics · Physics 2016-05-04 Stefan Vuckovic , Tom Irons , Andreas Savin , Andrew M. Teale , Paola Gori-Giorgi

The quantitative description of correlated electron materials remains a modern computational challenge. We demonstrate a numerical strategy to simulate correlated materials at the fully ab initio level beyond the solution of effective…

Superconductivity · Physics 2022-09-19 Zhi-Hao Cui , Huanchen Zhai , Xing Zhang , Garnet Kin-Lic Chan

A proper theoretical description of electronic structure of the 3d orbitals in the metal centers of functional metalorganics is a challenging problem. In this letter, we apply density functional theory and an exact diagonalization method in…

Quantum chemistry provides chemists with invaluable information, but the high computational cost limits the size and type of systems that can be studied. Machine learning (ML) has emerged as a means to dramatically lower cost while…

Chemical Physics · Physics 2023-01-11 Frank Hu , Francis He , David J. Yaron

In this paper, we investigate the energy minimization model of the ensemble Kohn-Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing approach are involved. We study the invariance…

Numerical Analysis · Mathematics 2022-01-19 Xiaoying Dai , Stefano de Gironcoli , Bin Yang , Aihui Zhou

It is known that homogeneous distribution of particles in Coulomb-like systems can be unstable, and spatially inhomogeneous structures can be formed. A simple method for describing such inhomogeneous systems and obtaining spacial…

Statistical Mechanics · Physics 2015-06-16 B. I. Lev , V. P. Ostroukh , V. B. Tymchyshyn , A. G. Zagorodny

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

The formalism of Kohn and Sham uses a specific (model) hamiltonian which highly simplifies the many-electron problem to that of noninteracting fermions. The theorem of Hohenberg and Kohn tells us that, for a given ground state density, this…

Materials Science · Physics 2007-07-05 Paola Gori-Giorgi , Julien Toulouse , Andreas Savin

Correspondences between the Thomson Problem and atomic electron shell-filling patterns are observed as systematic non-uniformities in the distribution of potential energy necessary to change configurations of $N\le 100$ electrons into…

Classical Physics · Physics 2014-03-12 Tim LaFave