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This thesis report deals with the 1D Hubbard model and the quantum objects that diagonalize the normal ordered Hubbard hamiltonian, among those the so called PseudoFermions (PFs). These PFs have no residual energy interactions, are eta-spin…

强关联电子 · 物理学 2007-05-23 D Bozi

Multipole moments are the first order responses of the energy to spatial derivatives of the electric field strength. The quality of density functional theory (DFT) prediction of molecular multipole moments thus characterizes errors in…

化学物理 · 物理学 2021-02-23 Diptarka Hait , Yu Hsuan Liang , Martin Head-Gordon

We study the electron-energy loss spectra of strongly correlated electronic systems doped away from half-filling using dynamical mean-field theory ($d=\infty$). The formalism can be used to study the loss spectra in the optical (${\bf…

强关联电子 · 物理学 2009-10-31 Luis Craco , Mukul S. Laad

The electronic structure calculations based upon energy density functionals are highly successful and widely used both in solid state physics and quantum chemistry. Moreover, the Hohenberg-Kohn theorems and the Kohn-Sham method provide them…

材料科学 · 物理学 2009-11-13 Paola Gori-Giorgi , Andreas Savin

The Hohenberg-Kohn theorem plays a fundamental role in density functional theory, which has become a basic tool for the study of electronic structure of matter. In this article, we study the Hohenberg-Kohn theorem for a class of external…

化学物理 · 物理学 2017-09-22 Aihui Zhou

The exact form of the kinetic energy functional has remained elusive in orbital-free models of density functional theory (DFT). This has been the main stumbling block for the development of a general-purpose framework on this basis. Here,…

介观与纳米尺度物理 · 物理学 2020-01-06 Thomas Pope , Werner Hofer

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

材料科学 · 物理学 2007-05-23 Werner A. Hofer , Krisztian Palotas

Quantum mechanical methods based on the density functional theory (DFT) offer a realistic possibility of first-principles design of organic donor-acceptor systems and engineered band-gap materials. This promise is contingent upon the…

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review…

Due to a beneficial balance of computational cost and accuracy, real-time time-dependent density functional theory has emerged as a promising first-principles framework to describe electron real-time dynamics. Here we discuss recent…

Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, however, there is still a need for better approximations to the…

强关联电子 · 物理学 2009-09-22 S. Pittalis , E. Rasanen , E. K. U. Gross

We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

超导电性 · 物理学 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

Electronic states with fractional spins arise in systems with large static correlation (strongly correlated systems). Such fractional-spin states are shown to be ensembles of degenerate ground states with normal spins. It is proven here…

其他凝聚态物理 · 物理学 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

Spin-charge separation is known to be broken in many physically interesting one-dimensional (1D) and quasi-1D systems with spin-orbit interaction because of which spin and charge degrees of freedom are mixed in collective excitations. Mixed…

强关联电子 · 物理学 2017-11-27 Yasha Gindikin , Vladimir A. Sablikov

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

凝聚态物理 · 物理学 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

Fractional occupation numbers can produce open-shell degeneracy in density functional theory. We develop the corresponding perturbation theory by requiring that a differentiable map connects the initial and perturbed states. The degenerate…

材料科学 · 物理学 2016-07-22 Mark C. Palenik , Brett I. Dunlap

Open-system density functional theory may be formulated in terms of ensemble averages arising from interaction with a bath. The system is allowed to exchange particles with the bath and the states in the ensemble average are those…

材料科学 · 物理学 2007-05-23 Steven M. Valone

This paper derives and demonstrates a new, purely density-based ab initio approach for calculation of the energies and properties of many-electron systems. It is based upon the discovery of relationships that govern the "mechanics" of the…

化学物理 · 物理学 2024-09-04 James C. Ellenbogen

Time-dependent density-functional theory (TDDFT) is deemed to be a formally rigorous way of dealing with the time-evolution of a many-electron system at the level of electron densities rather than the underlying wavefunctions, which in turn…

化学物理 · 物理学 2024-11-26 Jochen Schirmer

We introduce an orbital free electron density functional approximation based on alchemical perturbation theory. Given convergent perturbations of a suitable reference system, the accuracy of popular self-consistent Kohn-Sham density…

化学物理 · 物理学 2020-05-27 Guido Falk von Rudorff , O. Anatole von Lilienfeld