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We have found a (dense) basis for the N-representable, two-electron densities, in which all N-representable two-electron densities can be expanded, using positive coefficients. The inverse problem of finding a representative wavefunction,…

强关联电子 · 物理学 2009-11-10 Mats-Erik Pistol

We propose to expand the territory of density functional theory to strongly correlated electrons by reformulating the Kohn-Sham scheme in the representation of fractionalized particles. We call it the ``KS* scheme.'' Using inhomogeneous…

计算物理 · 物理学 2025-04-08 Bo Zhao , Jingyu Zhao , Zheng Zhu , Jian Wu , Zheng Liu

The Hohenberg-Kohn theorem and the Kohn-Sham equations, which are at the basis of the Density Functional Theory, are reformulated in terms of a particular many-body density, which is translational invariant and therefore is relevant for…

核理论 · 物理学 2021-09-29 A. Kievsky , G. Orlandini , M. Gattobigio

We present a new theory for partitioning simulations of periodic and solid-state systems into physically sound atomic contributions at the level of Kohn-Sham density functional theory. Our theory is based on spatially localized linear…

化学物理 · 物理学 2024-10-01 Luna Zamok , Janus J. Eriksen

The quasiparticle self-consistent QS$GW$ approach incorporates the corrections of the quasiparticle energies from their Kohn-Sham density functional theory (DFT) eigenvalues by means of an energy independent and Hermitian self-energy matrix…

材料科学 · 物理学 2022-06-08 Ozan Dernek , Dmitry Skachkov , Walter R. L. Lambrecht , Mark van Schilfgaarde

The Hohenberg-Kohn theorem of density functional theory (DFT) for the case of electrons interacting with an external magnetic field (that couples to spin only) is examined in more detail than previously. A unexpected generalization is…

强关联电子 · 物理学 2009-10-31 H. Eschrig , W. E. Pickett

The decay rate of quasiparticles in quantum dots is studied through the real time calculation of the single-particle Green function in the self-consistent approximation. The method avoids exact diagonalization, transforming the problem into…

介观与纳米尺度物理 · 物理学 2009-11-07 Alejandro M. F. Rivas , Eduardo R. Mucciolo , Alex Kamenev

For some insulators we present a procedure to determine an electronic density leading to a lower energy than that of the Kohn-Sham ground state.

材料科学 · 物理学 2014-09-11 L. G. Ferreira , M. Marques , L. K. Teles , R. R. Pelá

The State--Specific Kohn--Sham Density Functional Theory [arXiv:physics/0506037] is used to derive the Kohn-Sham exchange-correlation potential $\vxc$ and exchange-correlation energy $\Eco$ as explicit functionals of $v_s$ and $\phi_1$,…

化学物理 · 物理学 2025-01-31 James P. Finley

In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

We apply reduced density-matrix functional theory to the parabolically confined quantum Hall droplet in the spin-frozen strong magnetic field regime. One-body reduced density matrix functional method performs remarkably well in obtaining…

介观与纳米尺度物理 · 物理学 2015-05-14 E. Tölö , A. Harju

We present a rigorous formulation of generalized Kohn-Sham density-functional theory. This provides a straightforward Kohn-Sham description of many-body systems based not only on particle-density but also on any other observable. We…

强关联电子 · 物理学 2008-02-03 M. Valiev , G. W. Fernando

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…

材料科学 · 物理学 2007-07-05 Paola Gori-Giorgi , Julien Toulouse , Andreas Savin

We treat a system (a molecule or a solid) in which electrons are coupled linearly to any number and type of harmonic oscillators and which is further subject to external forces of arbitrary symmetry. With the treatment restricted to the…

其他凝聚态物理 · 物理学 2009-11-10 Robert Englman , Asher Yahalom

Machine learning is employed to build an energy density functional for self-bound nuclear systems for the first time. By learning the kinetic energy as a functional of the nucleon density alone, a robust and accurate orbital-free density…

核理论 · 物理学 2022-03-21 X. H. Wu , Z. X. Ren , P. W. Zhao

In this work we establish a density-functional reformulation of coupled matter-photon problems subject to general external electromagnetic fields and charge currents. We first show that for static minimally-coupled matter-photon systems an…

量子物理 · 物理学 2017-08-07 M. Ruggenthaler

Density functional theory is discussed in the context of one-particle systems. We show that the ground state density $\rho_0(x)$ and energy $E_0$ are simply related to a family of external potential energy functions with ground state wave…

量子物理 · 物理学 2009-11-10 H. L. Neal

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

We calculate the energy spectrum of quasiparticles trapped by a domain wall separating different time reversal symmetry-breaking ground states in a hexagonal superconductor, such as UPt$_3$. The bound state energy is found to be strongly…

超导电性 · 物理学 2016-03-09 S. P. Mukherjee , K. V. Samokhin

A fermion ground state energy functional is set up in terms of particle density, relative pair density, and kinetic energy tensor density. It satisfies a minimum principle if constrained by a complete set of compatibility conditions. A…

化学物理 · 物理学 2009-10-17 Bin Liu , Jerome K. Percus