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We present a study of spin-unpolarized and spin-polarized two-dimensional uniform electron liquids using variational and diffusion quantum Monte Carlo (VMC and DMC) methods with Slater-Jastrow-backflow trial wave functions. Ground-state VMC…

强关联电子 · 物理学 2025-11-11 Sam Azadi , N. D. Drummond , S. M. Vinko

The electron density, its gradient, and the Kohn-Sham orbital kinetic energy density are the local ingredients of a meta-generalized gradient approximation (meta-GGA). We construct a meta-GGA density functional for the exchange-correlation…

材料科学 · 物理学 2009-02-20 Jianmin Tao , John P. Perdew , Viktor N. Staroverov , Gustavo E. Scuseria

Ensemble Density Functional Theory (EDFT) is a generalization of ground-state Density Functional Theory (GS DFT), which is based on an exact formal theory of finite collections of a system's ground and excited states. EDFT in various forms…

材料科学 · 物理学 2024-08-27 Remi J. Leano , Aurora Pribram-Jones , David A. Strubbe

GW approximation is one of the most popular parameter-free many-body methods that goes beyond the limitations of the standard density functional theory (DFT) to determine the excitation spectra for moderately correlated materials and in…

材料科学 · 物理学 2023-12-12 Kristjan Haule , Subhasish Mandal

The matrix elements of the electromagnetic current and the energy-momentum tensor for sharply localized states of spin-1 systems are considered. Their interpretation as local spatial densities of various characteristics of the considered…

高能物理 - 唯象学 · 物理学 2023-08-16 J. Yu. Panteleeva , E. Epelbaum , J. Gegelia , U. -G. Meißner

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

介观与纳米尺度物理 · 物理学 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

For the first time, the cumulant 2-body reduced density matrix (= 2-matrix) of the spin-unpolarized homogeneous electron gas (HEG) is considered. This $\gamma_{\rm c}$ proves to be the common source for both the momentum distribution $n(k)$…

强关联电子 · 物理学 2012-03-28 P. Ziesche

The recently derived Fourier--Matsubara expansion of imaginary--time correlation functions comprises an exact result of linear response theory for finite-temperature quantum many-body systems. In its density--density version, the expansion…

等离子体物理 · 物理学 2025-09-24 Panagiotis Tolias , Fotios Kalkavouras , Tobias Dornheim , Federico Lucco Castello

We report the first use of the effective QMC energy density functional (EDF), derived from a quark model of hadron structure, to study a broad range of ground state properties of even-even nuclei across the periodic table in the…

核理论 · 物理学 2016-03-23 J. R. Stone , P. A. M. Guichon , P. G. Reinhard , A. W. Thomas

We investigate the accuracies of different coupled cluster levels in a finite model solid, the 14 electron spin-non-polarised uniform electron gas. For densities between $\mathrm{r}_\mathrm{s}$ = 0.5 $\mathrm{a}_\mathrm{0}$ and…

化学物理 · 物理学 2018-03-28 Verena A. Neufeld , Alex J. W. Thom

We present the first quasi-exact \textit{ab initio} path integral Monte Carlo (PIMC) results for the dynamic local field correction $\widetilde{G}(\mathbf{q},z_l;r_s,\Theta)$ in the imaginary Matsubara frequency domain, focusing on the…

强关联电子 · 物理学 2024-05-15 Tobias Dornheim , Panagiotis Tolias , Fotios Kalkavouras , Zhandos Moldabekov , Jan Vorberger

The uniform electron gas at finite temperature is of high current interest for warm dense matter research. The complicated interplay of quantum degeneracy and Coulomb coupling effects is fully contained in the pair distribution function or,…

等离子体物理 · 物理学 2018-02-09 Tobias Dornheim , Simon Groth , Michael Bonitz

We study the spin and charge fluctuations of the extended Hubbard model (EHM) with on-site interaction U and first neighbor interaction V on the two-dimensional square lattice in the weak to intermediate coupling regime. We propose an…

强关联电子 · 物理学 2009-11-13 B. Davoudi , A. -M. S. Tremblay

The extensive control of spin makes spintronics a promising candidate for future scalable quantum devices. For the generation of spin-superfluid systems, a detailed understanding of the build-up of coherence and relaxation is necessary.…

Two of the most influential ideas developed by Richard Feynman are the Feynman diagram technique and his variational approach. The former provides a powerful tool to construct a systematic expansion for a generic interacting system, while…

材料科学 · 物理学 2019-05-15 Kun Chen , Kristjan Haule

In recent years Quantum Monte Carlo techniques provided to be a valuable tool to study strongly interacting Fermi gases at zero temperature. We have used QMC methods to investigate several properties of the two-components Fermi gas at…

量子气体 · 物理学 2015-06-18 Stefano Gandolfi

Finding microscopic models for metallic states that exhibit quantum critical properties such as $\omega/T$ scaling is a major theoretical challenge. We calculate the local dynamical spin susceptibility $\chi(T,\omega)$ for a Hubbard model…

强关联电子 · 物理学 2017-04-07 Nagamalleswararao Dasari , N. S. Vidhyadhiraja , Mark Jarrell , Ross H. McKenzie

We extend our ensemble density functional approach to quantum Hall systems to include non-collinear spins to study charge-spin textures in inhomogeneous quantum Hall systems. We have studied the edge reconstruction in quantum dots at unit…

介观与纳米尺度物理 · 物理学 2007-05-23 O. Heinonen , J. M. Kinaret , M. D. Johnson

Under a certain scaling, the electron densities of finite systems become both large and slowly-varying, so that the gradient expansions of the density functionals for the Kohn-Sham kinetic and exchange energies become asymptotically exact…

量子物理 · 物理学 2009-11-13 John P. Perdew , Lucian A. Constantin , Espen Sagvolden , Kieron Burke

We present an analytic theory of the spin-resolved pair distribution functions $g_{\sigma\sigma'}(r)$ and the ground-state energy of an electron gas with an arbitrary degree of spin polarization. We first use the Hohenberg-Kohn variational…

强关联电子 · 物理学 2009-11-10 B. Davoudi , R. Asgari , M. Polini , M. P. Tosi