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We study the ground-state properties of ferromagnetic quasi-one-dimensional quantum wires using the quantum Monte Carlo (QMC) method for various wire widths $b$ and density parameters $r_\text{s}$. The correlation energy, pair-correlation…

Strongly Correlated Electrons · Physics 2025-12-24 Ankush Girdhar , Vinod Ashokan , N. D. Drummond , Klaus Morawetz , K. N. Pathak

The correlation energy per electron in the high-density uniform electron gas can be written as $\Ec(r_s,\zeta) = \lam_0(\zeta) \ln r_s + \eps_0(\zeta) + \lam_1(\zeta) \,r_s \ln r_s + O(r_s)$, where $r_s$ is the Seitz radius and $\zeta$ is…

Strongly Correlated Electrons · Physics 2011-08-08 Pierre-François Loos , Peter M. W. Gill

We obtain an exact solution of the time-dependent Schroedinger equation for a two-electron system confined to a plane by an isotropic parabolic potential whose curvature is periodically modulated in time. From this solution we compute the…

Condensed Matter · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

We investigate the numerical behavior of the Eliashberg equations for phonon-mediated superconductivity, incorporating normal-state self-energy calculations within the consistent $GW_{0}$ approximation. We account for the full wavenumber…

Superconductivity · Physics 2026-01-28 Ryosuke Akashi , Hiroshi Shinaoka

The spin Coulomb drag effect, arising from the exchange of momentum between electrons of opposite spins, plays a crucial role in the spin transport of interacting electron systems and can be characterized by the exchange-correlation (XC)…

Strongly Correlated Electrons · Physics 2025-04-25 Zhiyi Li , Pengcheng Hou , Youjin Deng , Kun Chen

In this work we continue and extend our recent work on the correlation energy of the quantized electron gas of uniform density at temperature $T=0$. As before we utilize the methods, properties, and results obtained by means of classical…

Statistical Mechanics · Physics 2017-10-11 Enrique Lomba , Johan S. Høye

We calculate the short-range exchange-correlation energy of the uniform electron gas with two modified electron-electron interactions. While the short-range exchange functionals are calculated analytically, Coupled-Cluster and…

Materials Science · Physics 2016-08-16 Julien Toulouse , Andreas Savin , Heinz-Jürgen Flad

In this work the multistream quasiparticle model of collective electron excitations is used to study the energy-density distribution of collective quantum excitations in an interacting electron gas with arbitrary degree of degeneracy.…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 M. Akbari-Moghanjoughi

The exchange and correlation $E_{xc}$ of strongly correlated electrons in 2D layers of finite width are studied as a function of the density parameter $r_s$, spin-polarization $\zeta$ and the temperature $T$. We explicitly treat…

Strongly Correlated Electrons · Physics 2009-11-11 M. W. C. Dharma-wardana

Based on the time-dependent density-functional theory, we have derived a rigorous formula for the stopping power of an {\it interacting} electron gas for ions in the limit of low projectile velocities. If dynamical correlation between…

Materials Science · Physics 2009-11-11 V. U. Nazarov , J. M. Pitarke , C. S. Kim , Y. Takada

We investigate the low density limit of the Homogeneous Electron system, often called the {\it Strictly Correlated} regime. We begin with a systematic presentation of the expansion around infinite $r_S$, based on the first quantized…

Strongly Correlated Electrons · Physics 2021-01-05 Tom Banks , Bingnan Zhang

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

Materials Science · Physics 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

We propose a spatially and temporally nonlocal exchange-correlation (xc) kernel for the spin-unpolarized fluid phase of ground-state jellium, for use in time-dependent density functional and linear response calculations. The kernel is…

Materials Science · Physics 2022-02-02 Aaron D. Kaplan , Niraj K. Nepal , Adrienn Ruzsinszky , Pietro Ballone , John P. Perdew

Frequency dependent exchange correlation kernels for time-dependent density functional theory can be used to construct approximate exchange-correlation potentials. The resulting potentials are usually not translationally covariant nor do…

Strongly Correlated Electrons · Physics 2009-11-13 Yair Kurzweil , Roi Baer

The energy spectrum of the conduction band in HgTe/Cd$_x$Hg$_{1-x}$Te quantum wells of a width $d=(4.6-20.2)$ nm has been experimentally studied in a wide range of electron density. For this purpose, the electron density dependence of the…

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

Strongly Correlated Electrons · Physics 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

Specific matrix elements of exchange and correlation kernels in time-dependent density-functional theory are computed. The knowledge of these matrix elements not only constraints approximate time-dependent functionals, but also allows to…

Materials Science · Physics 2009-10-31 X. Gonze , M. Scheffler

Self-consistent calculations of the energy-loss spectra of charged particles moving near a plane-bounded free electron gas are reported. Energy-loss probabilities are obtained, within linear-response theory, from the knowledge of the…

Materials Science · Physics 2009-11-07 A. Garcia-Lekue , J. M. Pitarke

The asymmetric Hubbard dimer is used to study the density-dependence of the exact frequency-dependent kernel of linear-response time-dependent density functional theory. The exact form of the kernel is given, and the limitations of the…

Strongly Correlated Electrons · Physics 2018-07-17 D. J. Carrascal , J. Ferrer , N. Maitra , K. Burke