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Related papers: The uniform electron gas

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A curious behavior of electron correlation energy is explored. Namely, the correlation energy is the energy that tends to drive the system toward that of the uniform electron gas. As such, the energy assumes its maximum value when a…

Materials Science · Physics 2019-12-17 Teepanis Chachiyo , Hathaithip Chachiyo

Precise calculations of dynamics in the homogeneous electron gas (jellium model) are of fundamental importance for design and characterization of new materials. We introduce a diagrammatic Monte Carlo technique based on algorithmic…

Strongly Correlated Electrons · Physics 2022-12-21 James P. F. LeBlanc , Kun Chen , Kristjan Haule , Nikolay V. Prokof'ev , Igor S. Tupitsyn

The quasiparticle effective mass $m^\ast$ of interacting electrons is a fundamental quantity in the Fermi liquid theory. However, the precise value of the effective mass of uniform electron gas is still elusive after decades of research.…

Statistical Mechanics · Physics 2023-06-16 Hao Xie , Linfeng Zhang , Lei Wang

Ultracold dilute gases provide ideal settings for measurements of atomic structure. Helium has an internal structure sufficiently simple to permit highly accurate predictions of its resonances and transition rates. Precise laser…

Quantum Gases · Physics 2022-12-13 Jacob A Ross

We report an analytical representation of the correlation energy ec(rs, zeta) for a uniform electron gas (UEG), where rs is the Seitz radius or density parameter and zeta is the relative spin polarization. The new functional, called W20, is…

Chemical Physics · Physics 2021-01-27 Qing-Xing Xie , Jiashun Wu , Yan Zhao

Variational and diffusion quantum Monte Carlo methods are employed to investigate the zero-temperature phase diagram of the three-dimensional homogeneous electron gas at very low density. Fermi fluid and body-centered cubic Wigner crystal…

Strongly Correlated Electrons · Physics 2022-07-13 Sam Azadi , N. D. Drummond

This work is devoted to the elucidation the applicability of jellium model to the description of alkali cluster properties on the basis of comparison the jellium model results with those derived from experiment and within ab initio…

Atomic and Molecular Clusters · Physics 2009-09-29 Anton Matveentsev , Andrey Lyalin , Ilia A Solov'yov , Andrey V Solov'yov , Walter Greiner

Unitary Fermi gases, where the scattering length is large compared to the interparticle spacing, can have universal properties, which are independent of the details of the interparticle interactions when the range of the scattering…

Other Condensed Matter · Physics 2011-07-19 J. E. Thomas , J. Kinast , A. Turlapov

The finite-temperature spin response of the uniform electron gas (UEG) is a fundamental reference for spin-polarized and magnetized electron liquids, including warm dense matter (WDM), yet it remains far less constrained than charge…

Strongly Correlated Electrons · Physics 2026-05-19 Pengcheng Hou , Zhiyi Li , Youjin Deng , Kun Chen

The uniform electron gas and the hydrogen atom play fundamental roles in condensed matter physics and quantum chemistry. The former has an infinite number of electrons uniformly distributed over the neutralizing positively-charged…

Chemical Physics · Physics 2016-06-22 Jianwei Sun , John P. Perdew , Zenghui Yang , Haowei Peng

The condensation energy of the homogeneous electron gas is calculated within the density functional theory for superconductors. Purely electronic considerations include the exchange energy exactly and the correlation energy on a level of…

Superconductivity · Physics 2013-04-02 M. Wierzbowska , J. W. Krogh

We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number of particles in large disks grows (strictly) more slowly than…

Mathematical Physics · Physics 2025-06-18 Thomas Leblé

We consider dynamical correlation functions of short range interacting electrons in one dimension at finite temperature. Below a critical value of the chemical potential there is no Fermi surface anymore, and the system can no longer be…

Strongly Correlated Electrons · Physics 2009-10-31 F. Göhmann , V. E. Korepin

The fully self-consistent GW approximation is an established method for electronic structure calculations. Its most serious deficiency is known to be an incorrect prediction of the dielectric response. In this work we examine the GW…

Strongly Correlated Electrons · Physics 2017-05-24 Kris Van Houcke , Igor S. Tupitsyn , Andrey S. Mishchenko , Nikolay V. Prokof'ev

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

Warm dense matter (WDM) -- an exotic state of highly compressed matter -- has attracted high interest in recent years in astrophysics and for dense laboratory systems. At the same time, this state is extremely difficult to treat…

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We…

Strongly Correlated Electrons · Physics 2009-11-07 Claudio Attaccalite , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

The quasiparticle effective mass is a key quantity in the physics of electron gases, describing the renormalization of the electron mass due to electron-electron interactions. Two-dimensional electron gases are of fundamental importance in…

Quantum Gases · Physics 2013-02-01 N. D. Drummond , R. J. Needs

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 introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

Strongly Correlated Electrons · Physics 2012-08-15 Pierre-François Loos , Peter M. W. Gill