Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0304034 · Europhysics Letters (EPL)

Structure of the local-field factor of the 2D electron fluid. Possible evidence for correlated scattering of electron pairs

M. W. C. Dharma‐wardana, F. Perrot

Published Sep 1, 2003• 15 citations
arXivHTMLPDF

Abstract

The static local-field factor (LFF) of the 2D electron fluid is calculated nonperturbatively using a mapping to a classical Coulomb fluid ( Phys. Rev. Lett. , 87 (2001) 206404). The LFF for the paramagnetic fluid differs markedly from perturbation theory where a peak near 2 k F is expected. Our LFF has a quasi-linear small- k region leading to a peak close to 3 k F , in agreement with available quantum Monte Carlo data. The structure in the LFF and its dependence on the density and temperature are interpreted as a signature of correlated scattering of electron pairs of opposite spin. The lack of structure at 2 k F implies weakened Friedel oscillations, Kohn anomalies, etc.

DOI
10.1209/epl/i2003-00593-6

Related papers

The static response and the local-field factor of the 2-D electron fluid

M. W. C. Dharma‐wardana, F. Perrot

The static local-field factor (LFF) of the interacting 2-D fluid is calculated nonperturbatively using a mapping of the quantum fluid to a classical Coulomb fluid [Phys. Rev. Let., {\bf 87}, 206 (2002)]. The LFF for the paramagnetic fluid DIFFERS MARKEDLY from expectations from standard perturbation theory. Our result for the LFF has a maximum close to 3$k_F$, while perturbation methods yield a maximum near 2$k_F$. The available quantum Monte Carlo data seem to agree with our results.These findings imply that many effects, e.g., Friedel oscillations, Kohn anomalies, effective electron-electron interactions, etc., are affected by the strong correlations among anti-parallel spins in 2D.

arXiv:cond-mat/0211127•Nov 7, 2002•0 citations

Static local-field factors in a two-dimensional electron liquid

Reza Asgari, A. Levent Subaşı, Amir Abbas Sabouri-Dodaran +1 more

We present a numerical calculation for the static spin-symmetric and spin-antisymmetric local-field factors as a function of density in a two-dimensional (2D) unpolarized electron liquid. We use a recent analytical expression for the spin-resolved pair distribution function of a 2D electron liquid based on quantum Monte Carlo simulation data and accurate correlation energy as input to construct the local-field factors from the fluctuation-dissipation theorem. We obtain good agreement with data from quantum Monte Carlo studies of the 2D electron liquid over an extensive range of density.

Physical Review B•Oct 23, 2006•14 citations

Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid

N. D. Drummond, Richard J. Needs

We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair-correlation function, static structure factor, and momentum density of the ground state of the two-dimensional (2D) homogeneous electron gas. We have used highly accurate Slater-Jastrow-backflow trial wave functions and twist averaging to reduce finite-size effects where applicable. We compare our results with others in the literature and construct a local-density-approximation exchange-correlation functional for 2D systems.

arXiv:1002.2122•Physical Review B•Feb 13, 2009•40 citations

One-dimensional electron fluid at high density

Vinod Ashokan, N. D. Drummond, K. N. Pathak

We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin cylindrical wire the predicted correlation energy is found to fit nicely with a quadratic function of coupling parameter ${r}_{s}$. The extracted exponent $\ensuremath{\alpha}$ of the momentum density for $k\ensuremath{\sim}{k}_{F}$ is used to determine the Tomonaga-Luttinger parameter ${K}_{\ensuremath{\rho}}$ as a function of ${r}_{s}$ in the high-density regime. We find that the simulated static structure factor and pair correlation function for infinitely thin wires agree with our recent high-density theory [K. Morawetz et al., Phys. Rev. B 97, 155147 (2018)].

arXiv:1805.00344•Physical review. B./Physical review. B•Sep 24, 2018•12 citations

Correlations in two-dimensional electron gas: Random-phase approximation with exchange and ladder results

Francesco Pederiva, E. Lipparini, K Takayanagi

We have evaluated the density-density response of the two-dimensional electron gas at zero temperature by solving the Dyson equation for the particle-hole Green's function, including exchange Coulomb matrix elements and short-range contributions in the ladder approximation. We study the effect of these correlations on the total energy, compressibility per particle, local field factor G ( q ), static structure factor and pair-correlation function. Results are compared with the normal random-phase approximation, local field theories and quantum Monte Carlo calculations.

Europhysics Letters (EPL)•Dec 15, 1997•6 citations

Dynamical local-field factors and effective interactions in the two-dimensional electron liquid

Gurinder S. Atwal, Iya G. Khalil, Neil William Ashcroft

We present an analytical study of the dynamical local-field factors associated with the response of a homogeneous two-dimensional interacting electron liquid as functions of momentum, frequency, and density. We derive sum rules that constrain their asymptotic forms (in momentum and frequency) for both the spin-symmetric and spin-antisymmetric cases. Parametrized expressions for the local-field factors are proposed, based on all available sum rules and on many-body perturbation theory, and these are found to be in good agreement with quantum Monte Carlo calculations. Finally, these expressions are used to evaluate the effective electron-electron interaction in a local approximation for two-dimensional systems. It is shown that both the quantitative and qualitative behaviors of the interaction are sensitive to the inclusion of dynamical correlations.

Physical review. B, Condensed matter•Mar 12, 2003•22 citations
The static local-field factor (LFF) of the 2D electron fluid is calculated nonperturbatively using a mapping to a classical Coulomb fluid ( Phys. Rev. Lett. , 87 (2001) 206404). The LFF for the paramagnetic fluid differs markedly from perturbation theory where a peak near 2 k F is expected. Our LFF has a quasi-linear small- k region leading to a peak close to 3 k F , in agreement with available quantum Monte Carlo data. The structure in the LFF and its dependence on the density and temperature are interpreted as a signature of correlated scattering of electron pairs of opposite spin. The lack of structure at 2 k F implies weakened Friedel oscillations, Kohn anomalies, etc.
The static local-field factor (LFF) of the interacting 2-D fluid is calculated nonperturbatively using a mapping of the quantum fluid to a classical Coulomb fluid [Phys. Rev. Let., {\bf 87}, 206 (2002)]. The LFF for the paramagnetic fluid DIFFERS MARKEDLY from expectations from standard perturbation theory. Our result for the LFF has a maximum close to 3kFk_FkF​, while perturbation methods yield a maximum near 2kFk_FkF​. The available quantum Monte Carlo data seem to agree with our results.These findings imply that many effects, e.g., Friedel oscillations, Kohn anomalies, effective electron-electron interactions, etc., are affected by the strong correlations among anti-parallel spins in 2D.
We present a numerical calculation for the static spin-symmetric and spin-antisymmetric local-field factors as a function of density in a two-dimensional (2D) unpolarized electron liquid. We use a recent analytical expression for the spin-resolved pair distribution function of a 2D electron liquid based on quantum Monte Carlo simulation data and accurate correlation energy as input to construct the local-field factors from the fluctuation-dissipation theorem. We obtain good agreement with data from quantum Monte Carlo studies of the 2D electron liquid over an extensive range of density.
We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair-correlation function, static structure factor, and momentum density of the ground state of the two-dimensional (2D) homogeneous electron gas. We have used highly accurate Slater-Jastrow-backflow trial wave functions and twist averaging to reduce finite-size effects where applicable. We compare our results with others in the literature and construct a local-density-approximation exchange-correlation functional for 2D systems.
We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin cylindrical wire the predicted correlation energy is found to fit nicely with a quadratic function of coupling parameter rs{r}_{s}rs​. The extracted exponent $\ensuremath{\alpha}$ of the momentum density for $k\ensuremath{\sim}{k}_{F}$ is used to determine the Tomonaga-Luttinger parameter ${K}_{\ensuremath{\rho}}$ as a function of rs{r}_{s}rs​ in the high-density regime. We find that the simulated static structure factor and pair correlation function for infinitely thin wires agree with our recent high-density theory [K. Morawetz et al., Phys. Rev. B 97, 155147 (2018)].
We have evaluated the density-density response of the two-dimensional electron gas at zero temperature by solving the Dyson equation for the particle-hole Green's function, including exchange Coulomb matrix elements and short-range contributions in the ladder approximation. We study the effect of these correlations on the total energy, compressibility per particle, local field factor G ( q ), static structure factor and pair-correlation function. Results are compared with the normal random-phase approximation, local field theories and quantum Monte Carlo calculations.
We present an analytical study of the dynamical local-field factors associated with the response of a homogeneous two-dimensional interacting electron liquid as functions of momentum, frequency, and density. We derive sum rules that constrain their asymptotic forms (in momentum and frequency) for both the spin-symmetric and spin-antisymmetric cases. Parametrized expressions for the local-field factors are proposed, based on all available sum rules and on many-body perturbation theory, and these are found to be in good agreement with quantum Monte Carlo calculations. Finally, these expressions are used to evaluate the effective electron-electron interaction in a local approximation for two-dimensional systems. It is shown that both the quantitative and qualitative behaviors of the interaction are sensitive to the inclusion of dynamical correlations.