Pair-distribution functions of the two-dimensional electron gas

Abstract

Based on its known exact properties and a new set of extensive fixed-node reptation quantum Monte Carlo simulations (both with and without backflow correlations, which in this case turn out to yield negligible improvements), we propose a new analytical representation of (i) the spin-summed pair-distribution function and (ii) the spin-resolved potential energy of the ideal two-dimensional interacting electron gas for a wide range of electron densities and spin polarization, plus (iii) the spin-resolved pair-distribution function of the unpolarized gas. These formulae provide an accurate reference for quantities previously not available in analytic form, and may be relevant to semiconductor heterostructures, metal-insulator transitions and quantum dots both directly, in terms of phase diagram and spin susceptibility, and indirectly, as key ingredients for the construction of new two-dimensional spin density functionals, beyond the local approximation.

12 pages, 10 figures; misprints corrected

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• Spin Resolution of the Electron-Gas Correlation Energy: Positive same-spin contribution
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• Correlation energy of a two-dimensional electron gas from static and dynamic exchange-correlation kernels
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Cited by in corpus (32)

• Finite-size errors in continuum quantum Monte Carlo calculations
• Magnetic Ordering of Nuclear Spins in an Interacting 2D Electron Gas
• Nuclear spin ferromagnetic phase transition in an interacting 2D electron gas
• Effects of thickness on the spin susceptibility of the 2D electron gas
• Long-lived spin plasmons in a spin-polarized two-dimensional electron gas
• Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
• Exchange-energy functionals for finite two-dimensional systems
• Spin polarized two-dimensional electron gas embedded in semimagnetic quantum well : ground state, spin responses, spin excitations, Raman spectrum
• Uniform electron gases
• Density gradients for the exchange energy of electrons in two dimensions
• Exchange and correlation effects on the plasmon dispersions and the Coulomb drag in low-density electron bilayers
• Orbital-free energy functional for electrons in two dimensions
• Parameter-free density functional for the correlation energy in two dimensions
• Spin and temperature dependent study of exchange and correlation in thick two-dimensional electron layers
• Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing point
• Ground-state densities and pair correlation functions in parabolic quantum dots
• A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions
• Excitations in a spin-polarized tow-dimensional electron gas
• Semi-local density functional for the exchange-correlation energy of electrons in two dimensions
• Quantum Monte Carlo study of the phase diagram of the two-dimensional uniform electron liquid
• $\lambda$-Jellium Model for the Anomalous Hall Crystal
• The on-top pair-correlation density in the homogeneous electron liquid
• Critical gate distance for Wigner crystallization in the two-dimensional electron gas
• Phenomenological plasmon broadening and relation to the dispersion
• Analytic theory of pair distribution functions in symmetric electron-electron and electron-hole bilayers
• Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The ${\lambda }_N$-Jellium model
• The two-dimensional homogeneous electron gas with symmetric dual-gate screening: exchange-correlation functional and other ground-state properties
• The electron effective mass in the strongly correlated 2D-uniform electron fluid from finite-temperature calculations
• Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid
• Layer-thickness effects in quai-two dimensional electron liquids
• Dynamic correlations in the highly dilute 2D electron liquid: loss function, critical wave vector and analytic plasmon dispersion
• Pair distribution functions of the two-dimensional electron gas with two symmetric valleys