Analytic theory of correlation energy and spin polarization in the 2D electron gas

Abstract

We present an analytic theory of the pair distribution function and the ground-state energy in a two-dimensional (2D) electron gas with an arbitrary degree of spin polarization. Our approach involves the solution of a zero-energy scattering Schrödinger equation with an effective potential which includes a Fermi term from exchange and kinetic energy and a Bose-like term from Jastrow-Feenberg correlations. The form of the latter is assessed from an analysis of data on a 2D gas of charged bosons. We obtain excellent agreement with data from quantum Monte Carlo studies of the 2D electron gas. In particular, our results for the correlation energy show a quantum phase transition occurring at coupling strength $r_s\approx 24$ from the paramagnetic to the fully spin-polarized fluid.

9 pages, 4 figures

References in corpus (2)

• Monte Carlo simulations of two-dimensional charged bosons
• Analytic theory of ground-state properties of a three-dimensional electron gas at varying spin polarization

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