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Paper   IPM / Physic / 7354
School of Physics
  Title:   Analytic Theory of Correlation Energy and Spin Polarization in the 2D Electron Gas
1.  R. Asgari
2.  B. Davoudi
3.  M.P. Tosi
  Status:   Published
  Journal: Solid State Commun.
  Vol.:  131
  Year:  2004
  Pages:   301-305
  Supported by:  IPM
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 schr?dinger 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 result for the correlation energy show a quantum phase transition occurring at coupling strength rs ≈ 24 from the paramagnetic to the fully spin-polarized fluid.

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