Correlation energy and spin polarization in the 2D electron gas.

The ground-state energy of the two-dimensional uniform electron gas has been calculated with a fixed-node diffusion Monte Carlo method, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We give a simple analytic representation of the correlation energy which fits our simulation data and includes several known high- and low-density limits. This parametrization provides a reliable local spin density energy functional for two-dimensional systems and an estimate for the spin susceptibility. Within the proposed model for the correlation energy, a weakly first-order polarization transition occurs shortly before Wigner crystallization as the density is lowered.

[1]  D. Varsano,et al.  Spin-polarization transition in the two-dimensional electron gas , 2001 .

[2]  K. Mertes,et al.  Scaling of the magnetoconductivity of silicon MOSFETs: evidence for a quantum phase transition in two dimensions. , 2000, Physical review letters.

[3]  S. V. Kravchenko,et al.  Metallic behavior and related phenomena in two dimensions , 2000, cond-mat/0006055.

[4]  K. Mertes,et al.  Scaling of the Magnetoconductivity of Silicon MOSFETs , 2001 .

[5]  R. Needs,et al.  Quantum Monte Carlo simulations of solids , 2001 .

[6]  P. García-González.  Dimensional crossover of the exchange-correlation density functional , 2000 .

[7]  Peeters,et al.  Molecule-type phases and Hund's rule in vertically coupled quantum dots , 2000, Physical review letters.

[8]  J. Perdew,et al.  Evaluating density functional performance for the quasi-two-dimensional electron gas , 2000 .

[9]  J. Leburton,et al.  Two-dimensional limit of exchange-correlation energy functional approximations , 1999, cond-mat/9911179.

[10]  M. Manninen,et al.  Quantum Dots in Magnetic Fields: Phase Diagram and Broken Symmetry at the Maximum-Density-Droplet Edge , 1999, cond-mat/9904067.

[11]  N. Wingreen,et al.  Spin-density-functional theory of circular and elliptical quantum dots , 1998, cond-mat/9808193.

[12]  D. Tsui,et al.  WIGNER CRYSTALLIZATION AND METAL-INSULATOR TRANSITION OF TWO-DIMENSIONAL HOLES IN GAAS AT B = 0 , 1998, cond-mat/9807235.

[13]  M. Johnson,et al.  Ensemble density-functional approach to charge-spin textures in inhomogeneous quantum Hall systems , 1997, cond-mat/9712168.

[14]  G. Ortiz,et al.  Erratum: Correlation energy, structure factor, radial distribution function, and momentum distribution of the spin-polarized uniform electron gas [Phys. Rev. B50, 1391 (1994)] , 1997 .

[15]  M. Manninen,et al.  Hund's Rules and Spin Density Waves in Quantum Dots , 1997 .

[16]  Kwon,et al.  Transient-estimate Monte Carlo in the two-dimensional electron gas. , 1996, Physical review. B, Condensed matter.

[17]  Foulkes,et al.  Finite-size effects and Coulomb interactions in quantum Monte Carlo calculations for homogeneous systems with periodic boundary conditions. , 1996, Physical review. B, Condensed matter.

[18]  Vignale,et al.  Erratum: Current-density-functional theory of quantum dots in a magnetic field , 1994, Physical review. B, Condensed matter.

[19]  F. Rapisarda,et al.  Diffusion Monte Carlo study of electrons in two-dimensional layers , 1994 .

[20]  Ortiz,et al.  Correlation energy, structure factor, radial distribution function, and momentum distribution of the spin-polarized uniform electron gas. , 1994, Physical review. B, Condensed matter.

[21]  Congleton.  Hyperfine populations prior to muon capture. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[22]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

[23]  Giuliani,et al.  Spin susceptibility in a two-dimensional electron gas. , 1989, Physical review. B, Condensed matter.

[24]  D. Ceperley,et al.  Ground state of the two-dimensional electron gas. , 1989, Physical review. B, Condensed matter.

[25]  F. Stern,et al.  Electronic properties of two-dimensional systems , 1982 .

[26]  A. Isihara,et al.  Exact evaluation of the second-order exchange energy of a two-dimensional electron fluid , 1980 .

[27]  D. Ceperley.  Ground state of the fermion one-component plasma: A Monte Carlo study in two and three dimensions , 1978 .

[28]  A. Rajagopal,et al.  Correlations in a two-dimensional electron system , 1977 .

[29]  A. Maradudin,et al.  Some static and dynamical properties of a two-dimensional Wigner crystal , 1977 .