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We consider electronic exchange and correlation effects in density-functionalcalculations of two-dimensional systems. Starting from wave functioncalculations of total energies and electron densities of inhomogeneous modelsystems, we derive corresponding exchange-correlation potentials and energies.We compare these with predictions of the local-spin-density approximation anddiscuss its accuracy. Our data will be useful as reference data in testing,comparing and parametrizing exchange and correlation functionals fortwo-dimensional electronic systems.

physical review. b, condensed matter and materials physics

Exchange-correlation potentials for inhomogeneous electron systems in  two dimensions from exact diagonalization: comparison with the  local-spin-density approximation