Construction of the B88 exchange-energy functional in two dimensions
  We construct a generalized-gradient approximation for the exchange-energy density of finite two-dimensional systems. Guided by non-empirical principles, we include the proper small-gradient limit and the proper tail for the exchange-hole potential. The observed performance is superior to that of the two-dimensional local-density approximation, which underlines the usefulness of the approach in practical applications. 
J. G. Vilhena, E. Rasanen, M.A.L. Marques and S. Pittalis
cond-mat.str-el physics.chem-ph