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.
@article{arxiv.1403.6297,
title = {Construction of the B88 exchange-energy functional in two dimensions},
author = {J. G. Vilhena and E. Rasanen and M. A. L. Marques and S. Pittalis},
journal= {arXiv preprint arXiv:1403.6297},
year = {2014}
}