Generalized gradient approximation for solids and their surfaces
John P. Perdew, Adrienn Ruzsinszky, Gabor I. Csonka, Oleg A. Vydrov,, Gustavo E. Scuseria, Lucian A. Constantin, Xiaolan Zhou, and Kieron Burke

TL;DR
The paper introduces PBEsol, a revised GGA functional that restores the gradient expansion for exchange energy, leading to improved predictions of equilibrium properties for densely-packed solids and their surfaces.
Contribution
It presents PBEsol, a new GGA functional that corrects the bias of previous GGAs by restoring the gradient expansion, enhancing accuracy for solid-state properties.
Findings
PBEsol improves equilibrium properties of densely-packed solids.
It provides better surface energy predictions.
The functional aligns well with first-principles gradient expansion.
Abstract
Successful modern generalized gradient approximations (GGA) are biased toward atomic energies. Restoration of the first-principles gradient expansion for the exchange energy over a wide range of density gradients eliminates this bias. We introduce PBEsol, a revised Perdew-Burke-Ernzerhof GGA that improves equilibrium properties for many densely-packed solids and their surfaces.
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