  In this article we report the results of global structural optimization of
the Si(114) surface, which is a stable high-index orientation of silicon. We
use two independent procedures recently developed for the determination of
surface reconstructions, the parallel-tempering Monte Carlo method and the
genetic algorithm. These procedures, coupled with the use of a highly-optimized
interatomic potential for silicon, lead to finding a set of possible models for
Si(114), whose energies are recalculated with ab-initio density functional
methods. The most stable structure obtained here without experimental input
coincides with the structure determined from scanning tunneling microscopy
experiments and density functional calculations by Erwin, Baski and Whitman
[Phys. Rev. Lett. 77, 687 (1996)].
