The metal-insulator transition observed in the In/Si(111)-4×1 reconstruction is studied by means of ab initio calculations of a simplified model of the surface. Different surface bands are identified and classified according to their origin and their response to several structural distortions. We support the, recently proposed [New J. of Phys. 7 (2005) 100], combination of a shear and a Peierls distortions as the origin of the metal-insulator transition. Our results also seem to favor an electronic driving force for the transition.Quasi one-dimensional reconstructions formed by metal deposition on Si(111) have been intensively studied in recent years. The electronic correlations and the coupling between electronic and structural degrees of freedom are enhanced in one-dimension and, as a consequence, several electronic and structural phase transitons are observed in these systems as the temperature is decreased. A nice example of this behavior is found in the In/Si(111) system, which exhibits a 4×1 → 4×2 → 8×2 structural transition accompanied by a metal-insulator electronic transition.The room-temperature (RT) 4×1 structure of the In/Si (111) confirmed by ab-initio calculations [3,4,5] which reproduce the scanning tunneling microscopy (STM) images [6,7], and the main features of the band structure.At RT the system presents three metallic surface bands with similar dispersion [8]. However, when the temperature is lowered below ∼ 130 K [9] photoemission shows the formation of a band gap. This transition is accompanied with a doubling of the unit cell in the STM images [9]. The low temperature (LT) phase has been widely studied experimentally [10,11,12,13]. Although several results seem to favor a model where the indium wires suffer a strong dimerization and break-up into trimers, the question is still far from settled. In fact, most ab-initio calculations find metallic structures which are only slightly distorted with respect to the RT phase [5,14]. Thus, the driving force behind the combined metal-insulator and structural transition remains unclear.Recently, an interesting mechanism for the