Parameters determining the performance of the crystalline oxides zirconia (ZrO2) and hafnia (HfO2) as gate insulators in nanometric Si electronics are estimated via ab initio calculations of the energetics, dielectric properties, and band alignment of bulk and thin-film oxides on Si (001). With their large dielectric constants, stable and low-formation-energy interfaces, large valence offsets, and reasonable (though not optimal) conduction offsets (electron injection barriers), zirconia and hafnia appear to have a considerable potential as gate oxides for Si electronics.PACS numbers: 68.35.-p, 77.22.-d, 85.30.-z, 61.66.-p The performance needs of modern information technology are forcing Si-based ultra-large-scale-integrated (ULSI) devices into the domain of nanometric dimensions. This downscaling implies, among others, the effective continuing reduction of the physical thickness of insulating gate oxide layers in CMOS (Complementary Metal-Oxide-Semiconductor) devices. Amorphous SiO 2 , the natural oxide of Si technology, is now nearing its fundamental size limits, with physical thicknesses currently down to 2 unit cells [1]. This leads to uncomfortably large (> 1 A/cm 2 ) leakage currents and increased failure probabilities. The main reason for the strong reduction of gate-oxide thickness in device downscaling is the need for increasing capacitances in the CMOS conducting channel. In a CMOS, the gate oxide layer dominates the series capacitance of the channel. An increase in capacitance can be obtained reducing the dielectric thickness d/ε of the oxide layer, having physical thickness d and relative dielectric constant ε. Given its small dielectric constant, it is understandable that SiO 2 as a gate oxide has emerged as one of the key bottlenecks in device donwscaling [1,2].It thus appears that, if Moore's law [3] on ULSI circuit component density -and hence circuit performance -is to remain valid in the next decade, a replacement will have to be found for silica as a gate insulator. The basic selection criteria for such a replacement are i) larger dielectric constant ("high-κ"), ii) interface band offsets to Si as large as or comparable to those of silica (especially the electron injection barrier), iii) epitaxy on Si energetically not too costly, iv) thermodynamical stability in contact with Si. In this work we address the expected performance, in terms of the above criteria, for the two important current candidates [1, 2, 4] hafnia (HfO 2 ) and zirconia (ZrO 2 ) through first-principles density-functional calculations of the structure, energetics, thermodynamical stability, dielectric constants, and band offsets of crystalline hafnia and zirconia thin films epitaxially grown on the (001) face of crystalline Si. We find stable and moderate-cost interfaces, large dielectric constants, and large band offsets, except for the electron injection barrier, estimated at 1 eV at most, appreciably lower than the Si/silica barrier.Our density functional theory calculations in the generalized gradient approximation [5...