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We report a tight-binding calculation of the magnetic properties of triangular Co nanoparticles with two monolayers height supported on the ͑111͒ substrate of Cu. This system has been recently characterized through scanning tunneling microscopy measurements. The spin-polarized electronic structure is self-consistently determined by solving a tight-binding Hamiltonian for the 3d, 4s, and 4p valence electrons. Different particle sizes as well as different particle concentrations over the surface are considered in order to investigate the influence of the local environment on the magnetic map of the system. The resulting trends are discussed by comparing with those obtained from available measurements for free-standing Co clusters, and with the asymptotic limit of a Co bilayer on Cu͑111͒.

The spin-polarization at the V(001) surface has been studied by using different local (LSDA) and semilocal (GGA) approximations to the exchange-

The magnetic properties of monoatomic Co wires supported on the Pd͑110͒ substrate have been studied using a self-consistent spd-tight-binding model with parameters fitted to ab initio tight-binding linear muffintin orbital results for the ideal Co monolayer deposited on the same substrate. The geometrical structure of the system is based on recent scanning tunneling microscopy experiments for Cu wires supported on Pd͑110͒. Two possible magnetic configurations have been considered, one with parallel ͑P͒ magnetic coupling between adjacent wires and the other with antiparallel (AP) coupling. Results are reported for the local magnetic moments and spin-polarized densities of states, magnetic coupling between wires as a function of the interwire distance and wire-substrate magnetic interaction.