Phase-shift analysis of electric conductance through nanostructure bridges

We present our theoretical studies of electric conductance through nanostructure bridges. A simple expression of the electric conductance is obtained by using the phase-shift analysis. The phase-shifts are given by solving the characteristic equation obtained by extending the method applied to the single impurity problem in the metal. It is shown that the importance of the effect due to multiple orbitals in nanostructures. The conductance of the chain consisting atoms with sp_z character such as Al is given.