Abstract
An exact method is described for calculating the electronic or vibrational excitations in the surface region of a semi-infinite solid, starting from an orthogonal tight-binding or linear-combination-of-atomic-orbitals model for electrons or a Born-von K\'arm\'an model for phonons. A combination of matrix continued fraction and conventional Green's function techniques is used; this separates the effects of termination or cleavage of the perfect bulk crystal from effects arising from changes in the interactions in the surface region. Many ordered overlayers and a restricted class of interfaces can be treated by the same methods.
Published Version
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