Discrete surface solitons in semi-infinite binary waveguide arrays
  We analyze discrete surface modes in semi-infinite binary waveguide arrays, which can support simultaneously two types of discrete solitons. We demonstrate that the analysis of linear surface states in such arrays provides important information about the existence of nonlinear surface modes and their properties. We find numerically the families of both discrete surface solitons and nonlinear Tamm (gap) states and study their stability properties. 
Mario I. Molina, Ivan L. Garanovich, Andrey A. Sukhorukov, and Yuri S.   Kivshar