PLASMONS IN FINITE 3-TILE QUASI-PERIODIC SUPERLATTICES - ON-SITE MODEL

We investigate the plasmon spectrum of a finite semiconductor superlat tice in which the quantum wells are located at periodic sites but the electron densities are arranged in a three-tile quasiperiodic sequence . It is found that the branching rule of the on-site model is differen t from that of the transfer model. The quasiperiodic arrangement of th e electron densities results in a number of surface modes. The localiz ation of the modes is discussed.