LOCALIZED ELECTRONIC STATES IN A TERNARY QUASIPERIODIC MODEL

Abstract

The one-dimensional ternary sequence generated by the substitutions S→M,M→L,L→LS is generally called SML quasiperiodic model [Phys. Rev.B43, 13240 (1991)], the electronic localization of which is studied. For this model, the Fourier transform, the b and -width dependence on site number, the second moment and multifractal behaviors of wavefunctions are investigated. It is found that the lattice structure is quasiperiodic, but the energy spectrum is of pure point and the electronic states are all localized, which exhibits the characteristic of disordered systems.