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Electrical conductivity and localization in quasiperiodic lattices

Abstract The electrical conductivity of Fibonacci lattices at zero temperature is studied by means of Kubo and Landauer formalisms, in which a tight-binding Hamiltonian of the system is considered. The localization of the eigenstates is quantified by using the participation ratio and the Lyapunov exponent. The results show a close behavior between the dc conductivity and the Lyapunov exponent. In addition, the effects of the boundary conditions on the ac conductivity are also analyzed in detail.