We calculate the quantum-mechanical ac conductance of some aperiodic chains combining linear response theory with the transfer matrix formalism working with the one-dimensional continuous Schrfldinger equation. We distinguish compositional and positional aperiodicity. In the first case, we consider linear chains of equidistant sites occupied by delta-scatterers of two different strengths. In the second case, the scatterers are of equal strength but separated by long and short intervals. We study the conductance as a function of the chain length, the frequency of the applied electric field and the electron energy. The formalism is applied to deterministic binary substitutional chains (Fibonacci, Thue-Morse, period-doubling, Rudin-Shapiro and paper-folding). At low frequencies and/or energies the conductance is characteristic of the particular chain while with increasing frequency and/or energy the effect fades. Positional aperiodicity shows more fluctuations but with smaller amplitudes.
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