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Transport properties of the hierarchical model for stretched polymers

Chen-Ping Zhu·Shi-Jie Xiong·Tao Chen
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Abstract

We prove that the hierarchical fractal model recently proposed for describing the stretched polymers [A. N. Samukhin et al, Phys. Rev. Lett.{\bf 78}, 326(1997)] is equivalent to a one-dimensional chain with hierarchical aperiodic structure. By use of the transfer matrix technique we calculate the electronic transmission and the dc conductance. We find that there exist sharp-edged transmission subbands and gaps, but the transmission subbands are rich in substructures which show self-similarity. The temperature dependence of conductance $g (T)$ is sensitive to the variation of the Fermi level and to the structure parameters $m$ and $n$ of the original fractal structure. The relationship of the obtained results to the experimental data and other theoretical works is discussed.

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Chen-Ping Zhu, Shi-Jie Xiong, Tao Chen. 1999-04-10. Transport properties of the hierarchical model for stretched polymers. https://doi.org/10.1103/physrevb.58.12848

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