{ "id": "cond-mat/9904127", "version": "v2", "published": "1999-04-09T12:09:34.000Z", "updated": "1999-04-10T00:23:16.000Z", "title": "Transport properties of the hierarchical model for stretched polymers", "authors": [ "Chen-Ping Zhu", "Shi-Jie Xiong", "Tao Chen" ], "comment": "5 pages, 7 figures", "journal": "Physical Review B, Vol.58 p.12848 (1998)", "doi": "10.1103/PhysRevB.58.12848", "categories": [ "cond-mat.dis-nn", "cond-mat.soft" ], "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.", "revisions": [ { "version": "v2", "updated": "1999-04-10T00:23:16.000Z" } ], "analyses": { "keywords": [ "stretched polymers", "transport properties", "hierarchical model", "transmission subbands", "original fractal structure" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }