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Transmission from reverse reaction coordinate mappings

Author

Listed:
  • Niklas Martensen

    (Institut für Theoretische Physik, Hardenbergstr. 36, Technische Universität Berlin)

  • Gernot Schaller

    (Institut für Theoretische Physik, Hardenbergstr. 36, Technische Universität Berlin)

Abstract

We point out that the transport properties of non-interacting fermionic chains tunnel-coupled to two reservoirs at their ends can be mapped to those of a single quantum dot that is tunnel-coupled to two transformed reservoirs. The parameters of the chain are mapped to additional structure in the spectral densities of the transformed reservoirs. For example, this enables the calculation of the transmission of quantum dot chains by evaluating the known transmission of a single quantum dot together with structured spectral densities. We exemplify this analytically for short chains, which allows to optimize the transmission. In addition, we also demonstrate that the mapping can be performed numerically by computing the transmission of a Su-Schrieffer-Heeger chain. Graphical abstract

Suggested Citation

  • Niklas Martensen & Gernot Schaller, 2019. "Transmission from reverse reaction coordinate mappings," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(2), pages 1-13, February.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:2:d:10.1140_epjb_e2019-90585-0
    DOI: 10.1140/epjb/e2019-90585-0
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