Reversed Conductance Decay of 1D Topological Insulators by Tight-Binding Analysis

28 July 2022, Version 3
This content is a preprint and has not undergone peer review at the time of posting.


Reversed conductance decay describes increasing conductance of a molecular chain series with increasing chain length. Realizing reversed conductance decay is an important step towards making long and highly conducting molecular wires. Recent work has shown that one-dimensional topological insulators (1D TIs) can exhibit reversed conductance decay due to their non-trivial edge states. The Su-Schrieffer-Heeger (SSH) model for 1D TIs relates to the electronic structure of these isolated molecules but not their electron transport properties as single-molecule junctions. Herein, we use a tight-binding approach to demonstrate that polyacetylene and other diradicaloid 1D TIs show a reversed conductance decay at the short chain limit. We explain these conductance trends by analyzing the impact of the edge states in these 1D systems on the single-molecule junction transmission. Additionally, we discuss how the self-energy from the electrode-molecule coupling and the on-site energy of the edge sites can be tuned to create longer wires with reversed conductance decays.


single-molecule junction
reversed conductance decay
one-dimensional topological insulator
on-site energy

Supplementary materials

Supporting Information for Reversed Conductance Decay of 1D Topological Insulators by Tight-Binding Analysis
1. Su-Schrieffer-Heeger Model 2. Calculating T(E) and T(EF) 3. Quantum Interference in 1D Topological Chain 4. Transmission through Polyacetylene System 5. Transmission through X-Terminated Polyacetylene System 6. Transmission through X-Terminated Polyacetylene System 7. Additional Figures 8. Sample Mathematica Code 9. Reference


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