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Basic concepts of quantum interference and electron transport in single-molecule electronics

Lambert, C. J

Chemical Society reviews, 2015-02, Vol.44 (4), p.875-888 [Peer Reviewed Journal]

England

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  • Title:
    Basic concepts of quantum interference and electron transport in single-molecule electronics
  • Author: Lambert, C. J
  • Subjects: Devices ; Electron transport ; Electronics ; Interference ; Matlab ; Readers ; Sand ; Thermoelectricity
  • Is Part Of: Chemical Society reviews, 2015-02, Vol.44 (4), p.875-888
  • Notes: Colin Lambert joined Lancaster University in 1983 and was awarded a Professorship in 1990. During the period 2005-2010 he was Associate Dean of Research, in the Faculty of Science and Technology and in 2010 was awarded a Research Professorship. He created the Lancaster Quantum Technology Centre and was the Founding Director until 2013. Over the past 20 years, he has led five European research collaborations, each involving 10 EU partners. He has published over 240 papers on the theory of quantum transport in nanostructures and single-molecule junctions and in related areas.
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  • Description: This tutorial outlines the basic theoretical concepts and tools which underpin the fundamentals of phase-coherent electron transport through single molecules. The key quantity of interest is the transmission coefficient T ( E ), which yields the electrical conductance, current-voltage relations, the thermopower S and the thermoelectric figure of merit ZT of single-molecule devices. Since T ( E ) is strongly affected by quantum interference (QI), three manifestations of QI in single-molecules are discussed, namely Mach-Zehnder interferometry, Breit-Wigner resonances and Fano resonances. A simple MATLAB code is provided, which allows the novice reader to explore QI in multi-branched structures described by a tight-binding (Hückel) Hamiltonian. More generally, the strengths and limitations of materials-specific transport modelling based on density functional theory are discussed. This tutorial outlines the basic theoretical concepts and tools which underpin the fundamentals of phase-coherent electron transport through single molecules.
  • Publisher: England
  • Language: English
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