2008/11/27 by A. Martín‐Rodero, A. Martin-Rodero, A. Levy Yeyati +4
Engineering · Physics and Astronomy · #Ansatz #Condensed matter physics #Coupling (piping) #Electron #Materials science #Molecular Junctions and Nanostructures #Physics #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Semiconductor materials and devices #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.78.235112
8 pages, 7 figures, accepted for publication in Physical Review B
arxiv created 2008/11/27 · openalex publication_date 2008/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a theoretical approach to determine the electronic properties of nanoscale systems exhibiting strong electron-electron and electron-phonon interactions and coupled to metallic electrodes. This approach is based on an interpolative ansatz for the electronic self-energy which becomes exact both in the limit of weak and strong coupling to the electrodes. The method provides a generalization of previous interpolative schemes which have been applied to the purely electronic case extensively. As a test case we consider the single level Anderson-Holstein model. The results obtained with the interpolative ansatz are in good agreement with existing data from numerical renormalization group calculations. We also check our results by considering the case of the electrodes represented by a few discrete levels which can be diagonalized exactly. The approximation describes properly the transition from the Kondo regime where electron-electron interactions dominate to the polaronic case characterized by a strong electron-phonon interaction.