2D bands and electron-phonon interactions in polyacene plastic transistors

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.87.226802

We present a simple tight-binding model for the two-dimensional energy bands of polyacene field-effect transistors and for the coupling of these bands to lattice vibrations of their host molecular crystal. We argue that the strongest electron-phonon interactions in these systems originate from the dependence of inter-molecule hopping amplitudes on collective molecular motion, and introduce a generalized Su-Schrieffer-Heeger model that accounts for all vibrations and is parameter-free once the band mass has been specified. We compute the electron-phonon spectral function $\alpha^2F(\omega)$ as a function of two-dimensional hole density, and are able to explain the onset of superconductivity near 2D carrier density $n_{2D} \sim 10^{14} cm^{-2}$, discovered in recent experiments by Sch\"on {\it et al.} \onlinecite{Batlogg}.

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