Violation of the Wiedemann-Franz Law in a Single-Electron Transistor

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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published version, minor changes; 4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.100.066801

We study the influence of Coulomb interaction on the thermoelectric transport coefficients for a metallic single-electron transistor. By performing a perturbation expansion up to second order in the tunnel-barrier conductance, we include sequential and cotunneling processes as well as quantum fluctuations that renormalize the charging energy and the tunnel conductance. We find that Coulomb interaction leads to a strong violation of the Wiedemann-Franz law: the Lorenz ratio becomes gate-voltage dependent for sequential tunneling, and is increased by a factor 9/5 in the cotunneling regime. Finally, we suggest a measurement scheme for an experimental realization.

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