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

Abstract

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.

published version, minor changes; 4 pages, 3 figures

References in corpus (4)

• Thermopower of a Kondo-correlated quantum dot
• Heat Transistor: Demonstration of Gate-Controlled Electron Refrigeration
• Quantum-fluctuation effects on the thermopower of a single-electron transistor
• Failure of the Wiedemann-Franz Law in Mesoscopic Conductors

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