Nonlinear heat transport in mesoscopic conductors: Rectification, Peltier effect and Wiedemann-Franz law

Abstract

We investigate nonlinear heat properties in mesoscopic conductors using a scattering theory of transport. Our approach is based on a leading-order expansion in both the electrical and thermal driving forces. Beyond linear response, the transport coefficients are functions of the nonequilibrium screening potential that builds up in the system due to interactions. Within a mean-field approximation, we self-consistently calculate the heat rectification properties of a quantum dot attached to two terminals. We discuss nonlinear contributions to the Peltier effect and find departures from the Wiedemann-Franz law in the nonlinear regime of transport.

8 pages, 4 figures

References in corpus (9)

• Heat Transport in low-dimensional systems
• Optimal energy quanta to current conversion
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Scattering theory of nonlinear thermoelectric transport
• Thermal rectification in nonlinear quantum circuits
• Thermodynamic and quantum bounds on nonlinear DC thermoelectric transport
• Failure of the Wiedemann-Franz Law in Mesoscopic Conductors
• Magnetic field asymmetry of mesocopic dc rectification in Aharonov Bohm rings
• Thermal rectification effect of an interacting quantum dot

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