Relation between Johnson Noise and heating power in a two-terminal conductor

Abstract

We consider the Johnson noise of a two-dimensional, two-terminal electrical conductor for which the electron system obeys the Wiedemann-Franz law. We derive two simple and generic relations between the Johnson Noise temperature and the heat flux into the electron system. First, we consider the case where the electron system is heated by Joule heating from a DC current, and we show that there is a universal proportionality coefficient between the Joule power and the increase in Johnson noise temperature. Second, we consider the case where heat flows into the sample from an external source, and we derive a simple relation between the Johnson noise temperature and the heat flux across the boundary of the sample.

arXiv comment7 pages, 1 figure

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• Electronic Thermal Transport Measurement in Low-Dimensional Materials with Graphene Nonlocal Noise Thermometry
• Current Noise of Hydrodynamic Electrons
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Nonlocal thermoelectric resistance in vortical viscous transport
• Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise
• Wiedemann-Franz behavior at the Weyl points in compressively strained HgTe
• Non-local origin and correlations in the Johnson noise at nonuniform temperatures