Electronic heat current fluctuations in a quantum dot

Abstract

The fluctuations of the heat current in a quantum dot coupled to electron reservoirs are calculated at finite frequency, voltage and temperature using the nonequilibrium Green function technique. The non-symmetrized heat noise is expressed as an integral on energy containing four contributions, each of which includes transmission amplitudes, electron-hole pair distribution functions and energy difference factors. The effect of the asymmetry of the couplings between the quantum dot and the reservoirs is studied. Features of the heat noise are highlighted and discussed for an equilibrium and an out-of-equilibrium quantum dot. In the latter case and within the high transmission limit, the heat noise is closely related to the radiative power spectrum, leading to an out-of-equilibrium Planck's law. Proposals for the measurement of the heat noise are discussed.

7 pages, 4 figures

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Cited by in corpus (10)

• Colloquium: Quantum heat transport in condensed matter systems
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Phase-coherent heat circulators with normal- or superconducting contacts
• Fluctuations in heat current and scaling dimension
• Fluctuation-Dissipation in Thermoelectrics
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Down-conversion of quantum fluctuations of photonic heat current in a circuit
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• Heating Dynamics of Mesoscopic Electron Baths at High Magnetic Field