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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Current Noise of Hydrodynamic Electrons
(Submitted on 2 Nov 2022 (v1), last revised 18 Sep 2023 (this version, v3))
Abstract: A resistor at finite temperature produces white noise fluctuations of the current called Johnson-Nyquist noise. Measuring the amplitude of this noise provides a powerful primary thermometry technique to access the electron temperature. In practical situations, however, one needs to generalize the Johnson-Nyquist theorem to handle spatially inhomogeneous temperature profiles. Recent work provided such a generalization for ohmic devices obeying the Wiedemann-Franz law, but there is a need to provide a similar generalization for hydrodynamic electron systems, since hydrodynamic electrons provide unusual sensitivity for Johnson noise thermometry but they do not admit a local conductivity nor obey the Wiedemann-Franz law. Here we address this need by considering low-frequency Johnson noise in the hydrodynamic setting for a rectangular geometry. Unlike in the ohmic setting, we find that the Johnson noise is geometry-dependent due to non-local viscous gradients. Nonetheless, ignoring the geometric correction only leads to an error of at most 40% as compared to naively using the ohmic result.
Submission history
From: Aaron Hui [view email][v1] Wed, 2 Nov 2022 17:59:55 GMT (288kb,D)
[v2] Tue, 21 Feb 2023 01:58:23 GMT (287kb,D)
[v3] Mon, 18 Sep 2023 14:03:04 GMT (289kb,D)
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