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Measurement of the quantum of thermal conductance

Author

Listed:
  • K. Schwab

    (Condensed Matter Physics 114-36, California Institute of Technology)

  • E. A. Henriksen

    (Condensed Matter Physics 114-36, California Institute of Technology)

  • J. M. Worlock

    (Condensed Matter Physics 114-36, California Institute of Technology
    University of Utah)

  • M. L. Roukes

    (Condensed Matter Physics 114-36, California Institute of Technology)

Abstract

The physics of mesoscopic electronic systems has been explored for more than 15 years. Mesoscopic phenomena in transport processes occur when the wavelength or the coherence length of the carriers becomes comparable to, or larger than, the sample dimensions. One striking result in this domain is the quantization of electrical conduction, observed in a quasi-one-dimensional constriction formed between reservoirs of two-dimensional electron gas1,2. The conductance of this system is determined by the number of participating quantum states or ‘channels’ within the constriction; in the ideal case, each spin-degenerate channel contributes a quantized unit of 2e2/h to the electrical conductance. It has been speculated that similar behaviour should be observable for thermal transport3,4 in mesoscopic phonon systems. But experiments attempted in this regime have so far yielded inconclusive results5,6,7,8,9. Here we report the observation of a quantized limiting value for the thermal conductance, Gth, in suspended insulating nanostructures at very low temperatures. The behaviour we observe is consistent with predictions10,11 for phonon transport in a ballistic, one-dimensional channel: at low temperatures, Gth approaches a maximum value of g0 = π2k2BT/3h, the universal quantum of thermal conductance.

Suggested Citation

  • K. Schwab & E. A. Henriksen & J. M. Worlock & M. L. Roukes, 2000. "Measurement of the quantum of thermal conductance," Nature, Nature, vol. 404(6781), pages 974-977, April.
    • Handle: RePEc:nat:nature:v:404:y:2000:i:6781:d:10.1038_35010065
    DOI: 10.1038/35010065
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    Cited by:

    1. Kamran Behnia & Kostya Trachenko, 2024. "How heat propagates in liquid 3He," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    2. Yangyu Guo & Masahiro Nomura & Sebastian Volz & Jose Ordonez-Miranda, 2021. "Heat Transport Driven by the Coupling of Polaritons and Phonons in a Polar Nanowire," Energies, MDPI, vol. 14(16), pages 1-11, August.
    3. Yu Pei & Li Chen & Wonjae Jeon & Zhaowei Liu & Renkun Chen, 2023. "Low-dimensional heat conduction in surface phonon polariton waveguide," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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