2000
DOI: 10.1038/35010065
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Measurement of the quantum of thermal conductance

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 gas. The conductance of this system is determined by the number of parti… Show more

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Cited by 885 publications
(778 citation statements)
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“…A suitable estimation of thermal conductivity for ideal coupling between a ballistic thermal conductor and the reservoirs relies on the quantum of thermal conductance g 0 = 2 k B 2 T / ͑3h͒ = 9.46 ϫ 10 −13 T W K −1 , which represents the maximum possible value of energy transported per phonon mode. 57 In the regime of low temperatures four main modes, arising from dilatational, torsional, and flexural degrees of freedom, are expected for a quantum wire. 58 Therefore, the thermal conductivity of a DNA oligomer of length L N = 0.34N nm will be given by N Ӎ 4g 0 L N / ͑ R 2 ͒ = 0.02 W m −1 K −1 ͑at T =10 K͒ and N Ӎ 0.6 W m −1 K −1 ͑at room temperature͒ in optimal conditions.…”
Section: Discussionmentioning
confidence: 99%
“…A suitable estimation of thermal conductivity for ideal coupling between a ballistic thermal conductor and the reservoirs relies on the quantum of thermal conductance g 0 = 2 k B 2 T / ͑3h͒ = 9.46 ϫ 10 −13 T W K −1 , which represents the maximum possible value of energy transported per phonon mode. 57 In the regime of low temperatures four main modes, arising from dilatational, torsional, and flexural degrees of freedom, are expected for a quantum wire. 58 Therefore, the thermal conductivity of a DNA oligomer of length L N = 0.34N nm will be given by N Ӎ 4g 0 L N / ͑ R 2 ͒ = 0.02 W m −1 K −1 ͑at T =10 K͒ and N Ӎ 0.6 W m −1 K −1 ͑at room temperature͒ in optimal conditions.…”
Section: Discussionmentioning
confidence: 99%
“…1 Similarly, metallic nanowires can have unusual physical properties, such as quantized electron, photon, and phonon transport. [2][3][4][5][6] Enhanced strength, plasticity, and hardness were also observed for nanocrystalline metals as a result of limited dislocation mobility 1,[7][8][9][10][11] . While other deformation mechanisms, such as desclination activity 12 may participate at high deformation rates, diffusion-controlled grain boundary sliding [13][14][15] is likely to be the dominant deformation mechanism for nanosized grain materials.…”
mentioning
confidence: 98%
“…In 2000, the phononic quantized thermal conductance counterpart was measured for the first time [29]. For the 1D quantum channel of thermal conductance, it is supposed that there are two thermal reservoirs characterized by the temperatures T L , T R and chemical potentials u L , u R , where subscripts L and R denote the left and right thermal reservoirs respectively.…”
Section: Hawking Radiation From Landauer Transport Modelmentioning
confidence: 99%