메뉴 건너뛰기




Volumn 48, Issue 22, 1993, Pages 16373-16387

Kapitza conductance and heat flow between solids at temperatures from 50 to 300 K

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000946149     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.48.16373     Document Type: Article
Times cited : (610)

References (67)
  • 16
    • 84927301979 scopus 로고    scopus 로고
    • Earlier measurements made using this general technique have been reported by D. A. Young, C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, in Proceedings of the 5th International Conference on Phonons Scattering in Condensed Matter, edited by A. C. Anderson and J. P. Wolfe (Springer, Berlin, 1986), p. 49; and R. J. Stoner, D. A. Young, H. J. Maris, J. Tauc, and H. T. Grahn, in Phonons '89, edited by S. Hunklinger, W. Ludwig, and G. H. Weiss (World Scientific, Singapore, 1990), p. 1305.
  • 18
    • 84927301978 scopus 로고    scopus 로고
    • Debye temperatures were for the low-temperature limit. For the metals and diamond these were taken from Ref. 18. For sapphire FTHETAD was deduced from the low-temperature specific heat obtained from Ref. 18. For BaF2 FTHETAD was taken from Ref. 20. In all cases cD was deduced from FTHETAD. Mass densities were taken from Ref. 18 for the metals and diamond and from Ref. 20 for BaF2 and sapphire.
  • 22
    • 84927301976 scopus 로고    scopus 로고
    • Meller Optics, Providence, Rhode Island.
  • 26
    • 84927301975 scopus 로고    scopus 로고
    • The physical origin of this change is discussed at length in M. Cardona, Modulation Spectroscopy, Solid State Physics Suppl. (Academic, New York, 1969), Vol. 11.
  • 30
    • 84927301974 scopus 로고    scopus 로고
    • This is because the diameter of the spot is large and so temperature gradients parallel to the substrate surface are small.
  • 31
    • 84927301973 scopus 로고    scopus 로고
    • D. A. Young, Ph.D. thesis, Brown University, 1989 (unpublished).
  • 36
    • 84927301971 scopus 로고    scopus 로고
    • Coherent Satori dye laser and Coherent Antares mode-locked Nd:Yag laser.
  • 39
    • 0016993516 scopus 로고
    • We expect our lattice dynamical theory to give the same Kapitza conductance at low temperatures as theories which treat the phonons as long-wavelength elastic waves. Therefore, we compared our results with the low-temperature calculations of J. D. N. Cheeke, H. Ettinger, and B. Hebral [, ] and found agreement in most cases to within a few percent at temperatures up to about 0.1FTHETAD of the metal.
    • (1976) Can. J. Phys. , vol.54 , pp. 1749
  • 49
    • 84927301970 scopus 로고    scopus 로고
    • The same argument applies if the dissipation is due to some other mechanism associated, for example, with defects in the diamond lattice.
  • 50
    • 24444432752 scopus 로고
    • The sample temperature was kept as low as possible during the film growth in order to minimize Bi-Pb interdiffusion. To confirm that the layers had not become intermixed during the evaporation of Pb we subsequently dissolved this layer in boiling methanol and found the Bi layer to be intact. G. M. Hood [, ] has studied diffusion in Pb as a function of the atomic radius rs of the diffusant. On the basis of his empirical law we do not expect Bi to diffuse rapidly in Pb at room temperature.
    • (1981) Phys. Rev. B , vol.23 , pp. 4253
  • 51
    • 84927301969 scopus 로고    scopus 로고
    • It was not possible to conduct experiments using Bi films as in the previous experiments since the thermal conductivity of Bi is small. This made the time needed for the film to come to thermal equilibrium after the laser pulse was absorbed unacceptably long.
  • 53
    • 0011062116 scopus 로고
    • Ultraviolet photoemission study of the initial adsorption of Pb on Si(100)2×1
    • Pb binding to diamond has not to our knowledge been studied at a microscopic level. However, photoemission [, ] and STM [, 43, 7316, ] have been used to study the binding of Pb to Si. It has been clearly established that (for the Si orientations studied) Pb and Si do not react chemically, but form a surface dimer by ``dangling bond pairing of adjacent atoms in the topmost layer'' (Le Lay et al.). The adsorbed Pb atoms preferentially go into dimer bonds rather than sticking to one another, as indicated by the scarcity of three-dimensional Pb crystallites on the surface. This may indicate that the dimer bonds are stronger than the Pb-Pb bonds., E. Ganz, F. Xiong, I.-S. Hwang, J. Golovchenko, ibid.
    • (1988) Physical Review B , vol.39 , pp. 3927
    • Le Lay, G.1    Hricovini, K.2    Bonnet, J.E.3
  • 60
    • 84927301968 scopus 로고    scopus 로고
    • This is not an unusually large value when compared to the potentials binding atoms in other metals.
  • 61
    • 84927301967 scopus 로고    scopus 로고
    • Yu. A. Kosevich [in Phonons Scattering in Condensed Matter IIV (Ref. 13), p. 419] has proposed a theory (applicable at low temperatures where dispersion may be ignored) in which σK is shown to be increased if the atoms in the metal are bound to the dielectric by an attraction which extends more than a single monolayer from the metal surface. As in our theory the potential binding the interfacial atom must be quite strong. However, in Kosevich's theory the interfacial potential must be anharmonic. He finds the increased heat flow to be mainly due to modes of frequency less than ωmax.
  • 62
    • 84927301966 scopus 로고    scopus 로고
    • To verify that we have not used an unrealistic amount of anharmonicity we evaluated the coefficient of thermal expansion of our two-dimensional lattice. This was done by determining the change in the mean area of a 50-atom by 50-atom Pb lattice with ε Pb - Pb = 930 K when the temperature was varied by a small amount near 300 K. We estimated a thermal expansion coefficient of 3.5 times 10-5 K-1 which compares favorably with the experimentally determined value (Ref. 18) for Pb of 2.8 times 10-5 K-1.
  • 64
    • 4243411010 scopus 로고
    • Absence of Anomalous Kapitza Conductance on Freshly Cleaved Surfaces
    • Direct measurements of phonon transmission across interfaces between solids and liquid helium indicate that σK is not always anomalously large. For LiF cleaved in situ in liquid He, Weber et al. [, ] found the phonon transmission coefficient at 14 K to be substantially greater after the LiF surface ws exposed to air. Similar experiments performed much earlier [, R. C. Johnson, Bull. Am. Phys. Soc., 9, 713, ] using KCl did not show this effect, and therefore did not necessarily support the conclusion that the enhancement seen in the above experiment and in other experiments , 22, 257, N. S. Snyder, J. Low Temp. Phys.
    • (1964) Physical Review Letters , vol.40 , pp. 1469
    • Weber, J.1    Sandmann, W.2    Dietsche, W.3    Kinder, H.4
  • 65
    • 0016574253 scopus 로고
    • was due to interfacial contamination. The most recent experiments (Ref. 62) clearly show that the amount of interfacial contamination needed for a large change in σK is extremely small. This may explain the inconsistency of the earlier results.
    • (1975) Solid State Commun. , vol.17 , pp. 1095
    • Sabisky, E.S.1    Anderson, C.H.2
  • 67
    • 0019600020 scopus 로고
    • By drawing analogy with the theory of glasses, H. Kinder [, ] suggested that such modes could also arise as a consequence of disorder at the surface of a solid. He also discussed the effect of these modes on σK and considered the requirements for their coupling strength to phonons in the helium and the solid. The theory has since been developed further by H. Kinder and K. Weiss , J. Phys: Condens. Matter, 5, 2063
    • (1981) Physica B , vol.107 , pp. 549


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.