Abstract
Using the capacitance of a glass sample as its own thermometer, we have measured the thermal conductivity of two glasses below 700mK. This technique avoids any thermal boundary resistance between the thermometer and the sample. In addition, since the loss tangent goes to zero as the temperature is lowered, the amount of heat dissipated in a capacitive measurement is very small at low temperatures. We were able to measure the thermal conductivity at temperatures which were previously experimentally inaccessible and found that the thermal conductivity, κ, scales as T 1.86 down to 10mK, in agreement with the two-level system model.
Similar content being viewed by others
REFERENCES
R. Zeller and R. Pohl, Phys. Rev. B 4, 2029 (1971).
P. Anderson, B. Halperin, and C. Varma, Phil. Mag. 25, 1 (1972).
W. Phillips, J. Low Temp. Phys. 7, 351 (1972).
J. C. Lasjaunias, R. Maynard, and M. Vandorpe, J. Phys. 39, 973 (1978).
S. Rogge, D. Natelson, B. Tigner, and D. D. Osheroff, Phys. Rev. B 55, 11256 (1997).
R. van Rooijen, A. Marchenkov, H. Akimoto, R. Jochemsen, and G. Frossati, J. Low Temp. Phys. 110, 269 (1998).
C. Yu and A. Leggett, Comments Cond. Mat. Phys. 14, 231 (1988).
S. Rogge, D. Natelson, and D. Osheroff, Phys. Rev. Lett. 76, 3136 (1996).
C. Enss and S. Hunklinger, Phys. Rev. Lett. 79, 2831 (1997).
D. Natelson, D. Rosenberg, and D. D. Osheroff, Phys. Rev. Lett. 80, 4689 (1998).
Corning No. 1 microscope cover, part No. 2935-224. Corning Labware and Equipment, Corning, NY 14831.
P. J. Anthony and A. C. Anderson, Phys. Rev. B 20, 763 (1979).
S. Rogge, D. Natelson, and D. D. Osheroff, J. Low Temp. Phys. 106, 717 (1997).
S. Rogge, D. Natelson, and D. D. Osheroff, Rev. Sci. Instr. 68 1831 (1997).
T. Klitsner and R. O. Pohl, Phys. Rev. B 36, 6551 (1987).
Jürgen T. Stockburger, Milean Grifoni, and Maura Sassetti, Phys. Rev. B 51 2835 (1995).
H. Nishiyama, H. Akimoto, Y. Okuda, and H. Ishimoto, J. Low Temp. Phys. 89, 727 (1992).
M. L. Roukes, M. R. Freeman, R. S. Germain, R. C. Richardson, and M. B. Ketchen, Phys. Rev. Lett. 55, 422 (1985).
S. Rogge, Ph.D. thesis, Stanford University (1996).
W. Holmes, private communication (1998).
E. T. Swartz and R. O. Pohl, Rev. Mod. Phys. 61, 605 (1989).
P. Strehlow, M. Wohlfart, A. G. M. Jansen, R. Haueisen, G. Weiss, C. Enss, and S. Hunklinger, Phys. Rev. Lett. 84, 1938 (2000).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rosenberg, D., Natelson, D. & Osheroff, D.D. Thermal Conductivity in Glasses Below 1K: New Technique and Results. Journal of Low Temperature Physics 120, 259–268 (2000). https://doi.org/10.1023/A:1004689828780
Issue Date:
DOI: https://doi.org/10.1023/A:1004689828780