Lattice thermal conductance in nanowires at low temperatures: Breakdown and recovery of quantization

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 20, 2005, Pages

  Tanaka, Y ^a,b   Yoshida, F ^a   Tamura, S ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

^b Dartmouth College   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28744452749     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.205308     Document Type: Article

References (18)

1. For a recent review, see M. P. Blencowe, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.12.005 395, 159 (2004).
2. A. N. Cleland, Foundations of Nanomechanics (Springer, Berlin, 2003).
3. K. Schwab, E. A. Henriksen, J. M. Worlock, and M. L. Roukes, Nature (London) NATUAS 0028-0836 10.1038/35010065 404, 974 (2000).
4. K. Schwab, J. L. Arlett, J. M. Worlock, and M. L. Roukes, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/S1386-9477(00)00178-8 9, 60 (2001).
5. L. G. C. Rego and G. Kirczenow, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.232 81, 232 (1998).
6. M. P. Blencowe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.4992 59, 4992 (1999).
7. See, also, D. E. Angelescu, M. C. Cross, and M. L. Roukes, Superlattices Microstruct. SUMIEK 0749-6036 10.1006/spmi.1997.0561 23, 673 (1998).
8. R. Landauer, IBM J. Res. Dev. IBMJAE 0018-8646 1, 223 (1957).
9. U. Sivan and Y. Imry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33. 551 33, 551 (1986).
10. D. H. Santamore and M. C. Cross, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.144302 66, 144302 (2002).
11. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).
12. K. F. Graff, Wave Motion in Elastic Solids (Dover, New York, 1975).
13. P. M. Morse, Vibration and Sound (McGraw-Hill, New York, 1936).
14. See, for instance, David Yuk Kei Ko and J. C. Inkson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.9945 38, 9945 (1988);
15. L. Li, J. Opt. Soc. Am. A JOAOD6 0740-3232 13, 1024 (1996).
16. N. Nishiguchi, Y. Ando, and M. N. Wybourne, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/9/27/007 9, 5751 (1997).
17. W. M. Visscher, A. Migliori, T. M. Bell, and R. A. Reinert, J. Acoust. Soc. Am. JASMAN 0001-4966 90, 2154 (1991).
18. For a glassy silicon nitride wire we employ the isotropic approximation to estimate the elastic properties. This leads to Y=3.24× 1012 dyn cm-2 and G=1.33× 1012 dyn cm-2, and with ρ=3.20 g cm-5 we obtain vl =10.07× 105 cm s-1 and vt =6.45× 105 cm s-1. For the original data of the elastic constants for crystalline Si3 N4, see R. Vogelgesang, M. Grimsditch, and J. S. Wallace, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.125913 76, 982 (2000).