The impact of bond order loss of surface atoms on thermal conductivity of cylindrical silicon nanowires has been examined using the isotropic elastic continuum model. A core-shell structure with a modified Young’s modulus in the surface skin of the wire has been used. Thermal conductivity is calculated from modified phonon dispersion relations based on recent developed bond-order-length-strength (BOLS) correlation. This work extends the previous linear approximation [Yeung et al. Phys. Rev. B 74, 155317 (2006)] to calculate the phonon dispersion relation of torsional mode and longitudinal mode using the nonlinear approach. A significant increase in thermal conductivity is found compared to the case without using BOLS correlation.
REFERENCES
1.
J.
Kim
, O.
Benson
, H.
Kan
, and Y.
Yamamoto
, Nature (London)
397
, 500
(1999
).2.
F.
Elhoussine
, S.
Mátéfi-Tempfli
, A.
Encinas
, and L.
Piraux
, Appl. Phys. Lett.
81
, 1681
(2002
).3.
K.
Schwab
, E. A.
Henriksen
, J. M.
Worlock
, and M. L.
Roukes
, Nature (London)
404
, 974
(2000
).4.
N.
Mingo
and D. A.
Broido
, Phys. Rev. Lett.
93
, 246106
(2004
).5.
W.
Liu
and M.
Asheghi
, J. Heat Transfer
128
, 75
(2006
).6.
D.
Li
, Y.
Wu
, P.
Kim
, L.
Shi
, P.
Yang
, and A.
Majumdar
, Appl. Phys. Lett.
83
, 2934
(2003
).7.
M.
Fujii
, X.
Zhang
, H.
Xie
, H.
Ago
, K.
Takahashi
, T.
Ikuta
, H.
Abe
, and T.
Shimizu
, Phys. Rev. Lett.
95
, 065502
(2005
).8.
S. T.
Huxtable
, A. R.
Abramson
, C. L.
Tien
, and A.
Majumdar
, Appl. Phys. Lett.
80
, 1737
(2002
).9.
Y.
Chen
, D.
Li
, J. R.
Lukes
, and A.
Majumdar
, J. Heat Transfer
127
, 1129
(2005
).10.
J. D.
Chung
, A. J. H.
McGaughey
, and M.
Kaviany
, Trans. ASME, Ser. C: J. Heat Transfer
126
, 376
(2004
).11.
B. A.
Glavin
, Phys. Rev. Lett.
86
, 4318
(2001
).12.
N.
Mingo
, Phys. Rev. B
68
, 113308
(2003
).13.
A.
Balandin
and K. L.
Wang
, Phys. Rev. B
58
, 1544
(1998
).14.
J.
Zou
and A.
Balandin
, J. Appl. Phys.
89
, 2932
(2001
).15.
W.
Li
and K.
Chen
, Phys. Lett. A
357
, 378
(2006
).16.
S.
Mazumder
and A.
Majumdar
, J. Heat Transfer
123
, 749
(2001
).17.
C. Q.
Sun
, S.
Li
, and C. M.
Li
, J. Phys. Chem. B
109
, 415
(2005
).18.
T. C.
Au Yeung
, C. Q.
Sun
, T. C.
Chiam
, R.
Ramanathan
, W. Z.
Shangguan
, and C. H.
Kam
, J. Appl. Phys.
98
, 104308
(2005
).19.
C. Q.
Sun
, C. M.
Li
, H. L.
Bai
, and E. Y.
Jiang
, Nanotechnology
16
, 1290
(2005
).20.
M. A.
Stroscio
, Y. M.
Sirenko
, S.
Yu
, and K. W.
Kim
, J. Phys.: Condens. Matter
8
, 2143
(1996
).21.
M.
Asen-Palmer
et al., Phys. Rev. B
56
, 9431
(1997
).22.
P.
Chantrenne
, J. L.
Barrat
, X.
Blase
, and J. D.
Gale
, J. Appl. Phys.
97
, 104318
(2005
).23.
T. C. Au
Yeung
, M. X.
Gu
, C. Q.
Sun
, G. C. K.
Chen
, D. W. K.
Wang
, and V.
Nosik
, Phys. Rev. B
74
, 155317
(2006
).© 2006 American Institute of Physics.
2006
American Institute of Physics
You do not currently have access to this content.