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. B74, 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.

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.
12.
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
).
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