We report results of a combined investigation of thermal conductivity and acoustic phonon spectra in nanoporous alumina membranes with the pore diameter decreasing from D = 180 nm to 25 nm. The samples with the hexagonally arranged pores were selected to have the same porosity ϕ ≈ 13%. The Brillouin-Mandelstam spectroscopy measurements revealed bulk-like phonon spectrum in the samples with D = 180-nm pores and spectral features, which were attributed to spatial confinement, in the samples with 25-nm and 40-nm pores. The velocity of the longitudinal acoustic phonons was reduced in the samples with smaller pores. Analysis of the experimental data and calculated phonon dispersion suggests that both phonon-boundary scattering and phonon spatial confinement affect heat conduction in membranes with the feature sizes D < 40 nm.

1.
A. A.
Balandina
and
D. L.
Nika
,
Mater. Today
15
,
266
(
2012
).
2.
I.
Ponomareva
,
D.
Srivastava
, and
M.
Menon
,
Nano Lett.
7
,
1155
(
2007
).
3.
M. C.
Wingert
,
Z. C. Y.
Chen
,
E.
Dechaumphai
,
J.
Moon
,
J.-H.
Kim
,
J.
Xiang
, and
R.
Chen
,
Nano Lett.
11
,
5507
(
2011
).
4.
J.
Cuffe
,
E.
Chávez
,
A.
Shchepetov
,
P.-O.
Chapuis
,
E. H.
El Boudouti
,
F.
Alzina
,
T.
Kehoe
,
J.
Gomis-Bresco
,
D.
Dudek
,
Y.
Pennec
 et al,
Nano Lett.
12
,
3569
(
2012
).
5.
S.
Alaie
,
D. F.
Goettler
,
M.
Su
,
Z. C.
Leseman
,
C. M.
Reinke
, and
I.
El-Kady
,
Nat. Commun.
6
,
7228
(
2015
).
6.
W. L.
Johnson
,
S. A.
Kim
,
R.
Geiss
,
C. M.
Flannery
,
K. A.
Bertness
, and
P. R.
Heyliger
,
Nanotechnology
23
,
495709
(
2012
).
7.
M.
Hu
,
K. P.
Giapis
,
J. V.
Goicochea
,
X.
Zhang
, and
D.
Poulikakos
,
Nano Lett.
11
,
618
(
2011
).
8.
D. L.
Nika
,
A. I.
Cocemasov
,
C. I.
Isacova
,
A. A.
Balandin
,
V. M.
Fomin
, and
O. G.
Schmidt
,
Phys. Rev. B
85
,
205439
(
2012
).
9.
H.
Li
,
H.
Ying
,
X.
Chen
,
D. L.
Nika
,
A. I.
Cocemasov
,
W.
Cai
,
A. A.
Balandin
, and
S.
Chen
,
Nanoscale
6
,
13402
(
2014
).
10.
G.
Fugallo
,
A.
Cepellotti
,
L.
Paulatto
,
M.
Lazzeri
,
N.
Marzari
, and
F.
Mauri
,
Nano Lett.
14
,
6109
(
2014
).
11.
A.
Balandin
and
K. L.
Wang
,
Phys. Rev. B
58
,
1544
(
1998
).
12.
J.
Zou
and
A.
Balandin
,
J. Appl. Phys.
89
,
2932
(
2001
).
13.
L. C.
Parsons
and
G. T.
Andrews
,
Appl. Phys. Lett.
95
,
241909
(
2009
).
14.
A.
Sato
,
W.
Knoll
,
Y.
Pennec
,
B.
Djafari-Rouhani
,
G.
Fytas
, and
M.
Steinhart
,
J. Chem. Phys.
130
,
111102
(
2009
).
15.
B.
Graczykowski
,
M.
Sledzinska
,
F.
Alzina
,
J.
Gomis-Bresco
,
J. S.
Reparaz
,
M. R.
Wagner
, and
C. M.
Sotomayor Torres
,
Phys. Rev. B
91
,
75414
(
2015
).
16.
D. R.
Birt
,
K.
An
,
A.
Weathers
,
L.
Shi
,
M.
Tsoi
, and
X.
Li
,
Appl. Phys. Lett.
102
,
82401
(
2013
).
17.
K. S.
Olsson
,
N.
Klimovich
,
K.
An
,
S.
Sullivan
,
A.
Weathers
,
L.
Shi
, and
X.
Li
,
Appl. Phys. Lett.
106
,
51906
(
2015
).
18.
Y.
Li
,
H. S.
Lim
,
S. C.
Ng
,
M. H.
Kuok
,
M. Y.
Ge
, and
J. Z.
Jiang
,
Appl. Phys. Lett.
91
,
93116
(
2007
).
19.
L. C.
Parsons
and
G. T.
Andrews
,
J. Appl. Phys.
116
,
033510
(
2014
).
20.
A.
Sato
,
Y.
Pennec
,
T.
Yanagishita
,
H.
Masuda
,
W.
Knoll
,
B.
Djafari-Rouhani
, and
G.
Fytas
,
New J. Phys.
14
,
113032
(
2012
).
21.
C.
Dames
and
G.
Chen
,
Thermoelectrics Handbook: Macro to Nano
, edited by
D. M.
Rowe
(
CRC Press
,
Boca Raton, FL
,
2005
).
22.
F.
Yang
and
C.
Dames
,
Phys. Rev. B
87
,
35437
(
2013
).
23.
F.
Li
,
L.
Zhang
, and
R. M.
Metzger
,
Chem. Mater.
10
,
2470
(
1998
).
24.
M.
Wang
and
N.
Pan
,
Mater. Sci. Eng., R
63
,
1
(
2008
).
25.
W.
Pabst
,
E.
Gregorová
, and
G.
Tichá
,
J. Eur. Ceram. Soc.
27
,
479
(
2007
).
26.
27.
P.
Goli
,
H.
Ning
,
X.
Li
,
C.
Yu Lu
,
K. S.
Novoselov
, and
A. A.
Balandin
,
Nano Lett.
14
,
1497
(
2014
).
28.
E.
Gregorová
,
W.
Pabst
,
Z.
Sofer
,
O.
Jankovský
, and
J.
Matějíček
,
J. Phys.: Conf. Ser.
395
,
012022
(
2012
).
29.
J.
Lee
,
Y.
Kim
,
U.
Jung
, and
W.
Chung
,
Mater. Chem. Phys.
141
,
680
(
2013
).
30.
Z.
Živcová
,
E.
Gregorová
,
W.
Pabst
,
D. S.
Smith
,
A.
Michot
, and
C.
Poulier
,
J. Eur. Ceram. Soc.
29
,
347
(
2009
).
31.
R.
Shuker
and
R. W.
Gammon
,
Phys. Rev. Lett.
25
,
222
(
1970
).
32.
R. B.
Laughlin
and
J. D.
Joannopoulos
,
Phys. Rev. B
16
,
2942
(
1977
).
33.
J. M.
Ziman
,
Electrons and Phonons: The Theory of Transport Phenomena in Solids
(
Oxford University Press
,
1960
).
34.
J.
Tang
,
H.-T.
Wang
,
D. H.
Lee
,
M.
Fardy
,
Z.
Huo
,
T. P.
Russell
, and
P.
Yang
,
Nano Lett.
10
,
4279
(
2010
).
35.
J. R.
Sanderocock
,
Solid State Commun.
26
,
547
(
1978
).
36.
J. R.
Sandercock
, in
Light Scattering in Solids III
(
Springer
,
1982
), Vol.
51
, p.
173
.
37.
P.
Mutti
,
C. E.
Bottani
,
G.
Ghislotti
,
M.
Beghi
,
G. A. D.
Briggs
, and
J. R.
Sandercock
, in
Advances in Acoustic Microscopy SE-7
, edited by
A.
Briggs
(
Springer
US
,
1995
), pp.
249
300
.
38.
M.
Beghi
,
A.
Every
, and
P.
Zinin
,
Ultrasonic Nondestructive Evaluation
(
CRC Press
,
2003
).
39.
H.
Onodera
,
I.
Awai
, and
J.
Ikenoue
,
Appl. Opt.
22
,
1194
(
1983
).
40.
E. P.
Pokatilov
,
D. L.
Nika
, and
A. A.
Balandin
,
Phys. Rev. B
72
,
113311
(
2005
).
41.
E. P.
Pokatilov
,
D. L.
Nika
, and
A. A.
Balandin
,
Superlattices Microstruct.
38
,
168
(
2005
).
42.
P. G.
Klemens
, in
Solid State Physics
, edited by
F.
Seitz
and
D.
Turnbull
(
Academic Press
,
New York
,
1958
), p.
1
.
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