The flexoelectric effect in dielectric materials generates an electric polarization as a result of strain gradient. Here, we show that the flexoelectric response also produces a flexocaloric adiabatic temperature variation in heteroepitaxial ferroelectric films that are either partially or completely relaxed. The flexocaloric temperature change of (001) BaTiO3 films on (001) SrTiO3 substrates is computed as a function of film thickness and temperature. Our calculations predict that a built-in flexocaloric temperature change of 0.61 °C can be realized in 20 nm thick epitaxial BaTiO3 films when compared with the intrinsic electrocaloric response of 0.75 °C for bulk, single-crystal BaTiO3 at 25 °C and applied electric field of 200 kV/cm. This demonstrates that the flexocaloric response can supplement electrocaloric temperature changes in thin film ferroelectrics and may play an important role in potential applications in on-chip solid-state cooling.

1.
V. L.
Indenbom
,
E. B.
Loginov
, and
M. A.
Osipov
,
Kristallografiya
26
(
6
),
1157
(
1981
).
2.
R. B.
Meyer
,
Phys. Rev. Lett.
22
(
18
),
918
(
1969
).
3.
P.
Zubko
,
G.
Catalan
, and
A. K.
Tagantsev
,
Ann. Rev. Mater. Res.
43
,
387
(
2013
).
4.
A. K.
Tagantsev
,
Phys. Rev. B
34
(
8
),
5883
(
1986
).
5.
A. S.
Starkov
and
I. A.
Starkov
,
Int. J. Solids Struct.
82
,
65
(
2016
).
6.
L. E.
Cross
,
Frontiers of Ferroelectricity
(
Springer
,
2006
), p.
53
.
7.
J.
Hong
and
D.
Vanderbilt
,
Phys. Rev. B
88
(
17
),
174107
(
2013
).
8.
W.
Ma
,
Phys. Status Solidi B
245
(
4
),
761
(
2008
).
9.
X.
Jiang
,
W.
Huang
, and
S.
Zhang
,
Nano Energy
2
(
6
),
1079
(
2013
).
10.
D.
Lee
,
A.
Yoon
,
S. Y.
Jang
,
J.-G.
Yoon
,
J.-S.
Chung
,
M.
Kim
,
J. F.
Scott
, and
T. W.
Noh
,
Phys. Rev. Lett.
107
(
5
),
057602
(
2011
).
11.
Y.
Qi
,
J.
Kim
,
T. D.
Nguyen
,
B.
Lisko
,
P. K.
Purohit
, and
M. C.
McAlpine
,
Nano Lett.
11
(
3
),
1331
(
2011
).
12.
L. E.
Cross
,
J. Mater. Sci.
41
(
1
),
53
(
2006
).
13.
W.
Ma
and
L. E.
Cross
,
Appl. Phys. Lett.
86
(
7
),
072905
(
2005
).
14.
W.
Ma
and
L. E.
Cross
,
Appl. Phys. Lett.
78
(
19
),
2920
(
2001
).
15.
H.-A.
Chin
,
S.
Mao
,
C.-T.
Huang
,
K. K.
Ohemeng
,
S.
Wagner
,
P. K.
Purohit
, and
M. C.
McAlpine
,
Extreme Mech. Lett.
2
,
20
(
2015
).
16.
D.
Lee
and
T. W.
Noh
,
Philos. Trans. R. Soc. London, A
370
(
1977
),
4944
(
2012
).
17.
T. D.
Nguyen
,
S.
Mao
,
Y. ‐W.
Yeh
,
P. K.
Purohit
, and
M. C.
McAlpine
,
Adv. Mater.
25
(
7
),
946
(
2013
).
18.
P.
Zubko
,
G.
Catalan
,
A.
Buckley
,
P.
Welche
, and
J. F.
Scott
,
Phys. Rev. Lett.
99
(
16
),
167601
(
2007
).
19.
J.
Wang
,
J. B.
Neaton
,
H.
Zheng
,
V.
Nagarajan
,
S. B.
Ogale
,
B.
Liu
,
D.
Viehland
,
V.
Vaithyanathan
,
D. G.
Schlom
, and
U. V.
Waghmare
,
Science
299
(
5613
),
1719
(
2003
).
20.
N.
Khakpash
,
H.
Khassaf
,
G. A.
Rossetti
, Jr.
, and
S. P.
Alpay
,
Appl. Phys. Lett.
106
(
8
),
082905
(
2015
).
21.
G.
Catalan
,
B.
Noheda
,
J.
McAneney
,
L. J.
Sinnamon
, and
J. M.
Gregg
,
Phys. Rev. B
72
(
2
),
020102
(
2005
).
22.
H.
Khassaf
,
N.
Khakpash
,
F.
Sun
,
N. M.
Sbrockey
,
G. S.
Tompa
,
T. S.
Kalkur
, and
S. P.
Alpay
,
Appl. Phys. Lett.
104
(
20
),
202902
(
2014
).
23.
F.
Sun
,
H.
Khassaf
, and
S. P.
Alpay
,
J. Mater. Sci.
49
(
17
),
5978
(
2014
).
24.
G.
Catalan
,
L. J.
Sinnamon
, and
J. M.
Gregg
,
J. Phys.: Condens. Mater.
16
(
13
),
2253
(
2004
).
25.
S. P.
Alpay
,
I. B.
Misirlioglu
,
V.
Nagarajan
, and
R.
Ramesh
,
Appl. Phys. Lett.
85
(
11
),
2044
(
2004
).
26.
J. W.
Matthews
and
A. E.
Blakeslee
,
J. Cryst. Growth
27
,
118
(
1974
).
27.
S.
Stemmer
,
S. K.
Streiffer
,
F.
Ernst
, and
M.
Rühle
,
Phys. Status Solidi A
147
(
1
),
135
(
1995
).
28.
K. J.
Choi
,
M.
Biegalski
,
Y. L.
Li
,
A.
Sharan
,
J.
Schubert
,
R.
Uecker
,
P.
Reiche
,
Y. B.
Chen
,
X. Q.
Pan
, and
V.
Gopalan
,
Science
306
(
5698
),
1005
(
2004
).
29.
V.
Nagarajan
,
C. L.
Jia
,
H.
Kohlstedt
,
R.
Waser
,
I. B.
Misirlioglu
,
S. P.
Alpay
, and
R.
Ramesh
,
Appl. Phys. Lett.
86
(
19
),
192910
(
2005
).
30.
J.-L.
Maurice
,
F.
Pailloux
,
A.
Barthélémy
,
O.
Durand
,
D.
Imhoff
,
R.
Lyonnet
,
A.
Rocher
, and
J.-P.
Contour
,
Philos. Mag.
83
(
28
),
3201
(
2003
).
31.
L. C.
Zhang
,
A. L.
Vasiliev
,
I. B.
Misirlioglu
,
R.
Ramesh
,
S. P.
Alpay
, and
M.
Aindow
,
Appl. Phys. Lett.
93
(
26
),
262903
(
2008
).
32.
H.
Khassaf
,
T.
Patel
, and
S. P.
Alpay
,
J. Appl. Phys.
121
(
14
),
144102
(
2017
).
33.
Y.
Liu
,
G.
Zhang
,
Q.
Li
,
L.
Bellaiche
,
J. F.
Scott
,
B.
Dkhil
, and
Q.
Wang
,
Phys. Rev. B
94
(
21
),
214113
(
2016
).
34.
I.
Takeuchi
and
K.
Sandeman
,
Phys. Today
68
(
12
),
48
54
(
2015
).
35.
S. P.
Alpay
,
J. V.
Mantese
,
S.
Trolier-McKinstry
,
Q.
Zhang
, and
R. W.
Whatmore
,
MRS Bull.
39
(
12
),
1099
1111
(
2014
).
36.
S.
Patel
,
A.
Chauhan
,
J.
Cuozzo
,
S.
Lisenkov
,
I.
Ponomareva
, and
R.
Vaish
,
App. Phys. Lett.
108
(
16
),
162901
(
2016
).
37.
S.‐G.
Lu
and
Q.
Zhang
,
Adv. Mater.
21
(
19
),
1983
(
2009
).
38.
S.
Lisenkov
,
B. K.
Mani
,
C.-M.
Chang
,
J.
Almand
, and
I.
Ponomareva
,
Phys. Rev. B
87
(
22
),
224101
(
2013
).
39.
Y.
Liu
,
I. C.
Infante
,
X.
Lou
,
L.
Bellaiche
,
J. F.
Scott
, and
B.
Dkhil
,
Adv. Mater.
26
(
35
),
6132
(
2014
).
40.
A. S.
Mischenko
,
Q.
Zhang
,
J. F.
Scott
,
R. W.
Whatmore
, and
N. D.
Mathur
,
Science
311
(
5765
),
1270
(
2006
).
41.
Q. Y.
Qiu
,
V.
Nagarajan
, and
S. P.
Alpay
,
Phys. Rev. B
78
(
6
),
064117
(
2008
).
42.
J. S.
Speck
and
W.
Pompe
,
J. Appl. Phys.
76
(
1
),
466
(
1994
).
43.
L.
Nicola
,
Y.
Xiang
,
J. J.
Vlassak
,
E.
Van der Giessen
, and
A.
Needleman
,
J. Mech. Phys. Solids
54
(
10
),
2089
(
2006
).
44.
L.
Nicola
,
E.
Van der Giessen
, and
M. E.
Gurtin
,
J. Mech. Phys. Solids
53
(
6
),
1280
(
2005
).
45.
Y. Y.
Liu
,
L.
Yang
, and
J. Y.
Li
,
J. Appl. Phys.
113
(
18
),
183524
(
2013
).
46.
Y. Y.
Liu
,
Z. X.
Zhu
,
J. F.
Li
, and
J. Y.
Li
,
Mech. Mater.
42
(
8
),
816
826
(
2010
).
47.
R.
Pirc
,
Z.
Kutnjak
,
R.
Blinc
, and
Q. M.
Zhang
,
J. Appl. Phys.
110
,
074113
(
2011
).
48.
J. P.
Hirth
and
J.
Lothe
,
Theory of Dislocations
(
Wiley & Sons
,
New York
,
1982
).
49.
D. G.
Schlom
,
L.-Q.
Chen
,
C.-B.
Eom
,
K. M.
Rabe
,
S. K.
Streiffer
, and
J.-M.
Triscone
,
Annu. Rev. Mater. Res.
37
,
589
(
2007
).
50.
N. A.
Pertsev
,
A. G.
Zembilgotov
, and
A. K.
Tagantsev
,
Phys. Rev. Lett.
80
(
9
),
1988
(
1998
).
51.
S. P.
Alpay
,
I. B.
Misirlioglu
,
A.
Sharma
, and
Z.-G.
Ban
,
J. Appl. Phys.
95
(
12
),
8118
(
2004
).
52.
F.
Jin
,
G. W.
Auner
,
R.
Naik
,
N. W.
Schubring
,
J. V.
Mantese
,
A. B.
Catalan
, and
A. L.
Micheli
,
Appl. Phys. Lett.
73
(
19
),
2838
(
1998
).
53.
H.
Khassaf
,
J. V.
Mantese
,
N.
Bassiri-Gharb
,
Z.
Kutnjak
, and
S. P.
Alpay
,
J. Mater. Chem. C
4
(
21
),
4763
(
2016
).
You do not currently have access to this content.