We investigated electron transport and magnetoresistance (MR) of a nanoparticle system by measuring the vertical transport in heterostructures containing ferromagnetic MnAs nanoparticles and nonmagnetic electrodes. The origin of MR is attributed to the tunneling anisotropic MR (TAMR) of a MnAs nanoparticle because the path of electrons includes only a single ferromagnetic material, and MR shows magnetic-field direction dependence. From the very similar temperature dependence of the intensity of inelastic cotunneling and MR, it is strongly suggested that MR is enhanced by spin-dependent inelastic cotunneling. The temperature dependence of MR is explained by the magnetic energy barrier ETAMR induced by TAMR, and ETAMR is estimated to be ∼0.26 meV.

1.
B.
Dong
,
N. J. M.
Horing
, and
H. L.
Cui
,
Phys. Rev. B
72
,
165326
(
2005
).
2.
H.
Sukegawa
,
S.
Nakamura
,
A.
Hirohata
,
N.
Tezuka
, and
K.
Inomata
,
Phys. Rev. Lett.
94
,
068304
(
2005
).
3.
S.
Takahashi
and
S.
Maekawa
,
Phys. Rev. Lett.
80
,
1758
(
1998
).
4.
D.
Hatanaka
,
S.
Tanabe
,
H.
Kusai
,
R.
Nouchi
,
T.
Nozaki
,
T.
Shinjo
,
Y.
Suzuki
,
H.
Wang
,
K.
Takanashi
, and
M.
Shiraishi
,
Phys. Rev. B
79
,
235402
(
2009
).
5.
S.
Mitani
,
S.
Takahashi
,
K.
Takanashi
,
K.
Yakushiji
,
S.
Maekawa
, and
H.
Fujimori
,
Phys. Rev. Lett.
81
,
2799
(
1998
).
6.
T.
Zhu
and
Y. J.
Wang
,
Phys. Rev. B
60
,
11918
(
1999
).
8.
M.
Yokoyama
,
H.
Yamaguchi
,
T.
Ogawa
, and
M.
Tanaka
,
J. Appl. Phys.
97
,
10D317
(
2005
).
9.
D. V.
Averin
and
Y. V.
Nazarov
,
Phys. Rev. Lett.
65
,
2446
(
1990
).
10.
D. V.
Averin
and
A. A.
Odintsov
,
Phys. Lett. A
140
,
251
(
1989
).
11.
12.
D. J.
Paul
,
J. R. A.
Cleaver
,
H.
Ahmed
, and
T. E.
Whall
,
Phys. Rev. B
49
,
16514
(
1994
).
13.
H.
Grabert
and
M. H.
Devoret
,
Single Charge Tunneling
(
Plenum Press
,
New York
,
1992
), pp.
217
224
.
14.
H.
Matsuoka
and
S.
Kimura
,
Jpn. J. Appl. Phys.
34
,
1326
(
1995
).
15.
C. A.
Neugebauer
and
M. B.
Webb
,
J. Appl. Phys.
33
,
74
(
1962
).
16.
D. L.
Peng
,
K.
Sumiyama
,
S.
Yamamuro
,
T.
Hihara
, and
T. J.
Konno
,
Appl. Phys. Lett.
74
,
76
(
1999
).
17.
C.
Gould
,
C.
Rüster
,
T.
Jungwirth
,
E.
Girgis
,
G. M.
Schott
,
R.
Giraud
,
K.
Brunner
,
G.
Schmidt
, and
L. W.
Molenkamp
,
Phys. Rev. Lett.
93
,
117203
(
2004
).
18.
M.
Ciorga
,
M.
Schlapps
,
A.
Einwanger
,
S.
Geißler
,
J.
Sadowski
,
W.
Wegscheider
, and
D.
Weiss
,
New J. Phys.
9
,
351
(
2007
).
19.
A.
Bernand-Mantel
,
P.
Seneor
,
K.
Bouzehouane
,
S.
Fusil
,
C.
Deranlot
,
F.
Petroff
, and
A.
Fert
,
Nat. Phys.
5
,
920
(
2009
).
20.
K.
Ono
,
H.
Shimada
, and
Y.
Ootuka
,
J. Phys. Soc. Jpn.
66
,
1261
(
1997
).
21.
J. D.
Burton
,
R. F.
Sabirianov
,
J. P.
Velev
,
O. N.
Mryasov
, and
E. Y.
Tsymbal
,
Phys. Rev. B
76
,
144430
(
2007
).
22.
H.
Saito
,
S.
Yuasa
, and
K.
Ando
,
Phys. Rev. Lett.
95
,
086604
(
2005
).
23.
J. S.
Helman
and
B.
Abeles
,
Phys. Rev. Lett.
37
,
1429
(
1976
).
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