Modulation of an oscillator is crucial for its application in communication devices. While the output power and linewidth of single magnetic tunnel junction-based spin-torque oscillators (MTJ-STO) are not yet adequate for practical uses, the synchronization of such devices can overcome these limitations. Here, we investigate the modulation behavior of a parametrically synchronized MTJ-STO and show experimentally that modulation of the synchronized state preserves synchronization as long as the modulation frequency, fmod, is above a characteristic frequency, funlock. The unlocking frequency increases with the modulation amplitude in agreement with analytical estimates and numerical simulations. These phenomena are described as a non-resonant unlocking mechanism, whose characteristics are directly related to inherent parameters of the oscillator.

1.
J. C.
Slonczewski
,
J. Magn. Magn. Mater.
159
,
L1
(
1996
).
2.
3.
M.
Tsoi
,
A. G. M.
Jansen
,
J.
Bass
,
W.-C.
Chiang
,
V.
Tsoi
, and
P.
Wyder
,
Nature
406
,
46
(
2000
).
4.
S. I.
Kiselev
,
J. C.
Sankey
,
I. N.
Krivorotov
,
N. C.
Emley
,
R. J.
Schoelkopf
,
R. A.
Buhrman
, and
D. C.
Ralph
,
Nature
425
,
380
(
2003
).
5.
A. M.
Deac
,
A.
Fukushima
,
H.
Kubota
,
H.
Maehara
,
Y.
Suzuki
,
S.
Yuasa
,
Y.
Nagamine
,
K.
Tsunekawa
,
D. D.
Djayaprawira
, and
N.
Watanabe
,
Nat. Phys.
4
,
803
(
2008
).
6.
A. V.
Nazarov
,
H. M.
Olson
,
H.
Cho
,
K.
Nikolaev
,
Z.
Gao
,
S.
Stokes
, and
B. B.
Pant
,
Appl. Phys. Lett.
88
,
162504
(
2006
).
7.
A. A.
Tulapurkar
,
Y.
Suzuki
,
A.
Fukushima
,
H.
Kubota
,
H.
Maehara
,
K.
Tsunekawa
,
D. D.
Djayaprawira
,
N.
Watanabe
, and
S.
Yuasa
,
Nature
438
,
339
(
2005
).
8.
J. C.
Sankey
,
Y.-T.
Cui
,
J. Z.
Sun
,
J. C.
Slonczewski
,
R. A.
Buhrman
, and
D. C.
Ralph
,
Nat. Phys.
4
,
67
(
2008
).
9.
O. G.
Heinonen
,
Phys. Rev. B
81
,
054405
(
2010
).
10.
S.
Oh
,
S.
Park
,
A.
Manchon
,
M.
Chshiev
,
J.
Han
,
H.
Lee
,
J.
Lee
,
K.
Nam
,
Y.
Jo
,
Y.
Kong
,
B.
Dieny
, and
K.
Lee
,
Nat. Phys.
5
,
898
(
2009
).
11.
S.
Urazhdin
,
V.
Tiberkevich
, and
A.
Slavin
,
Phys. Rev. Lett.
105
,
237204
(
2010
).
12.
M.
Quinsat
,
D.
Gusakova
,
J. F.
Sierra
,
J. P.
Michel
,
D.
Houssameddine
,
B.
Delaet
,
M.-C.
Cyrille
,
U.
Ebels
,
B.
Dieny
,
L. D.
Buda-Prejbeanu
,
J. A.
Katine
,
D.
Mauri
,
A.
Zeltser
,
M.
Prigent
,
J.-C.
Nallatamby
, and
R.
Sommet
,
Appl. Phys. Lett.
97
,
182507
(
2010
).
13.
P.
Dürrenfeld
,
E.
Iacocca
,
J.
Åkerman
, and
P. K.
Muduli
,
Appl. Phys. Lett.
104
,
052410
(
2014
).
14.
A.
Slavin
and
V.
Tiberkevich
,
IEEE Trans. Magn.
45
,
1875
(
2009
).
15.
G.
Consolo
,
V.
Puliafito
,
L.
Lopez-Diaz
,
F.
Nizzoli
,
L.
Giovannini
,
G.
Valenti
, and
B.
Azzerboni
,
IEEE Trans. Magn.
46
,
3629
(
2010
).
16.
E.
Iacocca
and
J.
Åkerman
,
Phys. Rev. B
85
,
184420
(
2012
).
17.
M. R.
Pufall
,
W. H.
Rippard
,
S.
Kaka
,
T. J.
Silva
, and
S. E.
Russek
,
Appl. Phys. Lett.
86
,
082506
(
2005
).
18.
P. K.
Muduli
,
Y.
Pogoryelov
,
S.
Bonetti
,
G.
Consolo
,
F.
Mancoff
, and
J.
Åkerman
,
Phys. Rev. B
81
,
140408
(
2010
).
19.
Y.
Pogoryelov
,
P. K.
Muduli
,
S.
Bonetti
,
E.
Iacocca
,
F.
Mancoff
, and
J.
Åkerman
,
Appl. Phys. Lett.
98
,
192501
(
2011
).
20.
E.
Iacocca
and
J.
Åkerman
,
Phys. Rev. B
87
,
214428
(
2013
).
21.
P. K.
Muduli
,
O. G.
Heinonen
, and
J.
Åkerman
,
Phys. Rev. B
83
,
184410
(
2011
).
22.
P. K.
Muduli
,
O. G.
Heinonen
, and
J.
Åkerman
,
J. Appl. Phys.
110
,
076102
(
2011
).
23.
P. K.
Muduli
,
O. G.
Heinonen
, and
J.
Åkerman
,
Phys. Rev. Lett.
108
,
207203
(
2012
).
24.
Y.
Zhou
,
V.
Tiberkevich
,
G.
Consolo
,
E.
Iacocca
,
B.
Azzerboni
,
A.
Slavin
, and
J.
Åkerman
,
Phys. Rev. B
82
,
012408
(
2010
).
25.
W.
Rippard
,
M.
Pufall
, and
A.
Kos
,
Appl. Phys. Lett.
103
,
182403
(
2013
).
26.
A.
Pikovsky
,
M.
Rosenblum
, and
J.
Kurths
,
Synchronization: A Universal Concept in Nonlinear Sciences
(
Cambridge University Press
,
2001
).
27.
E.
Iacocca
,
O.
Heinonen
,
P. K.
Muduli
, and
J.
Åkerman
,
Phys. Rev. B
89
,
054402
(
2014
).
28.
V.
Tiberkevich
and
A.
Slavin
,
Phys. Rev. B
75
,
014440
(
2007
).
29.
E.
Iacocca
and
J.
Åkerman
,
J. Appl. Phys.
110
,
103910
(
2011
).
30.
O.
Heinonen
,
Y.
Zhou
, and
D.
Li
, “
Mode coupling in spin torque oscillators
,” preprint arXiv:1310.6791 [cond-mat.mes-hall] (
2013
).
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