An induced nonlinear phase shift of spin waves excited in an yttrium iron garnet film waveguide has been studied. Experiments were performed with two microwave magnonic signals, being operating and pumping waves, co-propagated at different frequencies. The results show that a nonlinear phase shift up to 180° for the low-power operating wave is induced when increasing the pump-wave power. A theory describing the induced nonlinear phase shift is developed taking into account four-wave parametric coupling and nonlinear damping of two waves. The observed phenomenon paves the way to elaborate different types of nonlinear magnonic logic circuits.

1.
A. V.
Chumak
, “
Magnon spintronics: Fundamentals of magnon-based computing
,” in
Spintronics Handbook: Spin Transport and Magnetism
, 2nd ed. (
CRC Press
,
2019
), pp.
247
302
.
2.
A.
Khitun
and
K. L.
Wang
,
Superlattices Microstruct.
38
,
184
(
2005
).
3.
T.
Schneider
,
A. A.
Serga
,
B.
Leven
,
B.
Hillebrands
,
R. L.
Stamps
, and
M. P.
Kostylev
,
Appl. Phys. Lett.
92
,
022505
(
2008
).
4.
A. V.
Chumak
,
A. A.
Serga
, and
B.
Hillebrands
,
Nat. Commun.
5
,
4700
(
2014
).
5.
N.
Kanazawa
,
T.
Goto
,
K.
Sekiguchi
,
A. B.
Granovsky
,
C. A.
Ross
,
H.
Takagi
,
Y.
Nakamura
, and
M.
Inoue
,
Sci. Rep.
6
,
30268
(
2016
).
6.
A. A.
Nikitin
,
A. B.
Ustinov
,
A. A.
Semenov
,
A. V.
Chumak
,
A. A.
Serga
,
V. I.
Vasyuchka
,
E.
Lahderanta
,
B. A.
Kalinikos
, and
B.
Hillebrands
,
Appl. Phys. Lett.
106
,
102405
(
2015
).
7.
N.
Kanazawa
,
T.
Goto
,
K.
Sekiguchi
,
A. B.
Granovsky
,
C. A.
Ross
,
H.
Takagi
,
Y.
Nakamura
,
H.
Uchida
, and
M.
Inoue
,
Sci. Rep.
7
,
7898
(
2017
).
8.
A. B.
Ustinov
and
B. A.
Kalinikos
,
Appl. Phys. Lett.
89
,
172511
(
2006
).
9.
A. B.
Ustinov
and
B. A.
Kalinikos
,
Appl. Phys. Lett.
90
,
252510
(
2007
).
10.
A. B.
Ustinov
and
B. A.
Kalinikos
,
Appl. Phys. Lett.
93
,
102504
(
2008
).
11.
U. H.
Hansen
,
V. E.
Demidov
, and
S. O.
Demokritov
,
Appl. Phys. Lett.
94
,
252502
(
2009
).
12.
B. K.
Kuanr
,
N. R.
Anderson
,
Z. J.
Celinski
, and
R. E.
Camley
,
IEEE Magn. Lett.
6
,
3500304
(
2015
).
13.
A. B.
Ustinov
,
B. A.
Kalinikos
, and
E.
Lähderanta
,
J. Appl. Phys.
113
,
113904
(
2013
).
14.
A. V.
Sadovnikov
,
E. N.
Beginin
,
M. A.
Morozova
,
Y. P.
Sharaevskii
,
S. V.
Grishin
,
S. E.
Sheshukova
, and
S. A.
Nikitov
,
Appl. Phys. Lett.
109
,
042407
(
2016
).
15.
A. V.
Sadovnikov
,
S. A.
Odintsov
,
E. N.
Beginin
,
S. E.
Sheshukova
,
Y. P.
Sharaevskii
, and
S. A.
Nikitov
,
Phys. Rev. B
96
,
144428
(
2017
).
16.
A. B.
Ustinov
,
N. Y.
Grigorèva
, and
B. A.
Kalinikos
,
JETP Lett.
88
,
31
(
2008
).
17.
A. B.
Ustinov
,
B. A.
Kalinikos
,
V. E.
Demidov
, and
S. O.
Demokritov
,
Phys. Rev. B
81
,
180406
(
2010
).
18.
J. W.
Boyle
,
S. A.
Nikitov
,
A. D.
Boardman
, and
K.
Xie
,
J. Magn. Magn. Mater.
173
,
241
(
1997
).
19.
V. E.
Demidov
,
JETP Lett.
68
,
869
(
1998
).
20.
H.
Benner
,
B. A.
Kalinikos
,
N. G.
Kovshikov
, and
M. P.
Kostylev
,
JETP Lett.
72
,
213
(
2000
).
21.
M.
Wu
,
A. M.
Hagerstrom
,
R.
Eykholt
,
A.
Kondrashov
, and
B. A.
Kalinikos
,
Phys. Rev. Lett.
102
,
237203
(
2009
).
22.
Y.
Khivintsev
,
J.
Marsh
,
V.
Zagorodnii
,
I.
Harward
,
J.
Lovejoy
,
P.
Krivosik
,
R. E.
Camley
, and
Z.
Celinski
,
Appl. Phys. Lett.
98
,
042505
(
2011
).
23.
A.
Inglis
,
C. J.
Tock
, and
J. F.
Gregg
,
SN Appl. Sci.
1
,
480
(
2019
).
24.
G. T.
Kazakov
,
A. V.
Kozhevnikov
, and
Y. A.
Filimonov
,
Tech. Phys. Lett.
21
,
558
(
1995
).
25.
G. T.
Kazakov
,
A. V.
Kozhevnikov
, and
Y. A.
Filimonov
,
Phys. Solid State
39
,
288
(
1997
).
26.
G. T.
Kazakov
,
A. V.
Kozhevnikov
, and
Y. A.
Filimonov
,
JETP
88
,
174
(
1999
).
27.
Y. K.
Fetisov
,
Tech. Phys. Lett.
26
,
315
(
2000
).
28.
A. B.
Ustinov
and
B. A.
Kalinikos
,
Tech. Phys. Lett.
27
,
403
(
2001
).
29.
M. M.
Scott
,
C. E.
Patton
,
M. P.
Kostylev
, and
B. A.
Kalinikos
,
J. Appl. Phys.
95
,
6294
(
2004
).
30.
D. D.
Stancil
and
A.
Prabhakar
,
Spin Waves: Theory and Applications
(
Springer
,
2009
).
31.
P.
Pirro
,
T.
Brächer
,
A. V.
Chumak
,
B.
Lägel
,
C.
Dubs
,
O.
Surzhenko
,
P.
Görnert
,
B.
Leven
, and
B.
Hillebrands
,
Appl. Phys. Lett.
104
,
012402
(
2014
).
32.
A. B.
Ustinov
,
A. V.
Drozdovskii
,
A. A.
Nikitin
,
A. A.
Semenov
,
D. A.
Bozhko
,
A. A.
Serga
,
B.
Hillebrands
,
E.
Lähderanta
, and
B. A.
Kalinikos
,
Commun. Phys.
2
,
137
(
2019
).
33.
Q.
Wang
,
M.
Kewenig
,
M.
Schneider
 et al,
Nat. Electron.
3
,
765
(
2020
).
34.
A. B.
Ustinov
,
E.
Lähderanta
,
M.
Inoue
, and
B. A.
Kalinikos
,
IEEE Magn. Lett.
10
,
5508204
(
2019
).
35.
T.
Goto
,
T.
Yoshimoto
,
B.
Iwamoto
,
K.
Shimada
,
C. A.
Ross
,
K.
Sekiguchi
,
A. B.
Granovsky
,
Y.
Nakamura
,
H.
Uchida
, and
M.
Inoue
,
Sci. Rep.
9
,
16472
(
2019
).
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