We present a theoretical investigation of magnetostatic interaction effects in geometrically frustrated arrays of anisotropic one-layer and multilayer ferromagnetic nanoparticles arranged in different spatially configured systems with triangular symmetry. The peculiarities of the magnetization reversal and microwave excitation of such systems are discussed. We show that the use of multilayer stacks significantly expands the opportunities to create magnetically frustrated systems due to additional interlayer interaction. In particular, the interlayer coupling leads to the considerable splitting of the ferromagnetic resonance (FMR) spectrum. In addition, the magnetizing and remagnetizing of the two- and three-layer systems induce transitions between different states with ferromagnetic, antiferromagnetic, or mixed ferromagnetic-antiferromagnetic interlayer ordering that are accompanied by dramatic changes of FMR spectra. These effects can be potentially used in developing field controlled tunable microwave devices.

1.
R. F.
Wang
,
C.
Nisoli
,
R. S.
Freitas
,
J.
Li
,
W.
McConville
,
B. J.
Cooley
,
M. S.
Lund
,
N.
Samarth
,
C.
Leighton
,
V. H.
Crespi
, and
P.
Schiffer
,
Nature
439
,
303
(
2006
).
2.
C.
Nisoli
,
R.
Wang
,
J.
Li
,
W. F.
McConville
,
P. E.
Lammert
,
P.
Schiffer
, and
V. H.
Crespi
,
Phys. Rev. Lett.
98
,
217203
(
2007
).
3.
A.
Remhof
,
A.
Schumann
,
A.
Westphalen
,
H.
Zabel
,
N.
Mikuszeit
,
E. Y.
Vedmedenko
,
T.
Last
, and
U.
Kunze
, “
Magnetostatic interactions on a square lattice
,”
Phys. Rev. B
77
,
134409
(
2008
).
4.
M.
Tanaka
,
E.
Saitoh
,
H.
Miyajima
,
T.
Yamaoka
, and
Y.
Iye
,
Phys. Rev. B
73
,
052411
(
2006
).
5.
Y.
Qi
,
T.
Brintlinger
, and
J.
Cumings
,
Phys. Rev. B
77
,
094418
(
2008
).
6.
S.
Zhang
,
I.
Gilbert
,
C.
Nisoli
,
G.-W.
Chern
,
M. J.
Erickson
,
L.
O'Brien
,
C.
Leighton
,
P. E.
Lammert
,
V. H.
Crespi
, and
P.
Schiffer
,
Nature
500
,
553
(
2013
).
7.
C.
Nisoli
,
J.
Li
,
X.
Ke
,
D.
Garand
,
P.
Schiffer
, and
V. H.
Crespi
,
Phys. Rev. Lett.
105
,
047205
(
2010
).
8.
U. B.
Arnalds
,
A.
Farhan
,
R. V.
Chopdekar
,
V.
Kapaklis
,
A.
Balan
,
E.
Th. Papaioannou
,
M.
Ahlberg
,
F.
Nolting
,
L. J.
Heyderman
, and
B.
Hjörvarsson
,
Appl. Phys. Lett.
101
,
112404
(
2012
).
9.
A.
Schumann
,
B.
Sothmann
,
P.
Szary
, and
H.
Zabel
,
Appl. Phys. Lett.
97
,
022509
(
2010
).
10.
G.
Möller
and
R.
Moessner
,
Phys. Rev. B
80
,
140409
(
2009
).
11.
G.-W.
Chern
,
P.
Mellado
, and
O.
Tchernyshyov
,
Phys. Rev. Lett.
106
,
207202
(
2011
).
12.
L. A. S.
Mol
,
A. R.
Pereira
, and
W. A.
Moura-Melo
,
Phys. Rev. B
85
,
184410
(
2012
).
13.
J. H.
Rodrigues
,
L. A. S.
Mol
,
W. A.
Moura-Melo
, and
A. R.
Pereira
,
Appl. Phys. Lett.
103
,
092403
(
2013
).
14.
V. L.
Mironov
,
O. L.
Ermolaeva
,
E. V.
Skorokhodov
, and
J. A.
Blackman
,
Bull. Russ. Acad. Sci. Phys.
77
(
1
),
32
(
2013
).
15.
S.
Zhang
,
J.
Li
,
J.
Bartell
,
X.
Ke
,
C.
Nisoli
,
P. E.
Lammert
,
V. H.
Crespi
, and
P.
Schiffer
,
Phys. Rev. Lett.
107
,
117204
(
2011
).
16.
J.
Li
,
X.
Ke
,
S.
Zhang
,
D.
Garand
,
C.
Nisoli
,
P.
Lammert
,
V. H.
Crespi
, and
P.
Schiffer
,
Phys. Rev. B
81
,
092406
(
2010
).
17.
M. J.
Morrison
,
T. R.
Nelson
, and
C.
Nisoli
,
New J. Phys.
15
,
045009
(
2013
).
18.
G.-W.
Chern
,
M. J.
Morrison
, and
C.
Nisoli
,
Phys. Rev. Lett.
111
,
177201
(
2013
).
19.
P. E.
Lammert
,
X.
Ke
,
J.
Li
,
K.
Nissoli
,
D. M.
Garand
,
V. H.
Crespi
, and
P.
Schiffer
,
Nat. Phys.
6
,
786
(
2010
).
20.
J. M.
Porro
,
A.
Bedoya-Pinto
,
A.
Berger
, and
P.
Vavassori
,
New J. Phys.
15
,
055012
(
2013
).
21.
S.
Ladak
,
D. E.
Read
,
G. K.
Perkins
,
L. F.
Cohen
, and
W. R.
Branford
,
Nat. Phys.
6
,
359
(
2010
).
22.
E.
Mengotti
,
L. J.
Heyderman
,
A. F.
Rodríguez
,
F.
Nolting
,
R. V.
Hügli
, and
H.-B.
Braun
,
Nat. Phys.
7
,
68
(
2011
).
23.
G.
Möller
and
R.
Moessner
,
Phys. Rev. Lett.
96
,
237202
(
2006
).
24.
G.-W.
Chern
,
C.
Reichhardt
, and
C.
Nisoli
,
Appl. Phys. Lett.
104
,
013101
(
2014
).
25.
A.
Butera
,
Eur. Phys. J. B
52
,
297
303
(
2006
).
26.
C.
Forestiere
,
G.
Miano
,
C.
Serpico
,
M.
d'Aquino
, and
L.
Dal Negro
,
Phys. Rev. B
79
,
214419
(
2009
).
27.
S.
Jain
,
M.
Kostylev
, and
A. O.
Adeyeye
,
Phys. Rev. B
82
,
214422
(
2010
).
28.
N.
Kuhlmann
,
A.
Vogel
, and
G.
Meier
,
Phys. Rev. B
85
,
014410
(
2012
).
29.
H.
Zhang
,
A.
Hoffmann
,
R.
Divan
, and
P.
Wang
,
Appl. Phys. Lett.
95
,
232503
(
2009
).
30.
J.
De La Torre Medina
,
L.
Piraux
, and
A.
Encinas
,
Appl. Phys. Lett.
96
,
042504
(
2010
).
31.
J. S.
Zhang
,
R. L.
Zhang
,
Q.
Hu
,
R. H.
Fan
, and
R. W.
Peng
,
J. Appl. Phys.
109
,
07A305
(
2011
), available at http://scitation.aip.org/content/aip/journal/jap/109/7/10.1063/1.3535440.
32.
A.
Westphalen
,
A.
Schumann
,
A.
Remhof
,
H.
Zabel
,
M.
Karolak
,
B.
Baxevanis
,
E. Y.
Vedmedenko
,
T.
Last
,
U.
Kunze
, and
T.
Eimuller
,
Phys. Rev. B
77
,
174407
(
2008
).
33.
E.
Mengotti
,
L. J.
Heyderman
,
A.
Bisig
,
A.
Fraile Rodriguez
,
L.
Le Guyader
,
F.
Nolting
, and
H. B.
Braun
,
J. Appl. Phys.
105
,
113113
(
2009
).
34.
A. A.
Fraerman
,
B. A.
Gribkov
,
S. A.
Gusev
,
A.
Yu. Klimov
,
V. L.
Mironov
,
D. S.
Nikitushkin
,
V. V.
Rogov
,
S. N.
Vdovichev
,
B.
Hjörvarsson
, and
H.
Zabel
,
J. Appl. Phys.
103
,
073916
(
2008
).
35.
R.
Adam
,
Yu.
Khivintsev
,
R.
Hertel
,
C.
Schneider
,
A.
Hutchison
,
R.
Camley
, and
Z.
Celinski
,
J. Appl. Phys.
101
,
09F516
(
2007
).
36.
V. V.
Kruglyak
,
P. S.
Keatley
,
A.
Neudert
,
R. J.
Hicken
,
J. R.
Childress
, and
J. A.
Katine
,
Phys. Rev. Lett.
104
,
027201
(
2010
).
You do not currently have access to this content.