We have measured the field-driven velocity of chiral Néel domain walls (DWs) stabilized by the Dzyaloshinskii–Moriya interaction (DMI) in a Pt/Co/Ta/Pt film with perpendicular magnetic anisotropy. A simple model based on the universal creep theory allows us to describe the anisotropic propagation of a DW along the contour of a bubble domain, driven by an out-of-plane field in the presence of a static in-plane field. This model is used to obtain the DMI constant from the measurement of the DW propagation with only one value of the in-plane field, simplifying the existing method relying on several measurements. The DMI constant extracted from the model is in good agreement with independent measurements.
REFERENCES
1.
L.
Berger
, “
Exchange interaction between ferromagnetic domain wall and electric current in very thin metallic films
,” J. Appl. Phys.
55
, 1954
(1984
).2.
I. M.
Miron
,
T.
Moore
,
H.
Szambolics
,
L. D.
Buda-Prejbeanu
,
S.
Auffret
,
B.
Rodmacq
,
S.
Pizzini
,
J.
Vogel
,
M.
Bonfim
,
A.
Schuhl
, and
G.
Gaudin
, “
Fast current-induced domain-wall motion controlled by the Rashba effect
,” Nat. Mater.
10
, 419
(2011
).3.
S.
Emori
,
U.
Bauer
,
S.-M.
Ahn
,
E.
Martinez
, and
G. S. D.
Beach
, “
Current-driven dynamics of chiral ferromagnetic domain walls
,” Nat. Mater.
12
, 611
(2013
).4.
K.-S.
Ryu
,
L.
Thomas
,
S.-H.
Yang
, and
S.
Parkin
, “
Chiral spin torque at magnetic domain walls
,” Nat. Nanotechnol.
8
, 527
(2013
).5.
I.
Dzialoshinskii
, “
Thermodynamic theory of weak ferromagnetism in antiferromagnetic substances
,” Sov. Phys. JETP
5
, 1259
(1957
).6.
T.
Moriya
, “
Anisotropic superexchange interaction and weak ferromagnetism
,” Phys. Rev.
120
, 91
(1960
).7.
H. T.
Nembach
,
J. M.
Shaw
,
M.
Weiler
,
E.
Jué
, and
T. J.
Silva
, “
Linear relation between Heisenberg exchange and interfacial Dzyaloshinskii–Moriya interaction in metal films
,” Nat. Phys.
11
, 825
(2015
).8.
K.
Di
,
V. L.
Zhang
,
H. S.
Lim
,
S. C.
Ng
,
M. H.
Kuok
,
J.
Yu
,
J.
Yoon
,
X.
Qiu
, and
H.
Yang
, “
Direct observation of the Dzyaloshinskii-Moriya interaction in a Pt/Co/Ni film
,” Phys. Rev. Lett.
114
, 047201
(2015
).9.
S.-G.
Je
,
D.-H.
Kim
,
S.-C.
Yoo
,
B.-C.
Min
,
K.-J.
Lee
, and
S.-B.
Choe
, “
Asymmetric magnetic domain-wall motion by the Dzyaloshinskii-Moriya interaction
,” Phys. Rev. B
88
, 214401
(2013
).10.
D. M. F.
Hartmann
,
R. A.
Duine
,
M. J.
Meijer
,
H. J. M.
Swagten
, and
R.
Lavrijsen
, “
Creep of chiral domain walls
,” Phys. Rev. B
100
, 094417
(2019
).11.
A.
Thiaville
and
Y.
Nakatani
, “
Domain-wall dynamics in nanowiresand nanostrips
,” in Spin Dynamics in Confined Magnetic Structures III, Topics in Applied Physics
, edited by
B.
Hillebrands
and
A.
Thiaville
(
Springer
,
Berlin, Heidelberg
, 2006
), pp. 161
–205
.12.
S.
Lemerle
,
J.
Ferré
,
C.
Chappert
,
V.
Mathet
,
T.
Giamarchi
, and
P.
Le Doussal
, “
Domain wall creep in an Ising ultrathin magnetic film
,” Phys. Rev. Lett.
80
, 849
(1998
).13.
V.
Jeudy
,
A.
Mougin
,
S.
Bustingorry
,
W.
Savero Torres
,
J.
Gorchon
,
A. B.
Kolton
,
A.
Lemaître
, and
J.-P.
Jamet
, “
Universal pinning energy barrier for driven domain walls in thin ferromagnetic films
,” Phys. Rev. Lett.
117
, 057201
(2016
).14.
V.
Jeudy
,
R.
Díaz Pardo
,
W.
Savero Torres
,
S.
Bustingorry
, and
A. B.
Kolton
, “
Pinning of domain walls in thin ferromagnetic films
,” Phys. Rev. B
98
, 054406
(2018
).15.
A.
Thiaville
,
S.
Rohart
,
É.
Jué
,
V.
Cros
, and
A.
Fert
, “
Dynamics of Dzyaloshinskii domain walls in ultrathin magnetic films
,” Europhys. Lett.
100
, 57002
(2012
).16.
M.
Heide
,
G.
Bihlmayer
, and
S.
Blügel
, “
Dzyaloshinskii-Moriya interaction accounting for the orientation of magnetic domains in ultrathin films: Fe/W(110)
,” Phys. Rev. B
78
, 140403
(2008
).17.
J. P.
Pellegren
,
D.
Lau
, and
V.
Sokalski
, “
Dispersive stiffness of Dzyaloshinskii domain walls
,” Phys. Rev. Lett.
119
, 027203
(2017
).18.
J. P.
Garcia
,
A.
Fassatoui
,
M.
Bonfim
,
J.
Vogel
,
A.
Thiaville
, and
S.
Pizzini
, “
Magnetic domain wall dynamics in the precessional regime: Influence of the Dzyaloshinskii-Moriya interaction
,” Phys. Rev. B
104
, 014405
(2021
).19.
I.
Culjak
,
D.
Abram
,
T.
Pribanic
,
H.
Dzapo
, and
M.
Cifrek
, “
A brief introduction to OpenCV
,” in Proceedings of the 35th International Convention MIPRO
(
IEEE
, 2012
), pp. 1725
–1730
.20.
M.
Kuepferling
,
A.
Casiraghi
,
G.
Soares
,
G.
Durin
,
F.
Garcia-Sanchez
,
L.
Chen
,
C. H.
Back
,
C. H.
Marrows
,
S.
Tacchi
, and
G.
Carlotti
, “
Measuring interfacial Dzyaloshinskii-Moriya interaction in ultrathin magnetic films
,” Rev. Mod. Phys.
95
, 015003
(2023
).© 2024 Author(s). Published under an exclusive license by AIP Publishing.
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