Stromgetriebene Domänenwand-Bewegung
Z. Li and S. Zhang, PRL 93,127204 (2005)
B. Krüger et al., PRB 75, 054421 (2007)
precessional
term
damping
term
( ) ( )( ) ( ) ( )MjMM
bMjMM
M
b)HM(M
M
αγHM
dt
Md
s
j
s
j
eff
S
eff
rrrrrrrrrrrrrrrr
∇⋅×−+
−∇⋅××++
−
××+×
+−= αξ
ααξ
αγ
α 222 1
11
1
1
1
1
motion term distortion term
G. Tatara
sf
ex
τ
τξ = degree of nonadiabaticity)1( 2ξ
µ
+=
S
Bj
eM
Pb Current coupling parameter
current pulse (e-)
a. What is the velocity of domain walls?
Hayashi et al. PRL 98
037204 (2007)
Time resolved resistance measurementwith a digital sampling oscilloscope
110 m/s
Kläui et al. PRL 95
026601 (2005)
SEMPA0.3 m/s
Meier et al. PRL 98
187202 (2007)
Magnetic transmission x-ray microscopy110 m/s
Yamaguchi
et al. PRL 92
077205 (2004)
Magnetic-force microscopy3 m/s
Tatara, KohnoPRL 92
086601 (2004)
theoretical~ 250 m/s
Zhang, Li PRL 93
127204 (2004)
theoretical6-60 m/s
switched area per pulse
Current-induced domain-wallvelocity
Permalloy ring: width 1000 nm, thickness 60 nm
1.2 ns
t
V
Extremely short pulses
Investigation of stochastic domain-wall motion
P(A)~e-τ
PRL 98, 187202 (2007)
Domain-Wall motion
~ 100 m/s
Distortion
(Vortex-Antivortex Generation)
τ ~ 0.9 ± 0.2
e-1 µm
simulation parameters
• ξ = 0.01
• α = 0.01
• j=1.0 x 1012 A/m²
b. Free oscillation of a domain wall in a constriction
Micromagnetic simulation
of the static magnetization
50 µm 20 µm
Soft x-ray image
1 µm
Time resolved observation of
current induced domain-wall motion
L. Bocklage, R. Eiselt, M. Bolte, B. Krüger, P. Fischer, and G. Meier,
“Time-resolved x-ray microscopy of current-induced domain-wall oscillations”, in preparation
Time resolved observation of
current induced domain-wall oscillationDW motion determined from soft x-ray images
FFT of free oscillation
( ) ( ) ( )0
0 cos tteatftt −⋅= −Γ− ω
Initial amplitude : a = 125 nm
• Damping parameter: Γ = 0.554 GHz
• Frequency of free oscillation:
ω = 3.60 GHz
(υ = 573 MHz)
• Time zero: t0 = 1.85 ns
Parameters
Domain-wall velocity
vmax = 325 m/s
1.1 ns
2.2 ns
3.3 ns
Different pulse lengths