Magnetism
10. Interlayer Exchange Coupling
thin film growth: molecular beam epitaxy
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growth of ultrathin metallic layers under ultrahigh vacuum conditionsWinter 08/09 Magnetism
homoepitaxy: Fe on Fe(001)
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growth depends on temperature•
lower temperaturecauses higher roughness (smaller islands)
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layer-by-layer growth reveals perfect RHEED oscillations•
there is always a residual roughness – imperfect growth1986 – first step to Nobel Prize
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BLS Setup
Phenomenology of Magnetic Interlayer Coupling
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Typical hysteresis loops for different types of
Domain patterns in Fe/Cr/Fe
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Measurement of spin-wave or magnons by BLS
Spin-waves (magnons) of a single layer
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Spin-waves in a coupled, parallel aligned trilayer
Spin-waves in a coupled, antiparallel aligned trilayer
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Example: BLS data of Fe / Al / Fe(001) trilayers
SEMPA
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SEMPA: Magnetic domain imaging•
direct observation of the coupling•
oscillation of coupling direction with film thickness•
quantized electronic states in the Cr filmJ. Unguris et al., Phys. Rev. Lett. 67, 140 (1991)
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Phenomenological description
Typical bilinear coupling strengths
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First simple explanation: RKKY-oscillations
RKKY-model
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RKKY-model
Quantum interference model for bilinear coupling
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What is the origin of spin-dependent reflectivity?
QWS
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QWS
Aliasing (or backfolding into first Brillouin zone)
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Which k are important?
Example Fe / Au / Fe(001)
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Fe(001) surface states
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Photoelectron spectroscopy to study the electronic structure in the ferromagnetQuantum well states (inverse photoemission)
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Quantum well states in Co/Cu
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multiple quantum well states formed in the Cu bandstructure
Electronic structure Co/Cu
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Fermi surfaces of Cu and Co↑ match closely, if lattice deformation in multilayers is taken into account0 0,2 0,4
0,6 0,8
1
Co(001)
-5 -4 -3 -2 -1 0 1 2
k value
-5 -4 -3 -2 -1 0 1 2
0 0,2 0,4 0,6 0,8 1
Cu(001)
energy [eV]
k-value
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Transfer of magnetic moments
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XMCD measurement on Co/Cu multilayers and alloys•
Proximity of Co and Cu at the interface leads to transfer of magnetic moment•
First Cu monolayer is “magnetic”with different contributions in sp- and d-states
spin density
Co (2)
Co (1)
Cu (2)
Cu (1)
Cu (C)
µCo=1.50µB µCu=0.02µB µCo=1.85 µB
Co/Cu: A model system
0 1 2 3 4
tCu [nm]
0 50 100
1. afm-max.
2. afm-max.
3. afm-max.
T=4.2 K ο RT
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★perfect layer structure within grains
★{111} texturized grains
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Fluctuation mechanism
Magnetic dipole mechanism
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Magnetic dipole mechanism
Influence of interface roughness
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Influence of interfacial roughness: Fe/Cr/Fe
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combinatorial approach – domain imaging w/ SEMPA•
short coupling periodappears only for smooth interfaces
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growth of Cr on Fe(100) is critical for interfacialroughness
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surface roughness kills short oscillation period•
accumulated roughness in the Cr wedge eventually destroys the coupling patternInfluence of Interfacial Roughness: Fe/Cr/Fe
★ short coupling period appears only for smoot h int erfaces
★ growt h of Cr onFe(100) is crit ical for int erfacial roughness
★ surfaceroughness kills t heshort oscillat ionperiod
★ accumulat ed roughness int heCr wedgeevent ually dest roys t he coupling pat t ern
Fe(100) Cr growth
@30˚ C Cr growth
@350˚ C
Fe Cr Fe
Fe/Cr multilayers
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asymptotic behavior ~1/tCr2•
reduction of the GMR with interlayer thickness can be understood asshunting of the resistance by the nonmagnetic films
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Beyond Fe/Cr
[1] S. S. P. Parkin, Phys. Rev. Lett. 67, 3598 (1991).