Ψ-k workshop on magnetism in complex systems, 16 th – 19 th April 2009, TU WienM. Stöger-Pollach...
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Transcript of Ψ-k workshop on magnetism in complex systems, 16 th – 19 th April 2009, TU WienM. Stöger-Pollach...
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Detection of magnetic properties on
thenanometer scale
Michael Stöger-Pollach, TU Wien
Peter Schattschneider, TU Wien
Stefano Rubino, Uppsala Univ.
Cécile Hébert, EPF Lausanne
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line outLine out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion Introduction
XMCD/EMCDbasic equations
Recent results
Experimental limits
Conclusion
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Introduction
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Definition
Dichroism := dependence of X-ray absorption coefficient
on the polarization of the photon
linear dichroism: linearly polarized photon measures anisotropy
circular dichroism: circularly polarized photon measures chirality (XMCD)
Circular dichroism in the TEM?
XMCD: polarization vector of photon rotates
do we need spin polarized probe electrons?
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
J. Stöhr, Stanford University
LiIO3
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Information in XMCD© Gisela Schütz,
MPI Stuttgart
Schattschneider et alNature 441(2006)486-8
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
X-ray Spectromicroscopy
PEEM2 (ALS): at resol. limit 106 photons/s @ 20 nm, 0.45 eV
FEGTEM: 3.109 electrons/s @ 0.7 nm, 0.7 eV
X-ray photoemission electron microscopy (XPEEM) for dichroism:
J. Stöhr et al. 1998
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
X-ray Spectromicroscopy
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Transmission Electron Microscopy
electron sourceelectron source
SampleSample
Diffraction pattern
Diffraction pattern
1st image1st image
CondenserCondenser
projection lensesprojection lenses
Objective lensObjective lens
viewing screenviewing screen
image mode diffraction mode
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Electron Energy Loss
Spectrometry
Diffraction patternDiffraction pattern
Fe
Co
Ni
X-ray absorption
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
XMCD: synchrotron
Availability: 60 world wide
Price: > 900 M$ (Brookhaven NSLS II)
EMCD: TEM and EELS
Availability: many, many, many world wide
Price: ~ 2 M$(TECNAI F20)
Spatial resolution: ~20 nm (XPEEM)
Spatial resolution: <1 nm
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
XMCD/EMCD(X-ray Magnetic Circular Dichroism)
(Energy loss Magnetic Chiral Dichroism)
- basic equations:Fe
Co
NiXANES: X-ray Absorption Near Edge Structure
ELNES: Energy Loss Near Edge Structure
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion2 2
,* *2 4 2 20
( , ) ( , )4(1 ) f j j lj j j l
ELNES j j li j j l
k DFF E MDFF Ec c c c
E a k q q q
q q q
2
,
2 ( )XANES i fi f
h i f E E E e R
Similarities ELNES - XANES
Dipole approximation
2
,
ˆ( , ) ( )i fi f
DFF E i f E E E q qR
2
,
( , ) ( )i fi f
iDFF E i f E E Ee Rqq
No interference...
Electrons:
Photons(X-rays):
(= fine structure in absorption edges)
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
The Mixed Dynamic Form Factor (MDFF)
Dynamic Form Factor
Static Form Factor 2,0, FMDFF qq
,, DFFEMDFF qq
Special cases:
,
'( , ', ) ( )i fi f
i iMDFF E i f f i E E Ee e R Rq qq q
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Mach-Zehnder setup
2 2 21 2,
122 4 2 210 1 2
( , ) ( , )4 (1 ) f j
ji j
k DFF E MDFF EC
E a k q q q
q q q
Mixed Dynamic Form Factor
direct(Lorentzians)
interference (Kikuchi band)
angular EELS profiles
Inelastic interference
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
XMCD/EMCDPolarization vector in XANES Momentum transfer q in ELNES
1 2e i e 'q i qMatrix elements of DFF in dipole approximation:
2 22
, , ,
, ,
ˆ ˆ ˆ( ') '
ˆ ˆ ˆ ˆ' '
i f i f i f
i f i f
i i R f i R f i R f
i i R f f R i i R f f R i
q q q q
q q q q
( , ', )MDFF Eq q( ', , )MDFF Eq q
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
XMCD/EMCDELNES:
q vectors in diffraction planeEELS at Thales circle
XANES:polarization vectors
Phase shift π/2
reverse magnetisation
measure difference spectra
Laue circle centre at (200)
reverse current in lens
difference spectra prop. to MDFF
(200)(000)
e2e1
C. Hébert & P. Schattschneider, Ultramicroscopy 96 (2003) 463
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Recent results
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Detector shift method
q q‘
q q‘
+
_
Schattschneider et al Nature 441(2006)486-8
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Magnetic phase transition
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
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Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
E-q mode of spectrometer
energy axis of spectrometer
Ni L3,2 edge, focused spot
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
E-q mode of spectrometerCo L3,2 edge, focused spot
P. Schattschneider, et al
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Scanning mode (STEM)Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
a) Fe L3 signal in diffraction planeb) dichroic signal
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Scanning mode (STEM)
minus
plus
Au Fe Au Fe31 nm 10 6 3
Fe L3,2 edge
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Scanning mode (STEM)
P. Schattschneider, et al
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Scanning mode (STEM) +
E-q mode of spectrometerth
ickn
ess
of F
e (n
m):
1
1
2
3
15
Au
F
e
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Scanning mode (STEM) +
E-q mode of spectrometer
Fe signal
dichroic signal
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
Line out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
Experimental limits
Sample thickness
Intensity (SNR)
Drift of specimen during measurements
+
-
Ψ-k workshop on magnetism in complex systems, 16th – 19th April 2009, TU Wien M. Stöger-Pollach
ConclusionLine out
Introduction
XMCD/EMCD
Recent results
Experimental limits
Conclusion
with EMCD we are able to detect magnetic properties on nm-level
Mapping of magnetic properties was not achieved within EMCD until now
Stabilibty problems and little brigtness need to be improved