NuFact04 Osaka, Japan 27.07.2004 1
Applied muon science:novel perspectives
E. Morenzoni
Paul Scherrer InstituteCH-5232 Villigen PSI
Switzerland
2Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Applied muon scienceMuons for non-particle physicists:
µ− : heavy electron ( mµ ≈ 200 me)µ+ : light proton (mµ ≈ 1/9 mp), Muonium (µ+ e-) hydrogen isotope
Many applications (see also WG4):
atomic/molecular physics: muonic atoms and molecules,Mu spectroscopy (muon mass, magnetic moment...)
nuclear physics: nuclear charge moments,muon catalized fusion, nuclear capture
condensed matter physics, material science, chemistry: muon spin rotation/ relaxation/ resonance, µSR
latest development:muons for nanoscience, polarized muons for investigations on nm scaleneeds intense polarized muon beams and would greatly benefit from further intensity and beam quality increase
Measurement of :
-parity violation-muon spin, g-factor, decay asymmetryand
first muon spin rotation spectrum
4Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
µSR: Muon Spin Rotation/Relaxation
P(t) 31 A
)n)t(PA(eNdt
)t(dNt
e
=
↑
⋅+= µ+ τ− rr
10
Implant and thermalize polarized muons in the sample (no loss of polarization,stop site: generally interstitial)
Observe time evolution of muon polarization via asymmetric muon decay: (positrons preferentially emitted along muon spin)
Positron intensity as a function of time after implantation:
θS
)cos31(1
d)(dN
e θ+∝Ω
θ+
:1P For =
5Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
µSR: Muon Spin Rotation/Relaxation
Time evolution of the polarization of the muon ensemble is characterizedby precession and/or depolarization/relaxationin the local magnetic fields (spins, moments, currents)
Static and dynamic properties of fieldsvery sensitive magnetic/spin probe: 10-3 – 10-4 µBtime window for fluctuations: 10-5 – 10-11 s
Distribution of fields with field distribution p(B):
Fourier transform of P(t) p(B)
loclocloc
locL
dB)tBcos()B(p)t(P
B :precession Larmor
ϕ+γ=
γ=ω
µ
µ
∫
locL Bµγ=ω
6Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Range of muons in matter
nm
mm
µm
102
10
1
1
102
10
1104103102101
Cu
Ran
ge
Energy [keV]
bulk
thin films,multilayers..
Allow depth-dependent µSR investigations ( ~ 1 – 200 nm)
Extend the use of µSR to new objects of investigations
New magnetic/spin probe for thin films, multilayers, surface regions, buried layers,..
“Surface Muons” from π+
decay at rest ( ~ 4 MeV) generally used for condensed matter studiesfor bulk studies: no depth resolution
7Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Laser Ionization of thermal Muonium
1S
2P
unbound
355nm
122.09nm (Mu)
Muonium
µ e+
4 MeVµ+
Thermalization+ diffusion
Mu
µ+
Tungsten foil2000 K
0.5 µm
122
nm
355
nm
µ+
(0.2 eV)e-
e-
µ+
µ+Mu
µ+ e-
122.09 nm(Lyman-α)
1S
2P
-13.6 eV
0 eV
Mu
355 nm
Courtesy of P. Bakule, RIKEN-RALP. Bakule, Y. Matsuda, K. Nagamine et al., RIKEN-RAL, KEK
Stop surface muons in hot W foil
Ionize thermal Mu diffusing from foil by pulsed operation (25 Hz) of speciallydeveloped laser systems
Timing determined by laser pulsing (8 ns),better than muon pulse width (100 ns)
Intrinsic energy spread 0.2 eV
Energy spread after accel. < 50 eV
Energy interval 1 –10 keV
Efficiency
Intensity ~ 15 µ+/sec
Polarization: 50%
Principally achievable efficiency: 1%Scalable to high intensity but technologicallydemanding
510−µ
≅ε∆
≅ε + ionMu
Rd
SiO2
×10
Energie [eV]0 25 50 75 100
10
20
30
40
50
Spek
trale
Dic
hte
[a.u
.]
1 10 102 103
Energy [keV]
Cou
nts
/(keV
10
)
9µ
20
40
60
1
MyoniumMuonium
Surface Muons
∼ 4 MeV∼ 100% polarized
∼100 µm ∼500 nms-Ne, Ar,s-N2
6 K
Generation of polarized epithermal muons by moderation
8D. Harshmann et al. 1987, E. M. 1992
Surface Muons
∼ 4 MeV∼ 100% polarized
∼100 µm ∼500 nms-Ne, Ar,s-N2
6 K
Mechanism of epithermal µ+ production in weakly bound insulators:
-Suppression of electronic energy losses-Soft elastic collisions in the eV region
escape before thermalization E. Morenzoni, F. Kottmann, D. Maden, B. Matthias, M. Meyberg, Th. Prokscha, Th. Wutzke, U. Zimmermann, Phys.Rev.Lett. 72, 2793 (1994).
Characteristics of epithermal muons
9
Time [ s]µ
Asy
mm
etry
Polarization: ~ 100%
AP
(t)
LE-muons source:
100% polarized peak energy: ∼ 15 ± 10 eVmoderation efficiency ∼ 10-4
escape depth : 15-100 nmangular distribution: dN ∼ cosθdΩ
R
d
∆≅ε
+
+µ
µ
• UHV:p ∼ 10-10 mbar
• Electrostaticaccel-decel and transport system (LN2 cooled)
10
Very low energy µ+ beam and set-up forLE-µSR
Very low energy µ+ beam and set-up forLE-µSR
11
~2.5 •107 µ+/s
~3000 µ+/s
~1000 µ+/s
Polarized Low EnergyMuon Beam (Tertiary DC beam)∼0.5-30 keV(∼1 – 200 nm)Energy uncertainty: 400 eV
13Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Experimental program: main topicsMagnetism
Interlayer exchange coupling in multilayers, superparamagnetism in mass selected nanoclusters, Magnetic ordering in buried, strained/stressed films, surface vs bulk magnetism in LaCoO3
Superconductivity (near surface)Non-local effects, Isotope effects, Vortex motion and pattern formation in 2D
Interplay/Coexistence Magnetism/SuperconductivityYBCO/SRO superlattices, Fe/Pb multilayers, YBCO/PBCO/YBCO multilayers, Spin glass transition /sc in LSCO meanderfilms, Surface magnetism/superconductivity in La1.9Ce0.1CuO4, search for spontaneous magnetization at the surface of YBCO110
Dimensional or surface effectsSurface polymer dynamics, Finite size effects in spin glass freezing,Surface vs bulk magnetism in LaCoO3
Hydrogen states and dynamics in semiconductors and dieletricsLow k-materials (nanoporous silica), hydrogen states in semiconductor and insulating films
Basics of LE-µSRImplantation studies, behavior at surfaces, diffusion at interfaces, muon moderation studies
B(z) superconductor
z
muon implantation profile for a particularmuon energy Eµ
n(z,Eµ)
µSR experiment ⇒magnetic field probability distribution p(B) sensed by the muons
n(z)dz = p(B)dB ⇒ B(z)n(z)dz = p(B)dB ⇒ B(z)
♦
♦
♦
♦
♦♦
Depth dependent µSR measurements in near surface regions
Bext
0
λ
magnetic field profile B(z)Characteristic lengths of the sc λ, ξ
15Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Magnetic Field Profiles in Pb and YBa2Cu3O7-δ
0 50 100 150
1E-3
0.01YBa2Cu3O7-δ, T=20K, Tc=87.5K
hext
= 91.5(3) G, ξ0 = 1.5 nm fixed, λ0 = 137(10) nm
hext exp(-z/λ(T)) 3.4 keV 8.9 keV 15.9 keV 20.9 keV 29.4 keV
B (T
)z (nm)0 50 100 150
1E-3
0.01
0 50 100 150
1E-3
0.01
0 50 100 150
1E-3
0.01Lead, Tc=7.0(2) K, hext = 91.5(3)G,
ξ0 = 90(5)nm, λ0 = 58(3)nm
6.66K
6.19K
2.85K
z (nm)
B (T
)
κ0 = 0.64(5) κ0 ≈ 90
non-local non- exponential local exponentialA. Suter, E. Morenzoni, R. Khasanov, H. Luetkens, T. Prokscha, and N. Garifianov Phys. Rev. Lett. 92, 087001 (2004).
Magnetic field profiles beneaththe surface with a few nm resolution
ξ
ξ
λ
0
z
“local”
“non-local”
)T(z
0abeB)z(B λ
−=→
Direct Test of theories (London, BCS)
)T(nm)T(s
*∝λ
Local, non-local response
Determination of the coherence length
Direct, absolute measurement of magnetic penetration depth
effective mass density of
supercarriers
700
600
500
400
300
200
1000 10 20 30 40 50 60 70 80 90
Thin Film (Meissner state) Thin Film (mixed state) Single crystal (mixed state, Sonier et al., PRL (1994) 744)72
Temperature [K]
λ ab(T
) [nm
]
T.J. Jackson, T.M. Riseman, E.M. Forgan, H. Glückler, T. Prokscha, E. Morenzoni, M. Pleines, Ch. Niedermayer, G. Schatz, H. Luetkens, and J. Litterst, Phys. Rev. Lett. 84, 4958 (2000).
16Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
17Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Isotope effects in YBa2Cu3O7-δ
0 10 20 30 40 50
0.0
0.5
1.0
-0.10
-0.05
0.00
(a)
σ sc (µ
s-1)
T(K)
16Opac
18Opac
16Op18Oac
18Op16Oac
(b)
σ sc(T
) - σ
fit(T
)(16
0)
cba
CuO Chain
Apical Oxygen
CuO2 Plane
O(2,3)
Cu(2)
O(4)
Cu(1)O(1)
Ba
Y
16O
18O
YBa2Cu3O7-δ Film
Oxygen isotope effect on the magnetic penetration depth.
Which Oxygen in the crystal lattice mainly contributes to the effect?
Selective site substitution
Y0.6Pr0.4Ba2Cu3O7-δ Powder
Bulk-µSR measurements show that the substitution of 16O Atoms in the CuO2 plane is responsible for the effect.
Structure of YBa2Cu3O7-δ
21λ
∝σ
R. Khasanov, D.G. Eshchenko, H. Luetkens, E. Morenzoni, T. Prokscha, A. Suter, N. Garifianov,M. Mali, J. Roos, K. Conder, and H. Keller Phys. Rev. Lett. 92, 057602 (2004)
0 % .
nn
mm % .
s
s
ab
ab
ab
ab
≅⇓⇓
⎟⎟⎠
⎞⎜⎜⎝
⎛ ∆−
∆=
λλ∆
=
65
2182
dB Φ)Btcos(p(B)(t)P µx ∫ +γ=
Flux line lattice field distribution across the surface
π2/a
Near surface region of a Type II superconductor in the vortex state
18
Ch. Niedermayer, E.M. Forgan, H. Glückler, A. Hofer, E. Morenzoni, M. Pleines, T. Prokscha, T.M. Riseman, M. Birke, T.J. Jackson, J. Litterst, M.W. Long, H. Luetkens, A. Schatz, and G. Schatz, Phys.Rev.Lett. 83, 3932-3935 (1999).
19Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Magnetic Multilayers (ML)
Normal Metal FerromagnetFerromagnet
Interlayer exchange coupling in magnetic ML
IEC oscillates with spacer thickness(RKKY)
Different techniques to probe the FM layer (polarization of secondary electrons, MOKE, …)
oscillation period, coupling strength
Muons can locally probe the polarization of the nonmagnetic spacer mediating the coupling
20
M1 M2d
4nm 20nm 4nm
Fe/Ag/FeImplantation profile (3 keV)
Oscillating polarization of conduction electrons
∑=
⊥ θ+=2
1
1
ii
ini )xqsin(
xC)x(B
i
Polarisation of conduction electrons
Oscillating magnetic field in Ag
B(x) and IEC oscillate
with the same period but
attenuation with distance
from interface different !
H. Luetkens, J. Korecki, E. Morenzoni, T. Prokscha, M. Birke, H. Glückler, R. Khasanov, H.-H. Klauss, T. Slezak, A. Suter, E. M. Forgan, Ch. Niedermayer, and F. J. Litterst Phys Rev. Lett. 91, 017204 (2003).
22Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Magnetism/Superconductivity in ML
Superconductor FerromagnetFerromagnet
23Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Superconducting and magnetic orderingCompare data above and below Tc
T<TcT>Tc
Pb 215 nm
Fe 2,6 nmMo 6 nm
Fe 2,8 nm
A. Drew, S. Lee et al: St. Andrews-PSI-Leeds collaboration
Spin Density Wave in Pb induced above and belowTc with same wave vectors but phase shifts by 900
below Tc
Tolerance (coexistence) and Interaction betweenthe magnetic and superconducting order in the PbfilmWeaker attenuation of electron polarization thanexpected∑ φ+
=∝i
nii
i ix)xksin(A B(x) )x(M
Oscillating polarisation of conducting/superconductingelectrons
New high-intensity surface muon beamfor LE-µ+ applications
24
Replaced withnew beam in 2004
used up to now for thin films studies
Target E: 60 mm graphite
proton beam
Installation/ Commissioning
2003/2004
Intensity increase: 7
Parameters of the new surface muon beam
T. Prokscha∼ 7000 eV-keV µ+/sec 25
26Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Conclusions and outlook
Polarized low energy muons (eV-keV) can be used as a tool for depth resolved investigations of single- and multilayered samples over distances of the order ~ 1 - 200 nm. Applications in superconductivity, magnetism, soft matter, semiconductors...The new surface muon beam line and the present upgrade at PSI will improve the exploitation of the potential of this technique.High quality muon beams (flux, emittance, brillance) would have great impact on the application of muons in nanoscience (e.g. microbeam, possibility of lateral resolution on µm scale, investigation of ~100 µm x 100 µm samples).
N. GarifianovH. Luetkens
T. Prokscha
E. MH.P. Weber
A. SuterR. Khasanov
27
28Paul Scherrer Institut • 5232 Villigen PSI Nufact2004-Osaka / 28.7.2004 / E. Morenzoni
Also thanks tofor selected experiments and samples:
University of Birmingham: E. Forgan, T. Jackson, T. Riseman
Technische Universität Braunschweig: M. Birke, J. Litterst
Universität Konstanz: C. Niedermayer
Universität Zürich: H. Keller
Academy of Mining and Metallurgy, Krakau: J. Korecki, T. Slezak
Paul Scherrer Institute: K. Conder, M. Horisberger
for the construction of the new surface muon beam line :
Paul Scherrer Institute: R. Kobler, K. Deiters, D. George, S. May
and the PSI technical divisions