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Progress Report on A New Search for a Permanent Electric Dipole Moment of the Electron in a Solid State System
13th SUSY Conference, Durham UK, July 18-23, 2005
Chen-Yu Liu, S. K. LamoreauxG. Gomez, J. Boissevain, M. Espy, A. Matlachov
Los Alamos National Laboratory
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Shapiro’s proposal -- using a solid state system to measure eEDM
Usp. Fiz. Nauk., 95 145 (1968)
B.V. Vasil’ev and E.V. Kolycheva, Sov. Phys. JETP, 47 [2] 243 (1978)
de=(0.81 1.16)10-22 e-cm
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Features of solid state eEDM experiment
• High number density of bare electrons ~ 1022/cm3.PbO Cell Tl Beam:
N = nV ~ 1016 N = nV ~ 108
• Electrons are confined in solid No motional field effect.• Solid state sample:
– Large magnetic response.
• Solid state sample:– High dielectric strength.
• Concerns– Parasitic, hysteresis solid state effects might limit the sensitivity to the EDM
signals .€
Bmotional = v × E
Pros:
Cons:
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Figure of Merit• Sensitive magnetometers
– Superconducting Quantum Interference Device (SQUID). – Atomic cell (non-linear Faraday effect).
• Measure induced magnetic flux:
€
ΔΦ=BA = χ mdE * μa( )A
Paramagnetic susceptibility m
Pick-up coil aread=de, enhancement factor Z3
Effective field, large dielectric constant K.
Large m
Large Z
Large E
Large A
A paramagnetic insulating sample
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New experiment
Gadolinium Gallium Garnet(Gd3Ga5O12) polycryostal
•Gd3+ in GGG–4f75d06s0 ( 7 unpaired electrons).–Atomic enhancement factor = -4.91.6.
–Langevin paramagnet.–Dielectric constant ~ 12.–Low electrical conductivity and high dielectric strength
•Volume resistivity = 1016 -cm.•Dielectric strength = 10 MV/cm for amorphous sample.
–Cubic lattice.
Large Sample size: 100 cm3
Higher E field:10kV/cm
Better SQUID design
Lower Temperature:10mK
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Comparison with the 1978 ExperimentB.V. Vasil’ev and E.V. Kolycheva, Sov. Phys. JETP, 47 [2] 243 (1978)• Sample: Nickel Zinc ferrite
–dielectric strength ~ 2kV/cm. –Fe3+: b = 4 B . (uncompensated moment) 2–Atomic enhancement factor = 0.52. 1–Magnetic permeability = 11 (at 4.2K). (m=0.8) –Electric permittivity =2.20.2. (=0K)–Cubic lattice.–No magnetoelectric effect.
• Sample size: 1cm in dia., 1mm in height. (0.08 c.c.) 500• E Field: 1KV/cm, 30Hz reversal rate 10 (field)• Temperature : 4.2K 100 (pending spin-glass)• rf-SQUID with a field sensitivity of 10-12 T. 1000-10000• dFe3+= (4.26.0) 10-23 e-cm de=(0.81 1.16)10-22 e-cm 10-30 e cm seems feasible!!!
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Enhancement Factor of EDMof electrons in Gd3+ in garnet crystal
• Mukhamedjanov, Dzuba, Sushkov, Phys. Rev. A 68, 042103 (2003).
€
da = KatomKCFde
⇒ −2.2 × 9.5de = −20.9de
€
Δ =−20.9de E int =−20.9
30de E ext
⇒ 0.7de E ext
The enhancement factors has two contributions:Electrons in atom : Katom
Adjacent Oxygen electrons : KCF
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EDM Sensitivity Estimate
• EDM signal: Φp = 17Φ0 per 10-27e-cm.– with 10kV/cm, T=10mK, A=100 cm2 around GGG
• SQUID noise: ΔΦsq = 0.2Φ0/√t (research quality)
• Coupling eff. = Φsq/Φp = √(LsqLi)/(Lp+Li)= 810-3.– Lsquid= 0.2 nH. – Lpick-up= 700 nH. (gradiometer)– Linput= 500 nH.
• de = ΔΦsq/Φsq=(0.2Φ0/√t)/(810-3 Φp)
– de = 1.4710-27 /√t e-cm
• In 10 days of averaging, de~ 10-30 e-cm.
S. K. Lamoreaux, Phys. Rev. A 66, 022109 (2002)
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In 10 days of data accumulation,
de~ 10-30 e-cm.
J.M.Pendlebury and E.A. Hinds, NIMA 440 (2000) 471
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Alumina Crucible
Single crystal GGG
Poly-crystalline GGG
Parallel platecapacitor
E.E. Hellstrom et al., J. Am. Ceram. Soc., 72 1376 (1989)
“ Solid State Reaction” to synthesize ceramics using oxide powders
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Susceptibility m Measurements
• Paramagnetic susceptibility • Toroid inductor with GGG core • Resonant frequency:
€
m =C
T
€
C =Nμb
2
3kB
=1.29
€
NGd 3+
=1.03×1022 /cm3
€
1
2π LC
€
Ltoroid = μ0(1+ χ m )A
ln2
Traditional AC field method LC resonance circuit method
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Magnetic flux pick-up coil: planar gradiometer • Common mode rejection ratio of residual external B fluctuations.
– measured ratio ~ 240 0.4% area mismatch.• Enhancement of sample flux pick-up.
5”2.5”
EDM Measurement Sequence:
• Reverse HV polarity
• monitor magnetization changes (AC flux change picked up by the SQUID)
A1
A2
A1=A2
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Instrumentation• High Voltage Electrodes: Macor
coated with graphite.• Magnetic Shield (shielding factor
> 109) – Superconducting Pb foils (2
layers).– High Metglas alloy ribbons
in cryostat.– An additional cylinder of
“Conetic” sheet outside the cryostat.
• The whole assembly is immersed in L-He bath, which can be cooled by a high cooling power dilution refrigerator. (3.5mW at 120mK)
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1.5 K L-He Cryostat
• Fluxgate– Shielding factor of the metglas shield ~
100– Shielding factor of the “Conetic” half
cylinder shields ~ 5• SQUID
– Learn to implement SQUIDs in our experiment
– Noise Measurement:– Measure the Shielding Factor of
• the metglas shield (did not help)• Pb shield (> 108)
– Sensitivity Calibration using current loop
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SQUID Noise Spectrum
• One layer of Pb superconducting foil• Vibrational peaks• Background > Intrinsic SQUID noise
• Two layers of Pb superconducting foils• Vibrational peaks are gone• Background ~ Intrinsic SQUID noise• 1/f corner of SQUID noise < 1Hz
Baseline: 27.5 Φ0/rtHz Baseline: 5.8 Φ0/rtHz
Vibrational peaks
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Learning about the SQUID
• Adding current bypass capacitors to the ground greatly reduce the high frequency spark signals into the SQUID.
• Stability of the SQUID feedback circuit.– A larger RC constant of the FB circuit makes the SQUID operation less
sucesptible to the constant HV polarity switches.• Normal vs. Superfluid Helium bath
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WaveformsHV monitor
CurrentIn the ground plate
SQUIDsignal
ms
ms
ms
We have been turning on the HV and taking data using SQUID with GGG samples for 2 months.
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eEDM signal
SQUID signal: (-2.68+-5.5)10-7 V (-0.66 +- 2.8)10-7 V (drift corrected)
Leakage Current: (-46 +- 1) 10 pA
4K, 2.8kVpp, 1.13Hz, 50 minutes
B.V. Vasil’ev and E.V. Kolycheva, Sov. Phys. JETP, 47 [2] 243 (1978)
de=(0.81 1.16)10-22 e-cm
de=(0.44 0.88) 10-23 e-cm
Preliminary
Preliminary Results:
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Systematic Effects• Leakage current.
– <10-14A, should be feasible at low temp.
• Displacement current at field reversal.– Generate a large B field (helps to check SQUID functionality). – Residual magnetization due to solid state hysteresis effects???– Magnetize materials around the sample??? (put in another SQUID for field
monitor)
• Solid State effects:– Linear magneto-electric effect.– Magnetic impurities. (no problem, as long as they don’t move.)– Spin-lattice relaxation ???
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Conclusions and Future Plans• The current setup is sensitive to eEDM signal ~ 10-23e-cm using a
hour of data.
• The prototype system cooled to 40 mK and 2 days of data averaging should have an eEDM sensitivity of 10-27e-cm. – Results from the prototype experiment expected in the end of 2005.
• Second generation experiment using – larger samples, (10 samples in parallel)
– and more sensitive magnetometers:• research grade SQUID (noise: 0.2Φ0/Hz)
• cryogenic atomic magnetometers (D. Budker’s group in Berkeley)
should further push the sensitivity of the experiment to 10-32 e-cm.
• Future: 10K (technically possible), eEDM sensitivity: 10-35 e-cm.
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A new generation of electron EDM searches
Group System Advantages Projected gain
D. Weiss (Penn St.) Trapped Cs Long coherence ~100
D. Heinzen (Texas) Trapped Cs Long coherence ~100
H. Gould (LBL) Cs fountain Long coherence ?
L. Hunter (Amherst) GdIG Huge S/N 100?
S. Lamoreaux (LANL) GGG Huge S/N 100?-100,000?
E. Hinds (Imperial) YbF beam Internal E-field 2-?
D. DeMille (Yale) PbO* cell Internal E-field 100-10,000?
E. Cornell (JILA) trapped HBr+ Int. E + long T ??
N. Shafer-Ray (Okla.) trapped PbF Int. E + long T ??