Noah Kurinsky, Yoni Kahn (UIUC) CPAD 2019 December 10, 2019
Novel Small-Gap Materials as Photodetectors
Novel Small-Gap Materials as Photodetectors Noah Kurinsky, Yoni Kahn - - PowerPoint PPT Presentation
Novel Small-Gap Materials as Photodetectors Noah Kurinsky, Yoni Kahn (UIUC) CPAD 2019 December 10, 2019 DM Collision Kinematics Recoil energy for a typical WIMP velocity depends on target mass and recoil type Electron and nuclear
Noah Kurinsky, Yoni Kahn (UIUC) CPAD 2019 December 10, 2019
Novel Small-Gap Materials as Photodetectors
3/19/2019 Noah Kurinsky
DM Collision Kinematics
velocity depends on target mass and recoil type
different kinematics; nuclear recoils are simple elastic collisions, electron recoils are largely inelastic and depend
within the bound electron-atom system
fixed velocity, using a velocity and angular distribution yields an expected energy spectrum
2
∆ENR ≤ 1 2mN q2
max = mNv2
2 ✓ 2mχ mχ + mN ◆2 ∆EER ≤ 1 2µNχv2 = mNv2 2 ✓ mχ mχ + mN ◆
mχ,ER ≥ 2σE v2
mχ,NR ≥ √2mT σE v
Low Mass High Mass
12/10/2019 Noah Kurinsky
General Idea
from new detector materials with small gaps or long-lived phonon modes
technology challenges are identical to the early days of Si, Ge, etc photodiodes, with some exceptions
resolving Si detectors
single electron level, and SiPMs are a mature technology
materials with small gaps at temperatures compatible with low dark rates
microphysics rather than heterostructures
3
https://arxiv.org/pdf/1910.10716.pdf
12/10/2019 Noah Kurinsky
Classical Picture of Semiconductors
bandgap energies (though the efficiency is reduced)
4
12/10/2019 Noah Kurinsky
Classical Picture of Semiconductors Updated
bandgap energies (though the efficiency is reduced)
5
12/10/2019 Noah Kurinsky 6
From Sub-GeV DM Workshop (L. Wagner)
https://indico.fnal.gov/event/20385/session/55/contribution/39/material/slides/0.pdf
https://astro.fnal.gov/ldm/
12/10/2019 Noah Kurinsky 7
From Sub-GeV DM Workshop (L. Wagner)
https://astro.fnal.gov/ldm/
https://indico.fnal.gov/event/20385/session/55/contribution/39/material/slides/0.pdf
Y Γ Z T S R
0.5 1 E-EF (eV)
(a) (b
3D Dirac semimetal (ZrTe5)
[Hochberg, YK, Lisanti, Zurek, Grushin, Ilan, Liu, Weber, Griffin, Neaton,
ZrTe5 is a “Dirac material” with highly anisotropic band structure
k E(k) = ± q v2
F,xk2 x + v2 F,yk2 y + v2 F,zk2 z + ∆2
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vmin(|q|, !`,`+q) = q v2
F,?(` + q)2 ? + v2 F,z(`z + qz)2 +
q v2
F,?`2 ? + v2 F,z`2 z
|q| + |q| 2mχ !
No scattering if DM is slower than vF, but this depends
Strong directional dependence
2∆ ∼ 30 meV
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0.5 1 E-EF (eV)
(a) (b
χ χ
k k0 = k + q
insulating sample a)
depletion p-type n-type b)
ZrTe5 band diagram
Would operate like an APD or a SiPM: e-h pair created in insulating layer is accelerated, impact ionization leads to charge cascade: mA for exponential gain, 10-100 e for linear gain
+10-100 V +10-100 V 0 V 0 V
1 − 300 µm
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Cryogenic Single Charge Detector
detector+readout capacitance, voltage noise, and 1/f cutoff
allowing for larger pixels to have the same charge resolution in a material with lower permittivity, or lower resolution in pixels of the same size
performance at 4.2K sufficient for single- charge ionization-chamber style detectors for low-rate signals at ~mg masses
explored in table below
11
Width Height
Phipps et. al. 2016 arXiv:1611.09712 Kurinsky, Yu, Hochberg, Cabrera (1901.07569)
structure is very close to linear near BZ center
grown at Brookhaven and in China
with epitaxial strain and/or Te concentration
function and Fermi velocities in an insulating sample: UIUC has unique expertise and equipment to do this
nderstanding these tuning parameters’ – –
− 𝑌 − 𝑍
a) b) c)
[Z.-G. Chen et al., PNAS 114 (2017)] [Q. Li et al., Nature Phys. 2016] [Q. Li, preliminary] [Y.-Y. Lv et al, J. Cryst. Growth 457 (2017)] [H. Xiong et al.,
With a charge detector, there is always a “dark rate” (impurities, thermal, stray light, etc), but this is isotropic
0.0 0.2 0.4 0.6 0.8 1.0 50 100 500 1000 t [days] Rtot [kg-1 days-1] m = 20 keV e = 2 10-41 cm2 m = 50 keV, e = 3 10-41 cm2 ZrTe5 (exp.)
Daily modulation of event rate is a smoking gun for DM
rotation
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new material is hard. Practice on an easier material
first made into an APD in 1967 (!!)
but still sensitive to DM down to 200 keV
temperatures, calculate DM sensitivity
temperatures, SQUID current sensor readout in linear gain mode
4 2
K Γ L W X Γ
Energy [ E-Ef (eV) ]
E0 E’0 ∆SO ∆’SO Σ4 Σ3 Σ4 Σ3 Σ4 Σ3 Σ4 Σ3(c)
JOURNAL OF APPLIED PHYSICS VOLUME 38, NUMBER 11 OCTOBER 1967
Noise and Multiplication Measurements in InSb Avalanche Photodiodes
creases and the breakdown voltage decreases with increasing temperature. The dependence of the ionization rate on field and temperature is explained by the weak dependence of the distribution function on field for high fields. The noise measurements are consistent with McIntyre's theory providing that the electron ionization rate is much greater than the hole ionization rate. A current-controlled negative resistance is
Improvements in the signal-to-noise ratio in an avalanching silicon diode used as a broadband detector for high-frequency modulated light were reported by Johnson.! It was thought at that time that the state analog of the photomultiplier had been discovered. The calculations of the noise generated in an avalanch- ing photodiode by Tager2 and McIntyre3 showed, how- ever, that the noise associated with avalanche multi- plication increases more rapidly than the signal. Thus the gain in signal obtained in an avalanche photodiode is only useful if the system under consideration is limited by amplifier noise or the thermal noise of the diode load resistance. This limitation is obtained only in broadband systems. The noise generated in an avalanche photodiode depends critically on the ratio of a to (3, the electron and hole ionization coefficients, respectively.3-6 The least noise is obtained if the ratio of the ionization rates is very large and the primary photocurrent is carried by the carrier with the higher ionization rate. .The maximum frequency response of an avalanche photo- diode is also obtained if the ratio of the ionization rates is large.7 The ratio of the electron to hole ionization rates in silicon varies between 10 and 50 depending on the elec- tric field,S while in germanium the hole ionization rate is a factor of two larger than the electron ionization rate.9
1 K. M. Johnson, IEEE Trans. Electron. Dev. ED 12, 5S(1965) .
2 A. S. Tager, Soviet Phys.-Solid State 8, 1919 (1965). 3 R. J. McIntyre, IEEE Trans Electron. Dev. ED 13, 164(1966) .
4 H. Melchoir and L. K. Anderson, 1965 Intern. ElectronDevices Meeting, Washington, D.C.
5 R. D. Baertsch, IEEE Trans. Electron. Dev. ED 13, 383(1966) .
6 R. D. Baertsch, IEEE Trans. Electron. Dev. ED 13, 987(1966) .
7 R. B. Emmons and G. Lucovsky, IEEE Trans. Electron.The measurements in GaAsI0,l1 and GaP12 show the hole ionization rate to be equal to the electron ioni- zation rate. This paper reports on measurements of ionization rates and noise in InSb avalanche photodiodes at tem- peratures from 77° to 125°K. From the temperature and field dependence of the ionization rate some sug- gestions as to the distribution function of hot electrons in InSb for very high fields are made. The calculation of the ionization rates from the multiplication data is given in the Appendix.
Single-crystal n-type indium antimonide with a con- centration of approximately 2 X 1014 donors/ cm3 was sawed into slices 1 mm thick and oriented in the (100)
anol-bromine solution in contact with a rotating wheel covered with a fine polishing paper.I3 The polished slices were sealed in an evacuated quartz tube with an indium-candmium alloy and diffused at 400°C for 60 to 200 h. The slices were then back lapped and etched to a thickness of 150 }J., and cleaved along the [110J directions into dice approximately 1 mm on a side. The dice were alloyed to a gold-plated Kovar header with pure tin. A platinum wire was soldered to the player with pure indium. Care was taken that the indium did not alloy through the p layer which was 3 to 6}J. thick. A portion of the p layer was masked with Apiezon W black wax and a mesa was etched electrolytically in
stoichiometry.14
In some cases the diode was then anodized in a solu-
tion of O.lN KOH to form a passivating oxide film over the diode. In other cases silicon monoxide was evapo-
10 R. A. Logan, A. G. Chynoewth, and B. G. Cohen, Phys.(1966) .
12 R. A. Logan and H. G. White, J. App!. Phys. 36, 3945 (1965). 13 M. V. Sullivan and G. A. Kolb, J. Electrochem. Soc. 110585 (1963). '
14 H. L. Henneke, J. App!. Phys. 36, 2967 (1965).4267
*
Freeze-In Xenon10 Stellar
10-46 10-44 10-42 10-40 10-38 10-36 10-34 10-32 10-3 10-2 10-1 1 10 102 103 104
[Griffin et al., arXiv:1910.10716]
12/10/2019 Noah Kurinsky
Summary of Work Needed
approaching single events/day are the long-term goal, but even Hz/mm is an excellent start
timing resolution
15
(UIUC)
(UIUC)
(UIUC)
(UIUC)
(UIUC)
(UIUC)
measurement of with THz/IR spectroscopy and M-EELS
S(q, ω)
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calculation of event rate, materials search detector prototype fabrication (MBE, SQUID current sensor)
(FNAL)
prototype testing at low-background cryogenic facility