Quenchings in crystals!

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Quenchings in crystals! Why are they important? Some Models Light Quenching (few comments) Ionization Quenching Measurements Jules Gascon! (IPNLyon, Université Lyon 1 + CNRS/IN2P3)!

Quenching! Background E in kev-equivalent-electron (kev ee ) Calibration with γ rays (produce an electron recoil) Monoenergetic sources easily available WIMP signal E in kev-equivalent-nuclear-recoil (kev NR ) Calibration with neutron scattering (produce a nuclear recoil) Monoenergetic neutron source not as easily available Monoenergetic neutrons produce a continuous recoil energy spectrum Q = factor to convert kev ee to kev NR cdms.berkeley.edu 2

Why do we need quenching?! Needed for energy scale (non-phonon detectors) Two-signal detectors: e - /NR/phonon-only discrimination DAMIC, CoGeNT, DAMA COHERENT CRESST CaWO4 TAUP2017 Signal Phonon Quenching Needed for Energy scale No* Provides good e - /NR discrimination Good discrim. against phonononly events Charge YES YES YES (Q~0.3) Scintillation YES YES Not always (Q~0) 3

Why do we need quenching?! Luke-Neganov amplification of phonon signal transforms phonon signal into charge signal CDMS Lite EDELWEISS-LT γ n n γ Same detector same source Signal Phonon Quenching Needed for Energy scale No* Provides good e - /NR discrimination Good discrim. against phonononly events Charge YES YES YES (Q~0.3) Scintillation YES YES Not always (Q~0) 4

Signals from recoils! Electron recoil vs Nuclear recoil Initial recoil energy Initial recoil energy Ionization (100 %) phonon interaction Displacements, Vibrations Athermal Phonons Ionization (~30 %) phonon interaction Thermal phonons (Heat) Thermal phonons (Heat) (+ No permanent crystaline defects? ) (+ Permanent crystaline defects? ) 5

Electron recoil energy scale (denominator)! Ionization yield (charge/ev) <E e+e-pair > = E GAP + <E kinetic > + <E phonon > ev/pair : 3.0 in Ge, 3.6 in Si Very small temperature dependence between 0 and 77K (kt=0.006 ev) Light yield (photoelectron/ev) Depends on scintillation center concentration in crystal Depends on density of energy deposition Non-linearities at low energy (NaI, CsI) Large temperature dependence (yield & time constants) in general ~20 ev typical value 6

Inorganic scintillators (NaI, CsI, CaWO 4, )! A good scintillator should NOT reabsorb its own light Emission hν>e gap from e - conduction band is easily absorbed by valence e - Emission from less abundant ingap states is much less absorbed ~Birk s rule: if de/dx is large, the population of the in-gap states is saturated: reduced emission per incident kev. Electron recoils are subject to this (E-dependent) quenching. Additional Lindhard quenching for nuclear recoils. Scintillation time constants may be affected: pulse shape discr. 1/ CRESST Recoils in CaWO 4 Derenzo 7

MD simulations of nuclear recoils! Molecular Dynamic Simulations of «hot» atoms produced by a 10 kev Si or Ge recoil (Nordlund, 1998) Permanent damages due to this «femtogray» dose (negligible in metals, but maybe not in semiconductors?) 8

Ion recoils in crystal! S n and S e : Nuclear and electronic stopping power de/dx S n peaked at low energy (100 kev for Ge recoils in Ge) S e = k ε at low energy, and small compared to S n at 100 kev Lindhard, Scharff and Schiøtt (1963): use S n and S e to model of the energy loss during the cascade of ion-ion collisions to calculate the range, the ionization yield and its dispersion Model extensively used and tested, parameterized (k) using data 20 kev Ge recoils in crystal Ge:! Range 20 nm! SRIM 9

Lindhard vs Data! Tested since 1965: simple model fits well 77K 10-100 kev range Measurements more difficult around 1 kev 77K 20 mk 73 Ge(n,nγ) 73 Ge KSU 24 kev filtered n beam 72 Ge(n th,γ) 73 Ge* [NIM A577 (2007) 558] 10

Lindhard critique: threshold effects! See e.g. Sorensen, PRD91 (2015) 083509 Also in: https://kicp-workshops.uchicago.edu/2015-lowecal/index.php Lindhard model assumes interaction between two neutral atoms (with screened Coulomb potential) too simple? But: Threshold energy to excite a e + h - pair (0.7 ev gap) ~100 ev for Ge? Also: average energy to ionize an e - should play a role? S e = k ε - cte 11

Effect on threshold?! 12

Measurement issues! Neutron beam/source Monoenergetic or broad band? Try to avoid MC dependence Detector size, surroundings Multiple scattering inside the detector Scattering of neutron before/after hitting the target Detector calibration near its threshold Difficulty of low-energy γ-ray lines throughout the bulk of the detector Efficiency measurement / trigger bias Tag of neutron scattering angle to reconstruct recoil energy 13

Measurements: Si with tagged n beam! Antonella [arxiv:1702.00873] <700 kev Neutron beam 29 mg Si drift diode target (minimal multiple scattering) Recoil energy deduced from scattering angle + Time of Flight in plastic scintillator counters 14

Si with 124 Sb- 9 Be source! arxiv:1608.00957 9 Be(γ,n): continuous spectrum of <20 kev neutrons Use MC to fit Q model to data Both Si measurements show decrease wrt Lindhard close to 1 kevnr 15

arxiv:1608:03588 / PRD 94 (2016) 122003 Ge: recent Y/Be measurement! 475g PPC detector Fit k_lindhard: 0.179 ±0.001 down to 0.3 kev NR But data starts at 1 kev ee? EDW: 150 ev ee 1 kev ee trick : >30% of 1 kev ee events are N 3 or multiple hits Reliable probe of recoils down to 300 ev NR ~ 40 ev ee? Advantage of a global fit of one model instead of bin-by-bin fit 16

New idea: e-h pair counting! arxiv:1710.09335 Electron-hole pair quantization in a high voltage (160V) cryogenic silicon detector (1 g) [CDMS phonon sensor] Here: pairs created by electron recoil (laser): 3.8 ev/pair in Si Comparable to e-h pair counting achievable in skipper CCDs (SENSEI) Idea: Spacing should change when observing nuclear recoil: spacing = 3.8 ev/qion 17

Ge: phonon quenching?! EDELWEISS, NIM A 577 (2007) 558 If energy loss to permanent damage in nuclear collision, phonon quenching: E phonon =Q phonon E recoil Q phonon extracted by comparing apparent ionization Q ion in cryogenics Ge detectors to direct Q ion measurements Results: damage loss ~ 9±5%, consistent with measurement of Pb recoils in bolometers, and dominated by systematics on calibration and simulation of multiple scattering EDELWEISS tagged surface events [JCAP05 (2016) 019] β 206 Pb recoils in Ge 18

Conclusions! Ionization quenching measurements in Ge & Si at low energy very important to set the energy scale in the experiments DAMIC (Si) and EDELWEISS-LT (Ge) Threshold effects in Lindhard model hunted since 1968, first positive hints in recent Si measurements? To be confirmed in Ge [same physics?]. A detailed understanding of detector physics and of systematic effects is required Clear benefits of discussions within the community New ideas, strategies and collaborations are welcome 19

Quenching the Ge quenching controversies! Caution: sometimes data shown in a way to exacerbate discrepancies as often, in fields where new models abound Basu Thakur, 2015 LowEcal workshop CDMS thesis, Not published Systematics? (see e.g. next slide) Sattler 65 results refuted by Chasman 67,68 (bad analysis of continuum data) 20