Future silicon trackers: 4D tracking, very high fluences, very small - - PowerPoint PPT Presentation

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Future silicon trackers: 4D tracking, very high fluences, very small - - PowerPoint PPT Presentation

N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019 Future silicon trackers: 4D tracking, very high fluences, very small pixels Nicol Cartiglia INFN - Italy 1 Outline N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019 A brief history of


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  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Future silicon trackers: 4D tracking, very high fluences, very small pixels

Nicolò Cartiglia INFN - Italy

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  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Outline

  • A brief history of silicon trackers
  • Requests for the next generation of silicon trackers
  • 4D tracking:
  • what is it
  • is it possible?
  • Sensors for extreme fluences
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A brief history

The beginning of the Silicon detector era is set in the period 1978-1982, and the NA11/NA32 experiments are credited to be the first one to have used a silicon tracker Shortly after, successful tests of silicon strip detectors with VLSI readouts were carried out in 1985. During the 1990s, CDF and the LEP experiments were instrumented with Silicon trackers, with the electronics at the edges. Here at DESY, we even manufactured a curved silicon detector, to be placed near the proton beam. The ZEUS experiment was also instrumented with the silicon vertex detectors

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Evolution up to LHC

This incredible evolution was made possible by the development of the “silicon” industry and by the collaboration of our community with several silicon foundries

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The LHC and HL-LHC era

Taken from Doris Eckstein

Incredible development of manufacturing capability Very good understanding of the silicon properties under irradiation: modelling of silicon detectors and the effect of irradiation is well modelled. Similar development in read-out capability HL-LHC: the CMS-ATLAS upgrades are very large, however, they are in spirit similar to the present LHC detectors. Higher radiation levels, more channels and much more performing electronics. One novel request: need to measure the time of each track, to bundle correctly the tracks of each vertex.

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What’s next

There are many futures in Silicon trackers: some are clever redesigns of existing systems, some requires much higher radiation tolerance, some extremely good position resolution. One of the most challenging design: the Future Circular Collider tracker Tracker requirements: position: 7.5 - 9.5 μm time resolution = 5 ps Radiation levels: up to ~1E17 n/cm2 Note: there are many R&D directions in Silicon detectors. This presentation is not a review but it is about a possible future.

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Tracking particles in space and time at FCC

First question: Can we design a single detector that can concurrently measure (a) time with ~ 10 ps precision (b) position with ~ 10 micron precision This is an extraordinary challenge in sensor design and ASICs Second question: can we make silicon detectors able to work at fluences about 1E16 – 1E17 n/cm2? A lot has been understood regarding the design of radiation hard silicon detectors, with a key contribution from Hamburg, however, currently we don’t know how to do design a sensor for extreme fluences, F = 1E16 – 1E17 n/cm2

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First question: ~ 10 micron and 10 ps precision

Silicon sensors were never considered accurate timing devices However, in the last 10 years there has been a very intense R&D At present, silicon sensors are the ONLY detector able to provide excellent timing capability (~ 30 ps) , good radiation hardness (fluence ~ 1E15 n/cm2), good pixelation (10um – 1 mm), and large area coverage (many m2) Important: Sensors provide the current signals, read-out chips use them Timing is the to combination of these two parts, that succeed and fail together

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The effect of timing information

The inclusion of track-timing in the event information has the capability of changing radically how we design experiments. Timing can be available at different levels of the event reconstruction, in increasing order of complexity: 1) Timing in the event reconstruction è Timing layers (time, position)

  • this is the easiest implementation, a layer ONLY for timing

2) Timing at each point along the track è 4D tracking (time, position)

  • tracking-timing

3) Timing at each point along the track at high rate è 5D tracking (time, position, and rate)

  • Very high rate represents an additional step in complication, very different read-out

chip and data output organization

Timing

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Signal formation in silicon: induced current

Signal shape is determined by Ramo’s Theorem:

Drift velocity Weighting field

The charge carriers motion induces variable charge on the read-out electrode. The signal ends when the charges are collected

Induced charge

++++ ++++++

i ∝qvEw

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The sensors’ role: provide good signals

The goal of a sensor designer is to minimize the differences in the sensor’s output, providing well defined, uniform current signals to the electronics. The prerequisite for this goal is the capability of simulating the physics of the particle-sensor interaction. Chip designers need to test their solutions on a realistic sets of current signals that reproduce the full variability of the sensor’s output. Good sensor simulation is necessary to achieve excellent time resolution

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Simulator Weightfield2

Available at: http://personalpages.to.infn.it/~cartigli/Weightfield2/Main.html It requires Root build from source, it is for Linux and Mac. It will not replace TCAD, but it helps in understanding the sensors response

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Weightfield2 and friends

Weightfield2:

  • It is completely open source
  • It is fast
  • It generates the signal from several sources (MIP, alpha, lasers..)
  • Runs in batch mode writing output files
  • It loads/save configurations
  • It has basics electronics simulation

It crashes occasionally Other simulators: KDrtSim, https://indico.desy.de/indico/event/12934/session/3/contribution/26/material/slides/ TRACS https://indico.desy.de/indico/event/12934/session/3/contribution/29/material/slides/

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The art of weighing field

Calculating the correct weighting field for a variety of situations is a very difficult task. Most of the time we rely on simulator to do it. Please note a series of papers that are approaching this problem analytically:

  • W. Riegler, “An application of extensions of the Ramo-Shockley theorem to signals in

silicon sensors” Nucl.Instrum.Meth. A940 (2019) 453-461 arXiv:1812.07570 Academic training at CERN: https://indico.cern.ch/event/843083/ Joern Schwandt, Robert Klanner, On the weighting field of irradiated silicon detectors, https://arxiv.org/abs/1905.08533

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Silicon time-tagging detector

The timing capabilities are determined by the characteristics of the signal at the output of the pre-Amplifier and by the TDC binning.

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Time is set when the signal crosses the comparator threshold

(a simplified view)

Strong interplay between sensor and electronics

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Time resolution

Usual “Jitter” term Here enters everything that is “Noise” and the steepness of the signal Amplitude variation: variation in the total charge Shape distortion: non homogeneous energy deposition total current electron current hole current total current electron current hole current

Need large dV/dt

!"

# =

%&'() *+/*"

#

+ ∆'&/'01"'&/ # + ∆(213) # + 456 #

Sensor design Subleading, ignored here

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Sensor geometry: how to minimize its contribution to !"

#

Signal shape is determined by Ramo’s Theorem:

i ∝qvEw

Drift velocity Weighting field The key to good timing is the uniformity of signals: Drift velocity and Weighting field need to be as uniform as possible Basic rule: parallel plate geometry

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Larger dV/dt from thick detectors?

Qtot~ 75 q*d

The initial current for a silicon detector does not depend

  • n how thick (d) the sensor is:

i = Nq k d v = (75dq) k d v = 75kqv ~1−2*10

−6 A

Number of e/h = 75/micron Weighting field velocity

è Initial current = constant

(Simplified model for pad detectors)

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

D d +

  • +
  • +
  • +
  • +
  • +
  • +
  • Thick detectors have higher number of charges:

However, the weighting field is 1/d, so each charge contributes to the initial current as:

i ∝qv 1 d

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Summary “thin vs thick” detectors

(Simplified model for pad detectors)

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

D d +

  • +
  • +
  • +
  • +
  • +
  • +
  • Thick detectors have longer signals, not higher signals

i(t)

Thin detector Thick detector

S

dV dt ~ S tr ~ const

We need to add do something about this problem…

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On the road, summary - I

The study of the signal in silicon sensors has highlighted a few crucial aspects:

  • The signal in rather small, the initial current is a constant and dV/dt cannot be made

steeper using thinner/thicker sensors

  • The fluctuation of ionization (Landau noise) are a physical limit to the time resolution
  • The geometry of the sensor needs to be as much as possible similar to a “parallel plate”

capacitor

  • The noise of the electronics is crucial in determining the jitter
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Gain in Silicon detectors

21

Gain in silicon detectors is commonly achieved in several types of sensors. It’s based

  • n the avalanche mechanism that starts in high electric fields: V ~ 300 kV/cm
  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Silicon devices with gain:

  • APD: gain 50-500
  • SiPM: gain ~ 104

Charge multiplication Gain:

G = eα l

( ) ( )

÷ ÷ ø ö ç ç è æ- ¥ = E b E

h e h e h e , , ,

exp * a a

a = strong E dependance a ~ 0.7/µm for electrons, a ~ 0.1/um for holes

  • +
  • +
  • +

+ +

  • +
  • +
  • +
  • +

+ +

  • +

+

  • DV ~ 300 kV/cm

Concurrent multiplication of electrons and holes generate very high gain

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Standard vs Low Gain Avalanche Diodes

The LGAD sensors, proposed and manufactured for the first time by CNM (National Center for Micro-electronics, Barcelona): High field obtained by adding an extra doping layer E ~ 300 kV/cm, closed to breakdown voltage LGAD optimized for timing applications are often called Ultra Fast Silicon Detector (UFSD)

zoom

Drift area with gain 0.5 – 2 um long

Gain implant Gain layer

E field Traditional silicon detector Low Gain Avalanche Diode E field

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How gain shapes the signal

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+

  • +

+

  • Gain electron:

absorbed immediately Gain holes: long drift home Initial electron, holes

Electrons multiply and produce additional electrons and holes.

  • Gain electrons have almost no effect
  • Gain holes dominate the signal

è No holes multiplications

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Interplay of gain and detector thickness

The rate of particles produced by the gain does not depend on d (assuming saturated velocity vsat)

dNGain ∝75(vsatdt)G

Particles per micron Gain

Gain layer

  • Gain

digain ∝ dNGainqvsat( k d )

è Constant rate of production è Gain current ~ 1/d However the initial value of the gain current depends on d (via the weighing field)

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

A given amount of new carriers has much more effect on thin detectors

Gain Layer

+ +

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Gain current vs Initial current

è Go thin!!

(Real life is a bit more complicated, but the conclusions are the same)

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

300 micron: ~ 2-3 improvement with gain = 20

Significant improvements in time resolution require thin detectors

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Gain and Signal current

iMax ∝Gain

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

i(t) The rise time depends only on the sensor thickness ~ 1/d thin medium

dV dt ∝ G d

t t1 t2 t3 thick

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UFSD time resolution summary

The UFSD advances via a series of productions. For each thickness, the goal is to obtain the intrinsic time resolution Achieved:

  • 20 ps for 35 micron
  • 30 ps for 50 micron

Resolution without gain

UFSD1 UFSD2, 3

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The higher tail of the Landau distribution is populated by events with very high ionization. These events contain a strong secondary ionization component, such as that caused by delta rays.

28

The shape of the events in these bins varies a lot, so they have worse time resolution

Gain, amplitude, and position in the Landau

signals generated by 120GeV/c pions crossing a 50 micron thick UFSD

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Consider the holes’ drift velocity

Vholes never saturates, so higher the voltage, better dV/dt is

The rise time depends

  • n the electrons’ drift

velocity

i ∝qvEw

The amplitude depends on:

  • Holes’ drift velocity (Bias)
  • Gain

!"##$%

&

= ()*+$ ,-/,#

&

~ ()*+$ 0/#%*+$

&

trise A

The combination of gain and bias determines dV

Bias: 150V 50 micron 530V

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The effect of the “never saturating” holes’ drift velocity

5 10 15 20 25 30 35 40 100 200 300 400 500 600 700 800

Gain Bias [V]

30-35 ps 35-40 ps 40-45 ps 45-50 ps 50-60 ps

  • Expon. (HPK 50C -20C)
  • Expon. (HPK 3.1 -30C)
  • Expon. (FBK UFSF3 W5 -30C)
  • Expon. (HPK 3.2 20C)
  • Expon. (HPK 50D -20C)
  • Expon. (FBK UFSF2 W6 -20C)
  • Expon. (FBK UFSF2 W8 -20C)

At lower bias, higher gain is needed to achieve a resolution of 30-35 ps HPK 3.2: too doped, very poor time resolution

Time resolution for new UFSD FBK & HPK sensors in the bias-gain plane

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LGAD producers

Currently there are 6 companies that either have produced, or are about to produce LGADs FBK, Italy CNM, Spain Hamamatsu, Japan Up coming: Brookhaven National Lab, USA NDL China Micron, England Maybe more

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Electronics: What is the best pre-amp choice?

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Current Amplifier Charge Sensitive Amplifier

Current signal in a 50 mm sensor Energy deposition in a 50 mm sensor

  • Fast slew rate
  • Higher noise
  • Sensitive to Landau

bumps

  • Slower slew rate
  • Quieter
  • Integration helps the

signal smoothing WF2 simulation WF2 simulation

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Electronics

Pads with gain Current due to gain holes creates a longer and higher signal

2 sensors

Pads with no gain Charges generated uniquely by the incident particle

Simulated Weightfield2

Oscilloscope

Gain 50 micron Much easier life!

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

To fully exploit UFSDs, dedicated electronics needs to be designed. The signal from UFSDs is different from that of traditional sensors

No Gain, 300 micron No 300 micron WF2 simulation

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Consideration on the read-out chip

  • The design and production of a large (2x2 cm2, 500 channels) ASIC for timing is a

very complex operation

  • Analog pre-amplifier
  • Power consumption,
  • Clock distribution,
  • TDC design
  • It requires years (3-4 year is our present timescale), a lot of manpower and money
  • It might not work
  • Many groups working on this problem, exploring different technologies (CMOS 130

nm, 65 nm, 28 nm, SiGe, monolithic etc)

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Pixel termination and position resolution

Particles hitting a pad create charges underneath the multiplication layer: no delay between the passage of the particle and the start of multiplication

p-stop

p bulk

Gain implant n++

+

  • +
  • +
  • +
  • Particles hitting between pads

create charges far from the multiplication layers: they generate late signals

p-stop

p bulk

Gain implant n++

+

  • +
  • +
  • +
  • 10 um = 100 ps

~50 um As in every n-in-p sensor, the pads need to be isolated Unwanted consequence: late signals

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A solution and a problem

Solution: add a deep n implant to collect the charges in the interpap

p-stop

p bulk

Gain implant n++

+

  • +
  • +
  • +
  • Deep implants collect the charge carriers preventing their

multiplications:

  • signals that are “out of time” are not multiplied
  • Setting a threshold high enough allows to be blind to the

interpad signals 10 um = 100 ps No gain area We solved the “isolation” and the “late signals” problems, however we have created a “no gain” area of ~ 30-40 micron: impossible to make small pixels!

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Position resolution: trenches

No gain area JTE + p-stop design Trench design R&D goal Current version

Trenches (the same technique used in SiPM):

  • No pstop,
  • No JTE è no extra electrode bending the field lines

FBK run @ RD50

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On the road, summary - II

Key points to achieve excellent position and timing performances.

  • 1. Thin sensors to maximize the slew rate (dV/dt)
  • 2. Parallel plate – like geometries (pixels..) for most uniform weighting field
  • 3. High electric field to maximize the drift velocity
  • 4. Small size to keep the capacitance low
  • 5. Small volumes to keep the leakage current low (shot noise)
  • 6. Use trench isolation
  • 7. Know someone that can design a read-out chip for you
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Irradiation effects – the LGAD point of view

Irradiation causes 3 main effects:

  • Decrease of charge collection efficiency due to trapping
  • Doping creation/removal
  • Increased leakage current, shot noise

LGAD are particularly sensitive to the doping creation/removal, as it changes the electric field and therefore the gain.

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Nicolo Cartiglia, INFN, Torino – Tracking in 4D

Sensitivity to doping changes

The amount of doping in the gain implant strongly affect the gain value +3% doping doubles the collected charge

  • 4% halves the collected charge

The bias can be adjusted to keep the charge constant as the doping in the GL changes.

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Acceptor removal

Unfortunate fact: irradiation de-activate p- doping removing Boron from the reticle

Boron Radiation creates interstitial defects that inactivate the Boron: Si_i + B_s è Si_s + B_i B_i might interact with Oxigen, creating a donor state Gallium From literature, Gallium has a lower probability

  • f becoming interstitial

Carbon Carbon competes with Boron and Gallium in reacting with Oxigen

Two possible solutions: 1) use Gallium, 2) Add Carbon

! ∅ = ! $ ∗ &'(∅

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LGAD radiation hardness improvement

Defect Engineering of the gain implant

  • Carbon co-implantation mitigates the gain loss after irradiation
  • Replacing Boron by Gallium did not improve the radiation hardness

Modification of the gain implant profile

  • Narrower Boron doping profiles with high concentration peak (Low Thermal Diffusion)

are less prone to be inactivated

Boron + Carbon Gallium + Carbon Gallium Boron (High Diff) Boron (Low Diff)

Doping Concenration (a.u).

Boron profile

Acceptor removal is no understood from a microscopic point of view

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Time resolution

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First timing layer: CMS Endcap Timing Layer

~ 16000 sensors:

  • 2x4 cm2 --- small sensors
  • Thickness of active area: 40-50 microns
  • Pad size: 1.3 x 1.3 mm2 (512 pads)

7 m2 of sensors

  • n each side

First detector for precision timing in Silicon

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Second question: silicon at fluences about 1E16 – 1E17 n/cm2?

Very large volume with fluence in the range 1E16-1E17 n/cm2

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  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Silicon at fluences about 1E16 – 1E17 n/cm2?

Irradiation causes 3 main effects:

  • Decrease of charge collection efficiency due to trapping
  • Doping creation/removal
  • Increased leakage current, shot noise

(F~5E15 n/cm2) ) VFD >> VBias

750V

(New) VFD << VBias

200V 500V

(F~1E15 n/cm2) VFD ~ 0.5 VBias

Irradiation models developed in the fluence range 1E14 – 1E15 n/cm2 predict standard silicon detectors (~ 200 um thick) almost impossible to operate è Mission impossible Partially depleted at very high Vbias Fully depleted at low Vbias Fully depleted at high Vbias

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A new hope: saturation of displacement damage

At high fluence the damage might saturate since clusters of damage start overlapping Overlapping clusters

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2D calculations of superposition

Probability of hitting an empty square of area 1 Å2

  • What is the probability of a particle to hit a square of 1 Å2 that has not been hit before?

At 1E16 n/cm2 only 30% of particles will hit an “empty square” Note: Silicon lattice has a cube of 5 Å; every cell has already been hit at 1E15. Damage on damaged Silicon probably has different consequences.

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Evidence of Saturation

There is a consensus building that:

  • Low fluence extrapolations do not work at all
  • Go out and measure to get anything working at extreme fluences

Marko Mikuž at AIDA2020 Topical Workshop on Future

  • f Tracking, Oxford, April 2nd, 2019

Charge trapping

Saturation is a key aspect of the R&D in the next few years, we should learn how to take advantage of this effect The bottom line is: Silicon detectors irradiated at fluences 1E16 – 1E17 n/cm2 do not behave as expected, they behave better

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Use thin sensors

What does it happen to a 25-micron sensor after a fluence = 5E16 n/cm2?

  • Trapping is almost absent
  • It can still be depleted
  • Leakage current is low (small volume)

However: Charge deposited ~ 0.25 fC è Need a gain of at least ~ 5 in order to provide enough charge

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Sensors evolution with fluence

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  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Use thin (25 um) LGAD sensors: as the irradiation deactivate the gain layer, increase bias to obtain gain in the bulk Below 5E15 n/cm2 è Use LGAD design to obtain a gain of ~ 5 without breakdown è Vbias controls gain

Above 5E15 n/cm2

è is the gain still there? è Is the mobility decreasing to a point where no gain is possible? è Damaged bulk acts as a quenching resistor? è No holes multiplications?

  • +

+++ +++++

n-in-p

Gain:

  • Gain layer
  • Bulk
  • +++++

+++++ +++++

n-in-p

Gain:

  • Gain layer

Trenches

(F~1E16 n/cm2) ) VFD < VBias

500V

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Putting things together

Future trackers need to provide:

  • Accurate timing
  • Excellent pixellation
  • Be very rad-hard

A very simplified design:

  • Very inner layer:

Ø Position, thin sensors, with small gain

  • Medium – far away layers:

Ø timing layers Ø Position, thick sensors Note: Limited number of timing layer: probably, they require too much power

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One sensor does not fit all

Silicon sensors for tracking come in many shapes, fitting very different needs:

  • Spatial precision: from a few microns to mm (pixels, strips)
  • Area: from mm2 up to hundred of square meter
  • Radiation damage: from nothing to >1E16 neq/cm2 (3D, thin planar, thick planar)

Likewise, silicon sensors for time-tracking are being developed to fit different needs with respect of time and space precision. Depending on the amount of optimization, several resolution ranges can be identified

  • Excellent time precision ~ 10-20 ps per plane è small area, lot’s of power
  • Very good precision ~ 30-50 ps per plane è large area, medium power
  • Good time precision ~ 50-100 ps per plane è relaxed
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Summary and outlook

  • Building the next generation of trackers is a formidable challenge
  • The requirements become more demanding (5 ps, 5 um, few ~100m2)
  • At FCC, the fluence will be unprecedented
  • New development in Silicon detectors suggest some (all) of these demands can be met
  • The key is a strong R&D activity over the next decade

There are no real alternatives: hopefully, as it happened in the past, Silicon detectors will be the enabling technology to new discoveries

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  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Acknowledgments

We kindly acknowledge the following funding agencies, collaborations: Ø INFN - Gruppo V Ø Horizon 2020, grant UFSD669529 Ø Horizon 2020, grant no. 654168 (AIDA-2020) Ø U.S. Department of Energy grant number DE-SC0010107 Ø Dipartimenti di Eccellenza, Univ. of Torino (ex L. 232/2016, art. 1, cc. 314, 337)

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Bonus

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Signal shape for equal gain at different biases

The electrons’ drift velocity saturates at about ~ 150V. The holes’ drift velocity never

  • saturates. For equal gain:

Higher bias è higher dV/dt

Bias = 500V, gain = 9 Bias = 170V, gain = 9 Bias = 120V, gain = 9 low bias high bias medium bias

Equal rise time: saturated electron drift velocity

For equal gain, better resolution at higher voltage

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Effect of acceptor removal

To some extent, the gain layer disappearance might be compensated by increasing the bias voltage

Acceptor removal, Gain layer deactivation

! ∅ = ! $ ∗ &'(∅

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Acceptor removal data

Acceptor removal coefficient

Puzzle: the removal of acceptor depends on their density è the removal is slower for higher densities

! ∅ = ! $ ∗ &'(∅

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Time walk corrections

10% t1 t2 Vth t t V V

Constant Fraction Time-over-Threshold

(a) (b)

On paper both seem feasible, in practice ToT is much easier to implement What is the influence of the sensor on the level of the CFD or of Vth?

10% t V V

Constant Fraction

(a)

Amplitude My favorite: ToA and Amplitude è The tail of the signal is prone to large changes due to charge trapping ToA

(C)

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What is the signal of one e/h pair?

However the shape of the signal depends on the thickness d: thinner detectors have higher slew rate D + - d + -

(Simplified model for pad detectors)

  • N. Cartiglia, INFN. Terascale meeting - 27-Nov-2019

Let’s consider one single electron-hole pair. The integral of the current is equal to the electric charge, q:

[iel(t)+ih(t)]dt = q

i(t) t

Thin detector Thick detector

i ∝qv 1 d

è One e/h pair generates higher current in thin detectors Weighting field

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RD50 production of trenched LGAD

Common RD50 run with FBK: preproduction run demonstrated the proof of principle: nice isolation and nice gain

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Electric fields in Silicon sensors

Gain happens when the Efield is near the critical values, 300 kV/cm 3 methods to increase Efield: 1. Doping in the bulk 2. Doping in the gain layer 3. Bias

  • The “low gain avalanche diode” offers the most stable situation
  • Gain due to interplay between gain layer and bias