Title: Semiconductor detectors
1Semiconductor detectors
- An introduction to semiconductor detector physics
as applied to particle physics
2Contents
- 4 lectures cant cover much of a huge field
- Introduction
- Fundamentals of operation
- The micro-strip detector
- Radiation hardness issues
3Lecture 1 - Introduction
- What do we want to do
- Past, present and near future
- Why use semiconductor detectors
4What we want to do - Just PPE
- Track particles without disturbing them
- Determined position of primary interaction vertex
and secondary decays - Superb position resolution
- Highly segmented ? high resolution
- Large signal
- Small amount of energy to crate signal quanta
- Thin
- Close to interaction point
- Low mass
- Minimise multiple scattering
- Detector
- Readout
- Cooling / support
5Ages of silicon - the birth
- J. Kemmer
- Fixed target experiment with a planar diode
- Later strip devices -1980
- Larger devices with huge ancillary components
- J. Kemmer Fabrication of a low-noise silicon
radiation detector by the planar process, NIM
A169, pp499, 1980
6Ages of Silicon - vertex detectors
- LEP and SLAC
- ASICs at end of ladders
- Minimise the mass inside tracking volume
- Minimise the mass between interaction point and
detectors - Minimise the distance between interaction point
and the detectors - Enabled heavy flavour physics i.e. short lived
particles
7ALEPH
8ALPEH VDET (the upgrade)
- 2 silicon layers, 40cm long, inner radius 6.3cm,
outer radius 11cm - 300mm Silicon wafers giving thickness of only
0.015X0 - S/N rF 281 z 171
- srf 12mm sz 14mm
9Ages of silicon - tracking paradigm
- CDF/D0 LHC
- Emphasis shifted to tracking vertexing
- Only possible as increased energy of particles
- Cover large area with many silicon layers
- Detector modules including ASICs and services
INSIDE the tracking volume - Module size limited by electronic noise due to
fast shaping time of electronics (bunch crossing
rate determined)
10ATLAS
11ATLAS barrel
- 2112 Barrel modules mounted on 4 carbon fibre
concentric Barrels, 12 in each row - 1976 End-cap modules mounted on 9 disks at each
end of the barrel region
12What is measured
- Measure space points
- Deduce
- Vertex location
- Decay lengths
- Impact parameters
13Signature of Heavy Flovours
Stable particles t gt 10-6 s Stable particles t gt 10-6 s ct
n 2.66km
m 658m
Very long lived particles t gt 10-10 s Very long lived particles t gt 10-10 s Very long lived particles t gt 10-10 s
p, K, KL0 2.6 x 10-8 7.8m
KS0, E, D0 2.6 x 10-10 7.9cm
Long lived particles t gt 10-13 s Long lived particles t gt 10-13 s Long lived particles t gt 10-13 s
t 0.3 x 10-12 91mm
Bd0, Bs0, Db 1.2 x 10-12 350mm
Short lived particles Short lived particles Short lived particles
p0, h0 8.4 x 10-17 0.025mm
r,w 4 x 10-23 10-9mm!!
14Decay lengths
E.g. B ? J/Y Ks0
L
Secondary vertex
Primary vertex
L p/m c t
- By measuring the decay length, L, and the
momentum, p, the lifetime of the particle can be
determined - Need accuracy on both production and decay point
15Impact parameter (b)
b distance of closest approach of a
reconstructed track to the true interaction
point
b
beam
16Impact parameter
- Error in impact parameter for 2 precision
measurements at R1 and R2 measured in two
detector planes - af(R1 R2) and function of intrinsic resolution
of vertex detector - b due to multiple scattering in detector
- c due to detector alignment and stability
17Impact parameter
- sb f( vertex layers, distance from main vertex,
spatial resolution of each detector, material
before precision measurement, alignment,
stability ) - Requirements for best measurement
- Close as possible to interaction point
- Maximum lever arm R2 R1
- Maximum number of space points
- High spatial resolution
- Smallest amount of material between interaction
point and 1st layer - Good stability and alignment continuously
measured and correct for - 100 detection efficiency
- Fast readout to reduce pile up in high flux
environments
18Impact parameter
Blue 5mm Black 1mm (baseline) Green 0.5
mm Red 0.1 mm
Effect of extra mass and distance from the
interaction point
Lower Pt
GR Width Flux increase() to silicon Improvement of the IPres. wrt 1mm()
5mm -44 -38.1?0.9
0.5mm 14.1 5.8 ?0.7
0.1mm 27.7 10.0 ? 0.7
Guard Ring Width Impact on d0 Performances and
Structure Simulations. A Gouldwell, C Parkes, M
Rahman, R Bates, M Wemyss, G Murphy, P Turner and
S Biagi. LHCb Note, LHCb-2003-034
19Why Silicon
- Semiconductor with moderate bandgap (1.12eV)
- Thermal energy 1/40eV
- Little cooling required
- Energy to create e/h pair (signal quanta) 3.6eV
c.f Argon gas 15eV - High carrier yield
- ? better stats and lower Poisson stats noise
- Better energy resolution and high signal
- ? no gain stage required
20Why silicon
- High density and atomic number
- Higher specific energy loss
- Thinner detectors
- Reduced range of secondary particles
- Better spatial resolution
- High carrier mobility ? Fast!
- Less than 30ns to collect entire signal
- Industrial fabrication techniques
- Advanced simulation packages
- Processing developments
- Optimisation of geometry
- Limiting high voltage breakdown
- Understanding radiation damage
21Disadvantages
- Cost ? Area covered
- Detector material could be cheap standard Si
- Most cost in readout channels
- Material budget
- Radiation length can be significant
- Effects calorimeters
- Tracking due to multiple scattering
- Radiation damage
- Replace often or design very well see lecture 4
22Radiation length X0
- High-energy electrons predominantly lose energy
in matter by bremsstrahlung - High-energy photons by ee- pair production
- The characteristic amount of matter traversed for
these related interactions is called the
radiation length X0, usually measured in g cm-2. - It is both
- the mean distance over which a high-energy
electron loses all but 1e of its energy by
bremsstrahlung - the mean free path for pair production by a
high-energy photon
23Lecture 2 lots of details
- Simple diode theory
- Fabrication
- Energy deposition
- Signal formation
24Detector p-i-n diode
- Near intrinsic bulk
- Highly doped contacts
- Apply bias (-ve on p contact)
- Deplete bulk
- High electric field
- Radiation creates carriers
- signal quanta
- Carriers swept out by field
- Induce current in external circuit
? signal
n contact ND1018cm-3
ND1012cm-3
p contact NA1018cm-3
25Why a diode?
- Signal from MIP 23k e/h pairs for 300mm device
- Intrinsic carrier concentration
- ni 1.5 x 1010cm-3
- Si area 1cm2, thickness300mm ? 4.5x108
electrons - 4 orders gt signal
- Need to deplete device of free carriers
- Want large thickness (300mm) and low bias
- But no current!
- Use v.v. low doped material
- p rectifying (blocking) contact
26p-n junction
Carrier density
p
n
(5)
(1)
(2)
Electric field
(6)
Dopant concentration
(3)
Electric potential
Space charge density
(4)
(7)
27p-n junction
- take your samples these are neutral but doped
samples p and n- - bring together free carriers move
- two forces drift and diffusion
- In stable state
- Jdiffusion (concentration density) Jdrift
(e-field) - p area has higher doping concentration (in this
case) than the n region
28p-n junction
- Fixed charge region
- Depleted of free carriers
- Called space charge region or depletion region
- Total charge in p side charge in n side
- Due to different doping levels physical depth of
space charge region larger in n side than p side - Use n- (near intrinsic) ? very asymmetric
junction - Electric field due to fixed charge
- Potential difference across device
- Constant in neutral regions.
29Resistivity and mobility
- Carrier DRIFT velocity and E-field
- mn 1350cm2V-1s-1 mp 480cm2V-1s-1
- Resistivity
- p-type material
- n-type material
30Depletion width
- Depletion Width depends upon Doping Density
- For a given thickness, Full Depletion Voltage is
- W 300mm, ND ? 5x1012cm-3 Vfd 100V
31Reverse Current
- Diffusion current
- From generation at edge of depletion region
- Negligible for a fully depleted detector
- Generation current
- From generation in the depletion region
- Reduced by using material pure and defect free
- high lifetime
- Must keep temperature low controlled
32Capacitance
- Capacitance is due to movement of charge in the
junction - Fully depleted detector capacitance defined by
geometric capacitance - Strip detector more complex
- Inter-strip capacitance dominates
33Noise
- Depends upon detector capacitance and reverse
current - Depends upon electronics design
- Function of signal shaping time
- Lower capacitance ? lower noise
- Faster electronics ? noise contribution from
reverse current less significant
34Fabrication
- Use very pure material
- High resistivity
- Low bias to deplete device
- Easy of operation, away from breakdown, charge
spreading for better position resolution - Low defect concentration
- No extra current sources
- No trapping of charge carriers
- Planar fabrication techniques
- Make p-i-n diode
- pattern of implants define type of detector
(pixel/strip) - extra guard rings used to control surface leakage
currents - metallisation structure effects E-field mag ?
limits max bias
35Fabrication stages
- Stages
- dopants to create p- n-type regions
- passivation to end surface dangling bonds and
protect semiconductor surface - metallisation to make electrical contact
- Starting material
- Usually n-
- Phosphorous diffusion
- P doped poly n Si
n- Si
36Fabrication stages
- Deposit SiO2
- Grow thermal oxide on top layer
- Photolithography etching of SiO2
- Define eventual electrode pattern
37Fabrication stages
- Form p implants
- Boron doping
- thermal anneal/Activation
- Removal of back SiO2
- Al metallisation patterning to form contacts
38Fabrication
- Tricks for low leakage currents
- low temperature processing
- simple, cheap
- marginal activation of implants, cant use IC
tech - gettering
- very effective at removal of contaminants
- complex
39Energy Deposition
- Charge particles
- Bethe-Bloch
- Bragg Peak
- Not covered
- Neutrons
- Gamma Rays
- Rayleigh scattering, Photo-electric effect,
Compton scattering, Pair production
40Charge particles- concentrating on electrons
- At ?? ? 3 dE/dx minimum independent of absorber
(mip) - Electrons
- mip _at_ ?1 MeV
- Egt50 MeV radiative energy loss dominates
Momentum transferred to a free electron at rest
when a charged particle passes at its closest
distance, d. integrate over all possible values
of d
41Well defined range
- at end of range specific energy loss increases
- particle slows down
- deposit even more energy per unit distance
Bragg Peak
E 5 MeV in Si (increasing charge)
R (?m) p 220 ? 25 16O 4.3
Useful when estimating properties of a device
42Energy Fluctuation
- Electron range of individual particle has large
fluctuation - Energy loss can vary greatly - Landau
distribution - Close collisions (with bound electrons)
- rare
- energy transfer large
- ejected electron initiates secondary ionisation
- Delta rays - large spatial extent beyond particle
track - Enhanced cross-section for K-, L- shells
- Distance collisions
- common
- M shell electrons - free electron gas
43e/h pair creation
- Create electron density oscillation - plasmon
- requires ?17 eV in Si
- De-excite almost 100 to electron hole pair
creation - Hot carriers
- thermal scattering
- optical phonon scattering
- ionisation scattering (if E gt 3/4 eV)
- Mean energy to create an e/h pair (W) is 3.6
eV in Si (Eg 1.12 eV ? 3 x Eg) - W depends on Eg therefore temperature dependent
44Delta rays
- Proability of ejecting an electron
- with E ? T as a function of T
- b) Range of electron as a
- function of energy in silicon
45Displacement from d-electrons
- Estimate the error
- Assume 20k e/h from track
- 50keV d-electron produced perpendicular to track
- Range 16mm, produces 14k e/h
- Assume ALL charge created locally 8mm from
particles track
46Consequences of d-electrons
- Resolution as function of pulse height
47Consequence of d-electrons
45º
45º
15 ?m
E.g. CCD
300 ?m
Most probable E loss 3.6keV 10 proby of 5keV
? pulls track up by 4 ?m
E.g. Microstrip
Most probable E loss 72keV 10 proby of 100keV
? pulls track up by 87 ?m
48Signal formation
- Signal due to the motion of charge carriers
inside the detector volume the carriers
crossing the electrode - Displacement current due to change in
electrostatics (c.f. Maxwells equations)
- Material polarised due to charge introduction
- Induced current due to motion of the charge
carriers - See a signal as soon as carriers move
49Signal
- Simple diode
- Signal generated equally from movement through
entire thickness - Strip/pixel detector
- Almost all signal due to carrier movement near
the sense electrode (strips/pixels) - Make sure device is depleted
- under strips/pixels
- If not
- Signal small
- Spread over many strips
50Lecture 3 Microstrip detector
- Description of device
- Carrier diffusion
- Why is it (sometimes) good
- Charge sharing
- Cap coupling
- Floating strips
- Off line analysis
- Performance in magnetic field
- Details
- AC coupling
- Bias resistors
- Double sides devices
51What is a microstrip detector?
- p-i-n diode
- Patterned implants as strips
- One or both sides
- Connect readout electronics to strips
- Radiation induced signal on a strip due to
passage under/close to strip - Determine position from strip hit info
52What does it look like?
- P contact on front of n- bulk
- Implants covered with thin thermal oxide (100nm)
- Forms capacitor 10pF/cm
- Al strip on oxide overlapping implant
- Wirebond to amplifier
- Strips surrounded by a continuous p ring
- The guard ring
- Connected to ground
- Shields against surface currents
- Implants DC connected to bias rail
- Use polysilicon resistors MW
- Bias rail DC to ground
53Resolution
- Delta electrons
- See lecture 2
- Diffusion
- Strip pitch
- Capacitive coupling
- Read all strips
- Floating strips
54Carrier collection
- Carriers created around track F ? 1mm
- Drift under E-field
- p strips on n- bulk
- p -ve bias
- Holes to p strips, electrons to n back-plane
- Typical bias conditions
- 100V, W300mm E3.3kVcm-1
- Drift velocity e 4.45x106cms-1 h1.6x106cm-1
- Collection time e7ns, h19ns
55Carrier diffusion
- Diffuse due to conc. gradient dN/dx
- Gaussian
- Diffusion coefficient
- RMS of the distribution
- Since D ? m tcoll ? 1/m
- Width of distribution is the same for e h
- As charge created along a strip
- Superposition of Gaussian distribution
56Diffusion
- Example for electrons
- tcoll 7ns T20oC
- s 7mm
- Lower bias ? wider distribution
- For given readout pitch
- wider distribution ? more events over gt1 strip
- Find centre of gravity of hits ? better position
resolution - Want to fully deplete detector at low bias
- High Resistivity silicon required
57Resolution as a f(V)
Spatial resolution as a function of bias
Vfd 50V
- Vlt50V
- charge created in undeleted region lost, higher
noise - Vgt50V
- reduced drift time and diffusion width less
charge sharing more single strips
58Resolution due to detector design
- Strip pitch
- Very dense
- Share charge over many strips
- Reconstruct shape of charge and find centre
- Signal over too many strips ? lost signal (low
S/N) - BUT
- FWHM 10mm
- Limited to strip pitch ?20mm
- Signal on 1 or 2 strips
59Two strip events
- Track between strips
- Find position from signal on 2 strips
- Use centre of gravity or
- Algorithm takes into account shape of charge
cloud (eta, ?) - Track mid way Q on both strips
- best accuracy
- Close to one strip
- Small signal on far strip
- Lost in noise
60Capacitive coupling
- Strip detector is a C/R network
- Cstrip to blackplace 10x Cinterstrip
- Csb Cis ? ignore Csb
- Fraction of charge on B due to track at A
B
A
C
61Floating strips
- 20mm strip pitch ? s2.2mm
- Large Pitch (60mm)
- Intermediate strip
1/3 tracks on both strips Assume s 2.2mm 2/3 on
single strips s 40/?12 11.5mm Overall s
1/3 x 2.2 2/3 x 11.5 8.4mm
60mm
20mm
20mm
20mm
20mm
Capacitive charge coupling 2/3 tracks on both
strips NO noise losses due to cap coupling 1/3
tracks on single strips s 2/3 x 2.2 1/3 x
20/?12 3.4mm
62Off line analysis
- Binary readout
- No information on the signal size
- Large pitch and high noise
- Get a signal on one strip only
ltxgt 0
P(x)
-½ pitch ½ pitch
63Centre of Gravity
- Have signal on each strip
- Assume linear charge sharing between strips
PHL
PHR
- Q on 2 strips x 0 at left strip
P
x
64Eta function
- Non linear charge sharing due to Gaussian charge
cloud shape
PHL
PHR
More signal on RH strip than predicted with
uniform charge cloud shape Non-linear function
to determine track position from relative
pulse heights on strips
P
x
65Eta function
- Measured tracks as a function of incident
particle flux
- Measured and predicted particle position
66Lorentz force
- Force on carriers due to magnetic force
- Perturbation in drift direction
- Charge cloud centre drifts from track position
- Asymmetric charge cloud
- No charge loss is observed
- Can correct for if thickness B-field known
vh
E
H
qL
ve
67Details
- Modern detectors have integrated capacitors
- Thin 100nm oxide on top of implant
- Metallise over this
- Readout via second layer
- Integrated resistors
- Realise via polysilicon
- Complex
- Punch through biasing
- Not radiation hard
- Back to back diodes depleted region has high R
68Details
- Double sided detectors
- Both p- and n-side pattern
- Surface charge build up on n-side
- Trapped ve charge in SiO
- Attracts electrons in silicon near surface
- Shorts strips together
- p spray to increase inter-strip resistance
69Lecture 4 Radiation Damage
- Effects of radiation
- Microscopic
- Macroscopic
- Annealing
- What can we do?
- Detector Design
- Material Engineering
- Cold Operation
- Thin detectors/Electrode Structure 3-D device
70Effects of Radiation
- Long Term Ionisation Effects
- Trapped charge (holes) in SiO2
- interface states at SiO2 - Si interface
- Cant use CCDs in high radiation environment
- Displacement Damage in the Si bulk
- 4 stage process
- Displacement of Silicon atoms from lattice
- Formation of long lived point defects clusters
71Displacement Damage
- Incoming particle undergoes collision with
lattice - knocks out atom Primary knock on atom
- PKA moves through the lattice
- produces vacancy interstitial pairs (Frenkel
Pair) - PKA slows, reduces mean distance between
collisions - clusters formed
- Thermal motion ?98 lattice defects anneal
- defect/impurity reactions
- Stable defects influence device properties
72PKA
- Clusters formed when energy of PKAlt 5keV
- Strong mutual interactions in clusters
- Defects outside of cluster diffuse form
impurity related defects (VO, VV, VP) - e ? dont produce clusters
73Effects of Defects
EC
e
e
e
e
h
h
h
EV
Generation
Recombination
Trapping
Compensation
Effective Doping Density
Leakage Current
Charge Collection
74Reverse Current
- I ??Volume
- Material independent
- linked to defect clusters
- Annealing material independent
- Scales with NIEL
- Temp dependence
? 3.99 ? 0.03 x 10-17Acm-1 after 80minutes
annealing at 60?C
75Effective Doping Density
- Donor removal and acceptor generation
- type inversion n ? p
- depletion width grows from n contact
- Increase in full depletion voltage
- V ? Neff
? 0.025cm-1 measured after beneficial anneal
76Effective Doping Density
- Short-term beneficial annealing
- Long-term reverse annealing
- temperature dependent
- stops below -10?C
77Signal speed from a detector
- Duration of signal carrier collection time
- Speed ? mobility field
- Speed ? 1/device thickness
- PROBLEMS
- Post irradiation mobility lifetime reduced
- ?? lower ? longer signals and lower Qs
- Thick devices have longer signals
78Signal with low lifetime material
- Lifetime, ?, packet of charge Q0 decays
- In E field charge drifts
- Time required to drift distance x
- Remaining charge
- Drift length, L ? mt
- mt is a figure of merit.
79Induced charge
- Parallel plate detector
- In high quality silicon detectors
- ? ? 10ms, ?e 1350cm2V-1s-1, E 104Vcm-1
- ? L ? 104cm (d 10-2cm)
- Amorphous silicon, L ? 10?m (short lifetime, low
mobility) - Diamond, L ? 100-200?m (despite high mobility)
- CdZnTe, at 1kVcm-1, L ? 3cm for electrons, 0.1cm
for holes
80What can we do?
- Detector Design
- Material Engineering
- Cold Operation
- Electrode Structure 3-D device
81Detector Design
- n-type readout strips on n-type substrate
- post type inversion ? substrate p type ?
depletion now from strip side - high spatial resolution even if not fully
depleted - Single Sided
- Polysilicon resistors
- Wlt300?m thick ? limit max depletion V
- Max strip length 12cm ? lower cap. noise
82Multiguard rings
- Enhance high voltage operation
- Smoothly decrease electric field at detectors
edge
back plane bias
Poly
strip bias
Guard rings
V
83Substrate Choice
- Minimise interface states
- Substrate orientation lt100gt not lt111gt
- Lower capacitive load
- Independent of ionising radiation
- lt100gt has less dangling surface bonds
84Metal Overhang
- Used to avoid breakdown performance deterioration
after irradiation
2
SiO2
p
(1)
(2)
n
1
n
Breakdown Voltage (V)
4?m
0.6?m
p
Strip Width/Pitch
lt111gt after 4 x 1014 p/cm2
85Material Engineering
- Do impurities influence characteristics?
- Leakage current independent of impurities
- Neff depends upon O2 and C
86O2 works for charged hadrons
- Neff unaffected by O2 content for neutrons
- Believed that charge particle irradiation
produces more isolated V and I
V O ? VO V VO ? V2O V2O ? reverse
annealing High O suppresses V2O formation
87Charge collection efficiency
- Oxygenated Si enhanced due to lower depletion
voltage - CCI 5 at 300V
- after 3x1014 p/cm2
CCE of MICRON ATLAS prototype strip detectors
irradiated with 3 1014 p/cm2
88ATLAS operation
Damage for ATLAS barrel layer 1
Use lower resistivity Si to increase lifetime in
neutron field Use oxygenated Si to increase
lifetime in charge hadron field
89Cold Operation
- Know as the Lazarus effect
- Recovery of heavily irradiated silicon detectors
operated at cryogenic temps - observed for both diodes and microstrip detectors
90The Lazarus Effect
- For an undepleted heavily irradiated detector
- Traps are filled ? traps are neutralized
Neff compensation (confirmed by experiment)
B. Dezillie et al., IEEE
Transactions on Nuclear Science, 46 (1999) 221
where
91Reverse Bias
Measured at 130K - maximum CCE CCE falls with
time to a stable value
92Cryogenic Results
- CCE recovery at cryogenic temperatures
- CCE is max at T 130 K for all samples
- CCE decreases with time till it reaches a stable
value - Reverse Bias operation
- MPV 5000 electrons for 300 mm thick standard
silicon detectors irradiated with 2?1014 n/cm2
at 250 V reverse bias and T77 K - very low noise
- Forward bias is possible at cryogenic
temperatures - No time degradation of CCE in operation with
forward bias or in presence of short wavelength
light - same conditions MPV 13000 electrons
93Electrode Structure
- Increasing fluence
- Reducing carrier lifetime
- Increasing Neff
- Higher bias voltage
- Operation with detector under-depleted
- Reduce electrode separation
- Thinner detector ? Reduced signal/noise ratio
- Close packed electrodes through wafer
94The 3-D device
- Co-axial detector
- Arrayed together
- Micron scale
- USE Latest MEM techniques
- Pixel device
- Readout each p column
- Strip device
- Connect columns together
95Operation
-ve
-ve
-ve
ve
ve
-ve
SiO
2
p
h
h
Bulk
n
E
W2D
-
e
-
e
n
W3D
Equal detectors thickness W2DgtgtW3D
ve
E
Carriers drift total thickness of material
Carriers swept horizontally Travers short
distance between electrodes
Proposed by S.Parker, Nucl. Instr. And Meth. A
395 pp. 328-343(1997).
96Advantages
- If electrodes are close
- Low full depletion bias
- Low collection distances
- Thickness NOT related to collection distance
- No charge spreading
- Fast charge sweep out
97A 3-D device
- Form an array of holes
- Fill them with poly-silicon
- Add contacts
- Can make pixel or strip devices
- Bias up and collect charge
98Real spectra
- At 15V
- Plateau in Q collection
- Fully active
Very good energy resolution
993-D Vfd in ATLAS
100Summary
- Tackle reverse current
- Cold operation, -20?C
- Substrate orientation
- Multiguard rings
- Overcome limited carrier lifetime and increasing
effective doping density - Change material
- Increase carrier lifetime
- Reduce electrode spacing
101Final Slide
- Why?
- Where?
- How?
- A major type
- A major worry