Diamond sensors for particle detector applications.
Diamond
offers unique possibilities for
particle detector applications.
This is due to its tightly bound
lattice which results in
extraordinary electrical,
mechanical and thermal
properties. Its atomic structure
results in few free charge
carriers and hence very low
leakage currents in the presence
of an external electric field.
The
electrical properties are
determined largely by its
bandgap of 5.45 eV, which is so
much larger than typical thermal
energies at room temperature.
The pure or “intrinsic” material
has a resistivity in the region
10E+13 – 10E+16 ohm cm, making
it in electrical terms an
insulator, although it is often
referred to as a semiconductor
because of the close similarity
to conventional semiconductors
like silicon and germanium. As
with these materials, doping is
possible, the introduction of
boron yielding p-type diamond.
However
attempts to generate n-type
diamond, usually by phosphorus
doping, have encountered difficulties.
Its high carrier mobility also
suggests that as a simple
ionization detector intrinsic
diamond should work well. Table
1 lists some of the physical
parameters of diamond along with
silicon and gallium arsenide.
One property which is not
immediately apparent from the
table is the radiation tolerance
of the material. We will return
to this later. One of the few
drawbacks of diamond is that the
number of electron-hole pairs
created by a minimum ionizing
particle in diamond is smaller
than in silicon (see Table 1).
This smaller signal stems from
the larger band gap in diamond
and hence the larger energy
necessary to create a pair.
However, when the signal
collection distance, the average
distance of separation before
electron and hole recombine,
approaches the thickness of the
material, the signal in diamond
will be half as big as that in
silicon. Then the many other
advantages of diamond become
real assets.
The other
potential drawback is the cost
of acquiring sufficient diamond
to instrument a significant
surface area. Advances in the
Chemical Vapour Deposition (CVD)
of diamond over the last decade
make the production of large
sheets of synthetic diamond
relatively affordable. As a
result of development work
undertaken to produce
high-energy physics detector
prototypes the charge collection
distance in CVD diamond has
increased from a fraction of a
micron six years ago, to over
several hundred microns today.
The
improvement comes from learning
to grow CVD diamond with low
defect densities and large
crystallites. One way to
accommodate a lower signal in a
sensor is to reduce the noise in
the readout electronics. Here,
several of the physical
properties of diamond are true
assets. The low leakage currents
which result from the material
of high resistivity imply
reduced shot noise. The
dielectric constant of diamond
is half that of silicon (eC =
5.7, eSi = 11.9) thus all load
capacities, in a comparably
laid-out diamond sensor, will be
half those found in silicon.
These facts lead to lower noise
figures
than for comparable silicon
detectors.
Electron and
hole mobilities in CVD-diamond
are large (1800 cm2/Vs and 1600
cm2/Vs, respectively) leading to
fast collection times. In
addition, diamond is an
excellent thermal conductor, a
property which can possibly be
exploited for intelligent
integrated cooling concepts of
pixel vertex detectors.
Tab.1 Comparison of materials
properties between diamond and other semiconducting materials
|
Bulk single crystal |
CVD diamond film |
|
Properties |
Diamond |
Si |
GaAs |
SiC |
cBN |
Polycrystal |
HOD |
Heteroepi |
|
|
Lattice constant (A) |
3.567 |
5.431 |
5.653 |
4.359 |
3.615 |
|
|
|
|
|
Density (g/cm3) |
3.52 |
2.42 |
5.32 |
3.16 |
3.48 |
|
|
|
|
|
Thermal conductivity (W/cm K) |
20-150max |
1.5 |
0.5 |
4.9 |
13 |
|
|
|
|
|
Dielectric constant |
5.68 |
11.7 |
10.9 |
9.7 |
7.1 |
|
|
|
|
|
Refractive index |
2.41 |
3.44 |
3.75 |
2.48 |
2.12 |
|
|
|
|
|
Bandgap (eV) |
5.47 |
1.11 |
1.43 |
2.23 |
6.6-8.0 |
5.47 |
5.47 |
5.47 |
|
|
Mobility |
Electron |
1800 |
1350 |
8600 |
1000 |
1500 |
|
|
|
|
Hole |
1600 |
480 |
400 |
70 |
450 |
<100 |
~300 |
<1400 (homoepi) |
|
|
Energy to creat e-h pair [ev] |
13 |
3.6 |
4.2 |
||||||
|
Radiation length [cm] |
12 |
9.4 |
2.3 |
||||||
|
Avarage signal [e] 100 um |
3600 |
8000 |
13000 |
||||||
|
Saturation velocity (10^7 cm/s) |
2.7 |
1.0 |
2.0 |
2.7(e) |
|
|
|
|
|
|
Breakdown field (10^5 V/cm) |
100 |
3 |
4 |
30 |
|
|
|
|
|
Of course,
the main interest in diamond, as
a replacement for silicon, lies
in its significantly greater
radiation tolerance. Work
continues to understand the
ultimate dose that diamond will
survive in a particle detector.
There are
three primary manifestations of
radiation damage in solid state
sensors. One is the trapping of
moving charges which reduces the
signal, the second is an
increase in the effective doping
concentration Neff which changes
the space charge in the detector
substrate material
The tightly
bound lattice structure of
diamond suggests that it will be
insensitive to large doses of
radiation. Previous studies of
neutrons and 1.5 MeV electrons
have shown that natural diamond
is very resistant to both types
of damage. Exposing CVD diamond
samples to photons (1.2 and 1.3
MeV) from a 60Co source and to 5
MeV alphas, no damage was seen
from the photons, while the
charge collection properties
were unchanged beyond fluences
of 10E+13 alphas per cm2. This
work leads us to conclude that
diamond sensors survive fluences
beyond 10E+15 cm2, which should
allow their use at radii of less
than 10 cm in a general purpose
LHC tracker. At this stage it
only remains to test material of
the highest possible quality to
ensure that it is no less
radiation tolerant.
In conclusion
we can assert that silicon
sensors are the heart of the
next generation of high-energy
physics trackers. Plans to
construct strip and pixel
detectors and configure them in
the LHC experiments are well
advanced. Still radiation
resistance in the inner-most
regions of these experiments
remains a concern. CVD diamond
sensors offer a possible cure
for the finite lifetime of
silicon in these regions. In the
coming year it should be
possible, by actively working
with manufacturers, to obtain
large-area high-quality CVD
diamonds.
References
-
N. Wermes Characterization of a
Single Crystal Diamond Pixel Detector in a High Energy Particle Beam ,
http://iopscience.iop.org/0034-4885/63/8/203/pdf/0034-4885_63_8_203.pdf. July 2006.
- M. Krammer,, et al CVD diamond sensors for charged particle detection, Diamond and Related Materials, Volume 10, Issues 9-10, September-October 2001, Pages 1778-1782
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