MENA9510 characterization course: C-V measurements 27.10.2014

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MENA9510 characterization course:
C-V measurements
27.10.2014
Halvard Haug
Outline
•
•
•
•
•
•
Overview of interesting sample structures
Ohmic and schottky contacts
Why C-V for solar cells?
The MOS capacitor
The C-V curve
Calculation of Qf
Suggested reading
• Schroder, D. K. (2006). Semiconductor material and device
characterization, Chapter 6. (I have a PDF!)
• Principles of Electronic Devices:
– http://ecee.colorado.edu/~bart/book/book/toc6.htm
Interesting structures:
• Ohmic contacts
– Necessary for reliable electrical measurements
• I-V
• Resisitivity
• Hall
• Rear contact for C-V and G-V
– Make good solar cells!
• Schottky contacts
– Characterization of bulk material
• Bulk defect levels (DLTS)
• Doping profiling (CV)
– (Induced-junction solar cells)
Interesting structures:
• PN-junctions
– Devices (solar cells, duh..)
– Rectifying junctions for characterization
• DLTS ++
• MIS capacitors
– Important component in many devices
• Field effect transistors,
• Solar cell coating layers
– Characterization of insulator,
interface and underlying semiconductor
Metal-semiconductor contacts
Schottky contact
Evac
Metal
qφm
>
qχsc
Ef,s
Ef,m
n-Si
Schottky contact
Evac
Metal
Ef,s
Ef,m
n-Si
Schottky contact
Evac
Metal
Ef,s
φB
Ef,m
---
+++
Neutral n-type
n-Si
Schottky contact
Evac
Metal
n-Si
φB
+
Ef,m
Ef,s
-
Schottky contact
Evac
Metal
n-Si
φB
-
Ef,m
Ef,s
+
Ohmic contact
Evac
Metal
Ef,s
Ef,m
n-Si
Ohmic contact
Evac
Metal
qφm
<
qχsc
Ef,m
Ef,s
n-Si
Ohmic contact
Evac
Metal
Ef,m
Ef,s
n-Si
Ohmic contact
Evac
Metal
n-Si
Ef,m
Ef,s
Accumulation
of electrons near
the surface
No schottky barrier
+++
---
Neutral n-type
Metal/silicon barrier heights
http://www.cleanroom.byu.edu/ohmic-schottky.phtml
Metallization techniques
• Deposition
– Thermal evaporation
– Sputtering
– E-beam
– Metal CVD
– Screen printing
– +++
(IFE, MiNaLab)
(IFE)
(MiNalab)
(?)
(IFE)
How to: ohmic contacts
• What is an ideal ohmic contact?
– Zero voltage drop
– Maintains equilibrium carrier concentrations for
all currents
– But: Infinite recombination
I
velocity
V
How to: ohmic contacts
• General
– Pick metal with the “right” φM?
• Not always a good approach
• Practice deviates from theory:
– Interface states
– Interfacial oxides
– Mirror charges
• “All semiconductor/metal
junctions are rectifying”
How to: ohmic contacts
• General
– In practice:
• High surface doping
• Tunneling
• (Large area)
– Note: Surface damage
is not a problem, might
be beneficial
φB
n++
n
How to: ohmic contacts
• Trick for p-type silcon:
– Al + heat treatment
Current (mA)
25
Al
Al/Si
20
15
Si (p++)
10
Si (p)
5
0
– 10 min 450 °C
– Tested with evaporated
and sputtered contacts
– Also works on 50 nm a-Si
-1,5
-1
-0,5
0
-5
-10
-15
-20
-25
0,5
1
Voltage (V)
1,5
How to: schottky contact
• General
– Larger barrier height is better
– Important to have an abrupt interface with few
surface defects
• Remove oxide with HF
• Deposit metal carefully under high vacuum and low T
• Evaporation probably better than sputtering due to
surface damage
C-V characterization of MOS structures
Traditional main motivation: MOSFETs
Metal-Oxide-Semiconductor Field-Effect Transistor:
SiO2, tox
Gate
Source
Substrate
Drain
Our main motivation(?):
Solar cell surface layers
n++
p
Why surface passivation?
Wafer
quality
Cell quality
How can we reduce the SRV?
SRV depends upon:
ns
n-Si
Ec
EF
Dit(E)
Ev
ps
How can we reduce the SRV?
ns
Two main strategies for
surface
n-Si passivation:
Ec
Dit(E)
ps
EF
Ev
How can we reduce the SRV?
ns
Two main strategies for
surface
n-Si passivation:
Ec
Dit(E)
• Chemical passivation
ps
EF
Ev
How can we reduce the SRV?
ns
Two main strategies for
surface
n-Si passivation:
Ec
Dit(E)
• Chemical passivation
ps
EF
Ev
• Field effect passivation
How can we reduce the SRV?
ns
n-Si
Ec
Dit(E)
ps
EF
Ev
• Field effect passivation:
How can we reduce the SRV?
+
Qf +
+
ns
• Field effect passivation:
n-Si
-
Dit(E)
ps
Ec
Fixed charges in
passivation layer
EF
Ev
Qf
The MOS capacitance
𝑑𝑄𝑔
𝐢=
𝑑𝑉𝑔
𝑄𝑔 = − 𝑄𝑠 + 𝑄𝑖𝑑
𝑑𝑄𝑠 + 𝑑𝑄𝑖𝑑
𝐢=−
π‘‘π‘‰π‘œπ‘₯ + π‘‘πœ™π‘ 
𝑄𝑠 = 𝑄𝑛 + 𝑄𝑝 + 𝑄𝑏
𝐢=
1
1
1
+
πΆπ‘œπ‘₯ 𝐢𝑝 + 𝐢𝑏 + 𝐢𝑛 + 𝐢𝑖𝑑
The MOS capacitance
M
V=0
O
S
Negative V οƒ  accumulation
M
O
-V
πœ“π‘  < 0
S
Negative V οƒ  accumulation
M
O
-V
πœ“π‘  < 0
S
V = 0 οƒ  Flat band conditions
M
O
S
V=0
𝐿𝐷𝑖
πœ“π‘  = 0
Small positive V οƒ  depletion
M
O
S
+V
π‘Š
πœ“π‘  = πœ“π΅
Large positive V οƒ  inversion
(Low frequency)
M
O
S
+V
πœ“π‘  > 2πœ“π΅
Large positive V οƒ  inversion
(Low frequency)
M
O
S
+V
πœ“π‘  > 2πœ“π΅
Large positive V οƒ  inversion
(High frequency)
M
O
S
+V
π‘Š
πœ“π‘  > 2πœ“π΅
The C-V curve
The flat band voltage VFB
M
O
S
The flat band voltage VFB
M
Δπœ™π‘šπ‘ 
O
S
The flat band voltage VFB
M
O
S
Δπœ™π‘šπ‘ 
𝑄𝑓
+
+
+
The flat band voltage VFB
M
O
S
Δπœ™π‘šπ‘ 
𝑄𝑓
- VFB
+
+
+
Calculation of Qf from VFB
Find VFB from theoretically calculated CFB
𝐢𝐹𝐡 =
𝑉𝐹𝐡
1
𝐿𝐷𝑖
1
+
πΆπ‘œπ‘₯ πœ€π‘†π‘–
π‘žπ΄π‘„π‘“
= Δπœ™π‘šπ‘  −
πΆπ‘œπ‘₯
πΆπ‘œπ‘₯
𝑄𝑓 =
Δπœ™π‘šπ‘  − 𝑉𝐹𝐡
π‘žπ΄
𝐿𝐷𝑖 = Debye length in Si,
dependent on doping ++
Conductance measurements
Conductance measurements
C-V in real life
Thank you for listening!
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