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Capacitance–voltage profiling (or C–V profiling, sometimes CV profiling) is a technique for characterizing
semiconductor material A semiconductor is a material which has an electrical conductivity value falling between that of a conductor, such as copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite way. ...
s and devices. The applied
voltage Voltage, also known as electric pressure, electric tension, or (electric) potential difference, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to ...
is varied, and the
capacitance Capacitance is the capability of a material object or device to store electric charge. It is measured by the change in charge in response to a difference in electric potential, expressed as the ratio of those quantities. Commonly recognized ar ...
is measured and plotted as a function of voltage. The technique uses a
metal A metal (from Greek μέταλλον ''métallon'', "mine, quarry, metal") is a material that, when freshly prepared, polished, or fractured, shows a lustrous appearance, and conducts electricity and heat relatively well. Metals are typicall ...
semiconductor A semiconductor is a material which has an electrical conductivity value falling between that of a conductor, such as copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite way. ...
junction (
Schottky barrier A Schottky barrier, named after Walter H. Schottky, is a potential energy barrier for electrons formed at a metal–semiconductor junction. Schottky barriers have rectifying characteristics, suitable for use as a diode. One of the primary ...
) or a p–n junctionJ. Hilibrand and R.D. Gold, "Determination of the Impurity Distribution in Junction Diodes From Capacitance-Voltage Measurements", RCA Review, vol. 21, p. 245, June 1960 or a MOSFET to create a
depletion region In semiconductor physics, the depletion region, also called depletion layer, depletion zone, junction region, space charge region or space charge layer, is an insulating region within a conductive, doped semiconductor material where the mobile ...
, a region which is empty of conducting
electron The electron ( or ) is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no ...
s and holes, but may contain ionized donors and electrically active defects or ''traps''. The depletion region with its ionized charges inside behaves like a capacitor. By varying the voltage applied to the junction it is possible to vary the depletion width. The dependence of the depletion width upon the applied voltage provides information on the semiconductor's internal characteristics, such as its doping profile and electrically active defect densities. , Measurements may be done at DC, or using both DC and a small-signal AC signal (the ''conductance method'' , ), or using a large-signal transient voltage.


Application

Many researchers use capacitance–voltage (C–V) testing to determine semiconductor parameters, particularly in MOSCAP and MOSFET structures. However, C–V measurements are also widely used to characterize other types of semiconductor devices and technologies, including bipolar junction transistors, JFETs, III–V compound devices, photovoltaic cells, MEMS devices, organic thin-film transistor (TFT) displays, photodiodes, and carbon nanotubes (CNTs). These measurements' fundamental nature makes them applicable to a wide range of research tasks and disciplines. For example, researchers use them in university and semiconductor manufacturers' labs to evaluate new processes, materials, devices, and circuits. These measurements are extremely valuable to product and yield enhancement engineers who are responsible for improving processes and device performance. Reliability engineers also use these measurements to qualify the suppliers of the materials they use, to monitor process parameters, and to analyze failure mechanisms. A multitude of semiconductor device and material parameters can be derived from C–V measurements with appropriate methodologies, instrumentation, and software. This information is used throughout the semiconductor production chain, and begins with evaluating epitaxially grown crystals, including parameters such as average doping concentration, doping profiles, and carrier lifetimes. C–V measurements can reveal oxide thickness, oxide charges, contamination from mobile ions, and interface trap density in wafer processes. A C–V profile as generated on
nanoHUB nanoHUB.org is a science and engineering gateway comprising community-contributed resources and geared toward education, professional networking, and interactive simulation tools for nanotechnology. Funded by the United States National Science F ...
for bulk MOSFET with different oxide thicknesses. Notice that the red curve indicates low frequency whereas the blue curve illustrates the high-frequency C–V profile. Pay particular attention to the shift in threshold voltage with different oxide thicknesses. These measurements continue to be important after other process steps have been performed, including lithography, etching, cleaning, dielectric and polysilicon depositions, and metallization, among others. Once devices have been fully fabricated, C–V profiling is often used to characterize threshold voltages and other parameters during reliability and basic device testing and to model device performance. C–V measurements are done by using capacitance–voltage meters of Electronic Instrumentation. They are used to analyze the doping profiles of semiconductor devices by the obtained C–V graphs.


C–V characteristics of metal–oxide–semiconductor structure

A metal–oxide–semiconductor structure is critical part of a MOSFET, controlling the height of
potential barrier In quantum mechanics, the rectangular (or, at times, square) potential barrier is a standard one-dimensional problem that demonstrates the phenomena of wave-mechanical tunneling (also called "quantum tunneling") and wave-mechanical reflection. ...
in the channel via the gate oxide. An ''n''-channel MOSFET's operation can be divided into three regions, shown below and corresponding to the right figure.


Depletion

When a small positive bias voltage is applied to the metal, the
valence band In solid-state physics, the valence band and conduction band are the bands closest to the Fermi level, and thus determine the electrical conductivity of the solid. In nonmetals, the valence band is the highest range of electron energies in w ...
edge is driven far from the Fermi level, and holes from the body are driven away from the gate, resulting in a low carrier density, so the capacitance is low (the valley in the middle of the figure to the right).


Inversion

At larger gate bias still, near the semiconductor surface the conduction band edge is brought close to the Fermi level, populating the surface with electrons in an inversion layer or n-channel at the interface between the semiconductor and the oxide. This results in a capacitance increase, as shown in the right part of right figure.


Accumulation

When a negative gate-source voltage (positive source-gate) is applied, it creates a ''p''-channel at the surface of the ''n'' region, analogous to the ''n''-channel case, but with opposite polarities of charges and voltages. The increase in hole density corresponds to increase in capacitance, shown in the left part of right figure.


See also

*
Current–voltage characteristic A current–voltage characteristic or I–V curve (current–voltage curve) is a relationship, typically represented as a chart or graph, between the electric current through a circuit, device, or material, and the corresponding voltage, or ...
*
Depletion region In semiconductor physics, the depletion region, also called depletion layer, depletion zone, junction region, space charge region or space charge layer, is an insulating region within a conductive, doped semiconductor material where the mobile ...
* Depletion width * Drive Level Capacitance Profiling * Deep-level transient spectroscopy * Metal–oxide–semiconductor structure


References


External links


MOScap simulator on nanoHUB.org
enables users to compute C-V characteristics for different doping profiles, materials, and temperatures. {{DEFAULTSORT:Capacitance Voltage Profiling Semiconductor device fabrication