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Carrier Transport01:21

Carrier Transport

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The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
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P-N junction

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A p-n junction is formed when p-type and n-type semiconductor materials are joined together. At the interface of the p-n junction, holes from the p-side and electrons from the n-side begin to diffuse into the opposite sides due to the concentration gradient. This diffusion of carriers leads to a region around the junction where there are no free charge carriers, known as the depletion region. The charge density within the depletion region for the n-side and p-side can be described by the...
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Non-ohmic Devices00:51

Non-ohmic Devices

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In most substances, the current flow is proportional to the voltage applied to it. A simple relationship between the values of current, voltage, and resistance is known as Ohm's law. Nonohmic devices do not exhibit a linear relationship between voltage and current. One such device is the semiconducting circuit element known as a diode. A diode is a circuit device that allows current flow in only one direction.
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Metal-Semiconductor Junctions01:24

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The contact of metal and semiconductor can lead to the formation of a junction with either Schottky or Ohmic behavior.
Schottky Barriers
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MOSFET: Depletion Mode01:20

MOSFET: Depletion Mode

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Depletion-mode MOSFETs represent a unique subset of MOSFET technology, functioning fundamentally differently from their enhancement-mode counterparts. Unlike enhancement MOSFETs, which require a positive gate-source voltage (Vgs) to turn on, depletion-mode MOSFETs are inherently conductive and "normally on" devices.
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Biasing of Metal-Semiconductor Junctions01:27

Biasing of Metal-Semiconductor Junctions

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Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
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μ2T(n): a method for extracting the density dependent mobility in two-terminal nanodevices.

Christian E N Petersen1, Damon J Carrad2, Thierry Désiré2

  • 1Department of Energy Conversion and Storage, Technical University of Denmark, Kgs Lyngby, Denmark. cenpe@dtu.dk.

Communications Engineering
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Summary

We developed a new method to measure carrier mobility in nanostructures without using the Hall effect. This technique allows for density-dependent mobility extraction in nanoscale field-effect transistors, crucial for nanomaterial development.

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Area of Science:

  • Semiconductor physics
  • Materials science
  • Nanotechnology

Background:

  • The Hall effect is standard for measuring carrier mobility versus carrier density in bulk semiconductors.
  • Standard Hall measurements are not applicable to nanostructures, limiting mobility analysis.
  • Density-dependent mobility is crucial for understanding scattering mechanisms in nanomaterials.

Purpose of the Study:

  • To develop a method for extracting density-dependent mobility in nanoscale field-effect transistors (FETs).
  • To enable mobility measurements in nanostructures where conventional Hall geometry is not applicable.
  • To provide a tool for analyzing scattering mechanisms in nanomaterials.

Main Methods:

  • Introduced the μ2T(n) procedure for extracting density-dependent mobility from two-terminal conductance measurements.
  • Utilized conventional conductance vs. gate voltage measurements at zero magnetic field.
  • Validated the μ2T(n) method against standard Hall measurements in bulk semiconductors.

Main Results:

  • Successfully extracted density-dependent mobility (μ2T(n)) in two-terminal nanoscale FETs.
  • Applied the method to 256 individual two-terminal InAs nanowire FETs, revealing scattering mechanism information.
  • Reanalyzed published data, demonstrating the method's utility beyond density-independent mobility assumptions.

Conclusions:

  • The μ2T(n) procedure is a powerful tool for characterizing nanomaterials.
  • This method overcomes limitations of Hall measurements in nanostructures.
  • Enables optimization and development of advanced nanomaterials for various technologies.