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Related Concept Videos

Semiconductors01:22

Semiconductors

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There is variation in the electrical conductivity of materials - metals, semiconductors, and insulators that are showcased with the help of the energy band diagrams.
Metals such as copper (Cu), zinc (Zn), or lead (Pb) have low resistivity and feature conduction bands that are either not fully occupied or overlap with the valence band, making a bandgap non-existent. This allows electrons in the highest energy levels of the valence band to easily transition to the conduction band upon gaining...
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Band Theory02:35

Band Theory

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When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
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Metal-Semiconductor Junctions01:24

Metal-Semiconductor Junctions

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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
Schottky barriers arise when a metal with a work function (Φm) contacts a semiconductor with a different work function (Φs). Initially, electrons transfer until the Fermi levels of the metal and semiconductor align at equilibrium. For instance, if Φm > Φs, the semiconductor Fermi level is higher than the metal's before contact. The...
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Carrier Transport01:21

Carrier Transport

533
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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Fermi Level Dynamics01:12

Fermi Level Dynamics

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
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Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
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Conductivity and size quantization effects in semiconductor [Formula: see text]-layer systems.

Juan P Mendez1, Denis Mamaluy1

  • 1Sandia National Laboratories, Albuquerque, NM 87123 USA.

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Quantum confinement in nanoscale phosphorus layers significantly impacts conductivity and electron distribution. For wider structures, these effects diminish, approaching bulk material properties, with unique conductivity regimes observed in tunnel junctions.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Semiconductor systems are crucial for beyond-Moore and quantum computing.
  • Understanding conduction band structure and conductivity is key for device optimization.

Purpose of the Study:

  • Investigate quantum-mechanical properties of phosphorus layers and silicon tunnel junctions.
  • Analyze the impact of size quantization on conductivity in finite-width and infinite-width structures.

Main Methods:

  • Open-system quantum-mechanical 3D real-space simulations.
  • Evaluation of conduction band structure and conductive properties.
  • Comparison of nanoscale finite-width and infinitely-wide structures.

Main Results:

  • Strong size quantization effects observed in nanoscale (e.g., 1 nm) phosphorus layers, influencing conductivity and electron state distribution.
  • Quantization effects diminish in wider structures, with conductivity approaching bulk values.
  • Two distinct conductivity regimes predicted for P-layer tunnel junctions due to strong conduction band quantization.

Conclusions:

  • Size quantization plays a critical role in the electronic properties of nanoscale semiconductor devices.
  • Phosphorus layers and their tunnel junctions exhibit unique behaviors relevant for advanced electronic applications.
  • Simulation results provide insights into designing next-generation transistors and quantum computing components.