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Related Concept Videos

Types of Semiconductors01:20

Types of Semiconductors

Intrinsic semiconductors are highly pure materials with no impurities. At absolute zero, these semiconductors behave as perfect insulators because all the valence electrons are bound, and the conduction band is empty, disallowing electrical conduction. The Fermi level is a concept used to describe the probability of occupancy of energy levels by electrons at thermal equilibrium. In intrinsic semiconductors, the Fermi level is positioned at the midpoint of the energy gap at absolute zero. When...
Fermi Level Dynamics01:12

Fermi Level Dynamics

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...
Semiconductors01:22

Semiconductors

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...
Metal-Semiconductor Junctions01:24

Metal-Semiconductor Junctions

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 semiconductor's...
Fermi Level01:18

Fermi Level

The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...

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Updated: May 11, 2026

3D Depth Profile Reconstruction of Segregated Impurities Using Secondary Ion Mass Spectrometry
07:10

3D Depth Profile Reconstruction of Segregated Impurities Using Secondary Ion Mass Spectrometry

Published on: April 29, 2020

Shallow impurity level calculations in semiconductors using ab initio methods.

Gaigong Zhang1, Andrew Canning, Niels Grønbech-Jensen

  • 1Department of Applied Science, University of California, Davis, California 95616, USA.

Physical Review Letters
|May 18, 2013
PubMed
Summary
This summary is machine-generated.

A new ab initio method accurately calculates shallow impurity levels in semiconductors. This approach combines GW calculations with potential patching for large systems, showing excellent agreement with experimental data.

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Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
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Last Updated: May 11, 2026

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Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
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Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

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Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
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Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis

Published on: May 10, 2021

Area of Science:

  • Computational Materials Science
  • Condensed Matter Physics
  • Quantum Chemistry

Background:

  • Accurate calculation of shallow impurity levels is crucial for semiconductor device performance.
  • Existing methods face challenges in accurately describing impurity states in large, complex systems.

Purpose of the Study:

  • To develop and present a novel ab initio method for calculating shallow impurity levels in bulk semiconductors.
  • To validate the method's accuracy by comparing calculations with experimental data for various semiconductor materials.

Main Methods:

  • Utilizes a combination of GW calculations for the central-cell potential.
  • Employs a potential patching method to handle large system sizes (up to 64,000 atoms).
  • Describes impurity state wave functions within this combined theoretical framework.

Main Results:

  • Achieved excellent agreement between calculated and experimental acceptor levels in Silicon (Si) and Gallium Arsenide (GaAs).
  • Successfully calculated an isovalent bound state in Gallium Phosphide (GaP) with high accuracy.
  • Demonstrated a root-mean-square error of only 8.4 meV, highlighting the method's precision.

Conclusions:

  • The presented ab initio method provides a highly accurate and scalable approach for predicting shallow impurity levels in semiconductors.
  • This method offers a significant advancement for theoretical studies in semiconductor physics and materials science.
  • The excellent agreement with experimental results validates the efficacy of combining GW calculations with potential patching for impurity defect modeling.