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Related Concept Videos

Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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,...
Electric Field Inside a Conductor01:20

Electric Field Inside a Conductor

When a conductor is placed in an external electric field, the free charges in the conductor redistribute and very quickly reach electrostatic equilibrium. The resulting charge distribution and its electric field have many interesting properties, which can be investigated with the help of Gauss's law.
Suppose a piece of metal is placed near a positive charge. The free electrons in the metal are attracted to the external positive charge and migrate freely toward that region. This region then has...
Electric Field at the Surface of a Conductor01:26

Electric Field at the Surface of a Conductor

Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its outer surface, regardless of where they originate.
In the 19th century, Michael Faraday conducted the famous ice pail experiment to prove that the charges always reside on the surface of a conductor. The experimental set-up consists of a conducting uncharged container mounted on an insulating stand. The outer surface of the container is...
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...
Charging Conductors By Induction01:15

Charging Conductors By Induction

The Earth is a good conductor of electricity, and it is so big that it can be considered an infinite source or sink of charges. It can easily exchange charges with any matter.
Generally, conductors like metals do not allow any excess charge to be present on them. Any excess charge added to metals easily flows away, for example, when a metal is placed on the Earth. This process is called earthing.
However, conductors can be charged by a process called induction. For example, consider charging a...
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,...

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Related Experiment Video

Updated: Jul 18, 2026

Writing and Low-Temperature Characterization of Oxide Nanostructures
06:43

Writing and Low-Temperature Characterization of Oxide Nanostructures

Published on: July 18, 2014

Local electron heating in nanoscale conductors.

Roberto D'Agosta1, Na Sai, Massimiliano Di Ventra

  • 1Department of Physics, University of California--San Diego, La Jolla, California 92093, USA.

Nano Letters
|December 14, 2006
PubMed
Summary

Electron current density in nanoscale junctions causes significant electron heating. This study predicts the bias dependence of this local electron heating and its impact on ionic heating in conductors.

Area of Science:

  • Condensed matter physics
  • Nanoscience
  • Materials science

Background:

  • Electron current density is significantly higher in nanoscale junctions compared to bulk electrodes.
  • Increased electron density leads to a higher electron-electron scattering rate within the junction.
  • This enhanced scattering causes local electron heating, similar to electron-phonon interactions causing ionic heating.

Purpose of the Study:

  • To predict the bias dependence of local electron heating in quasi-ballistic nanoscale conductors.
  • To investigate the effect of local electron heating on ionic heating.
  • To propose potential experimental methods for verifying these findings.

Main Methods:

  • Theoretical modeling of electron transport in nanoscale junctions.

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Last Updated: Jul 18, 2026

Writing and Low-Temperature Characterization of Oxide Nanostructures
06:43

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Published on: July 18, 2014

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  • Analysis of electron-electron scattering rates and their impact on electron temperature.
  • Simulation of the influence of electron heating on phonon populations and ionic temperature.

    • Main Results:

    • Electron heating in nanoscale junctions is strongly dependent on applied bias.
    • Local electron heating significantly influences the rate of ionic heating.
    • The predicted effects are most pronounced in quasi-ballistic transport regimes.

    Conclusions:

    • Local electron heating is a critical phenomenon in nanoscale electronic devices.
    • Understanding electron heating is essential for managing heat dissipation and device performance.
    • Experimental validation of these predictions will advance nanoscale heat transfer studies.