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Related Concept Videos

Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

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When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....
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Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

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Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
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Electric Field at the Surface of a Conductor01:26

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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.
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Electric Field Inside a Conductor01:20

Electric Field Inside a Conductor

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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.
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Induced Electric Fields

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The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...
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Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Updated: Mar 7, 2026

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
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Flexural-Phonon Scattering Induced by Electrostatic Gating in Graphene.

Tue Gunst1, Kristen Kaasbjerg1, Mads Brandbyge1

  • 1Department of Micro- and Nanotechnology (DTU Nanotech), Center for Nanostructured Graphene (CNG), Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark.

Physical Review Letters
|February 11, 2017
PubMed
Summary

Graphene

Area of Science:

  • Condensed matter physics
  • Materials science
  • Nanotechnology

Background:

  • Graphene's high carrier mobility is linked to its symmetry, which reduces scattering by acoustic flexural phonons.
  • Electrostatic gating can break graphene's symmetry, enabling coupling to these phonons.

Purpose of the Study:

  • To investigate how gate-induced one-phonon scattering affects graphene's carrier mobility.
  • To analyze the influence of gate geometry and dielectric environment on this scattering mechanism.

Main Methods:

  • Utilizing first-principles calculations based on density functional theory.
  • Employing the Boltzmann equation to model carrier transport.
  • Examining various gate geometries and dielectric environments.

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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
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Main Results:

  • Gate-induced one-phonon scattering can significantly limit graphene's carrier mobility.
  • The carrier density and temperature dependence of mobility are influenced by the electrostatic environment.
  • A direct relationship between device symmetry and mobility is suggested.

Conclusions:

  • The study elucidates a key scattering mechanism impacting graphene mobility.
  • Findings provide insights into experimental observations of high deformation potentials.
  • Device symmetry emerges as a critical factor for optimizing graphene-based electronic devices.