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Related Concept Videos

Continuous Charge Distributions01:17

Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
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Induced Electric Fields: Applications01:27

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An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
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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:
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Induced Electric Fields01:23

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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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Electric Field of a Charged Disk01:23

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The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
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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.
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Distributed Current Injection into a One-Dimensional Ballistic Edge Channel.

Kristof Moors1,2, Christian Wagner3, Helmut Soltner4

  • 1Forschungszentrum Jülich, Peter Grünberg Institute (PGI-9), 52425 Jülich, Germany.

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|November 17, 2025
PubMed
Summary
This summary is machine-generated.

We extended Landauer

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Area of Science:

  • Condensed matter physics
  • Mesoscopic physics

Background:

  • Landauer's theory describes ballistic transport in 1D conductors.
  • Current injection/extraction is typically limited to channel ends.

Purpose of the Study:

  • Generalize Landauer's theory for distributed charge carrier injection/extraction.
  • Apply to quantum spin Hall insulators and edge states.
  • Distinguish ballistic from resistive edge channels.

Main Methods:

  • Theoretical generalization of Landauer's theory.
  • Modeling distributed injection from a 2D bulk to 1D edge states.
  • Analysis of multiterminal transport experiments.

Main Results:

  • Developed a generalized theory for distributed injection/extraction.
  • Derived criteria for distinguishing ballistic and resistive edge channels.
  • The theory is applicable to quantum Hall systems.

Conclusions:

  • Distributed injection is relevant for topological insulators.
  • The derived criteria enable experimental discrimination of edge channel behavior.
  • Provides a framework for understanding transport in complex geometries.