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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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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:
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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Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

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Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
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Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

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The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
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Electrochemical Systems01:24

Electrochemical Systems

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Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution,...
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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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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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Spontaneous Charge Carrier Localization in Extended One-Dimensional Systems.

Vojtěch Vlček1,2, Helen R Eisenberg1, Gerd Steinle-Neumann2

  • 1Fritz Haber Center for Molecular Dynamics, Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.

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Charge carriers spontaneously localize in ordered polymers due to electronic effects, not just defects. This finding challenges previous models and explains polaron formation in conjugated polymers.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Chemistry

Background:

  • Charge carrier localization traditionally attributed to disorder, defects, or lattice distortions.
  • Understanding carrier localization is crucial for electronic properties of materials.

Purpose of the Study:

  • To investigate the possibility of spontaneous charge carrier localization in perfectly ordered atomic systems.
  • To elucidate the underlying electronic mechanisms driving this localization.
  • To challenge existing paradigms regarding charge localization and lattice distortions.

Main Methods:

  • First-principles computations.
  • Optimally tuned range-separated density functional theory (DFT).
  • Many-body perturbation calculations using the GW approximation.

Main Results:

  • Demonstrated spontaneous hole density localization in trans-polyacetylene and polythiophene over several nanometers.
  • Identified exchange-induced translational symmetry breaking as the driving electronic effect.
  • Observed polymer length independence of key electronic properties beyond a critical localization length.
  • Found that lattice disorder and polaron formation arise from charge localization, reversing the conventional view.

Conclusions:

  • Charge carrier localization can be an intrinsic electronic phenomenon in ordered systems.
  • This electronic effect precedes and drives lattice distortions and polaron formation.
  • Provides a new framework for understanding charge carrier dynamics in conjugated polymers and related materials.