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Related Concept Videos

Gap Junctions01:37

Gap Junctions

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Multicellular organisms employ a variety of ways for cells to communicate with each other. Gap junctions are specialized proteins that form pores between neighboring cells in animals, connecting the cytoplasm between the two, and allowing for the exchange of molecules and ions. They are found in a wide range of invertebrate and vertebrate species, mediate numerous functions including cell differentiation and development, and are associated with numerous human diseases, including cardiac and...
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The cytoplasm of adjacent animal cells can exchange small molecules, ions, and secondary messengers via the communication channels which form the gap junctions. These junctions comprise a few hundred to thousands of molecular channels, each made of two halves, called the connexon hemichannel. A connexon is a hexamer of six transmembrane connexin proteins, which assemble radially, thus forming a pore or channel in the center. One connexon hemichannel docks with a corresponding connexon on the...
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Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
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The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
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In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
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Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
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Related Experiment Video

Updated: Feb 11, 2026

Morphological and Functional Evaluation of Ribbon Synapses at Specific Frequency Regions of the Mouse Cochlea
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Morphological and Functional Evaluation of Ribbon Synapses at Specific Frequency Regions of the Mouse Cochlea

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Topological Gap States of Rectangular Armchair Ribbon.

Y H Jeong1, S R Eric Yang1

  • 1Department of Physics, Korea University, Seoul, 02841, Korea.

Journal of Nanoscience and Nanotechnology
|April 22, 2018
PubMed
Summary

Topological gap states in graphene armchair ribbons are localized along zigzag edges. Their integer end charge is linked to the Zak phase, confirmed by analytical and numerical calculations.

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Topological Materials

Background:

  • Graphene armchair ribbons exhibit unique electronic properties due to their specific edge structures.
  • Topological states in materials can lead to novel functionalities.
  • The Zak phase is a key topological invariant in condensed matter physics.

Purpose of the Study:

  • To analytically compute the Zak phase of a periodic armchair ribbon.
  • To investigate the relationship between end charges of topological gap states and the Zak phase.
  • To explore the effect of a staggered potential on end charges.

Main Methods:

  • Analytical computation of the Zak phase for a periodic armchair ribbon.
  • Numerical computation of end charges for topological gap states.

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Related Experiment Videos

Last Updated: Feb 11, 2026

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  • Theoretical analysis of the influence of staggered potentials.
  • Main Results:

    • An explicit analytical formula for the Zak phase was derived.
    • The computed Zak phase values were consistent with numerically obtained integer end charges.
    • Non-integer end charges were shown to be possible in the presence of a staggered potential.

    Conclusions:

    • The study establishes a clear connection between the Zak phase and end charges in graphene ribbons.
    • The findings provide a deeper understanding of topological states in low-dimensional materials.
    • The research offers insights into manipulating topological properties via external potentials.