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Related Concept Videos

Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

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Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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Plane Electromagnetic Waves I01:30

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The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
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Gaussian and Gaussian-pulsed-like Fermi velocity graphene structures.

H García-Cervantes1, G J Escalera Santos2, F J García-Rodríguez3

  • 1Tecnologías Emergentes Industriales e Informáticas, Universidad Tecnológica de León, Blvd. Universidad Tecnológica 225, San Carlos la Roncha, 37670 León, Guanajuato, Mexico.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|October 30, 2023
PubMed
Summary
This summary is machine-generated.

Gaussian structures in graphene act as electron filters, enabling tunable band-pass filters and oscillating conductance. These structures offer control over electronic transport properties in monolayer graphene devices.

Keywords:
Fermi velocity superlattices.Gaussian profileGaussian-pulsed-like profilegraphene

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Nanotechnology

Background:

  • Gaussian and related structures offer versatile electronic transport modulation.
  • Non-conventional profiles are explored for Fermi velocity barriers in graphene.
  • Monolayer graphene's unique electronic properties are suitable for novel device applications.

Purpose of the Study:

  • Investigate Gaussian Fermi velocity graphene barriers (G-FVGBs) as electron band-pass filters.
  • Analyze Gaussian-pulsed-like Fermi velocity graphene superlattices (GPL-FVGSLs) for tunable conductance.
  • Explore the transmission and transport properties of these novel graphene structures.

Main Methods:

  • Theoretical study using the continuum model.
  • Application of the transfer matrix method.
  • Analysis via the Landauer-Büttiker formalism.

Main Results:

  • G-FVGBs exhibit tunable, nearly flat transmission pass bands.
  • Pass band quality improves with increased Fermi velocity ratio (ξmax), but range decreases.
  • GPL-FVGSLs show high transmission regions that can form minibands and produce conductance oscillations.
  • Conductance is largely independent of system size due to filtering saturation.

Conclusions:

  • G-FVGBs and GPL-FVGSLs function as effective electron filters and tunable conductance devices.
  • System parameters, including Fermi velocity ratio and superlattice configuration, allow for precise control.
  • These findings open possibilities for advanced electronic devices based on engineered graphene structures.