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Related Concept Videos

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.7K
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...
9.7K
Gauss's Law01:07

Gauss's Law

9.8K
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.
9.8K
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.7K
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 vector...
2.7K
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

5.2K
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...
5.2K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

9.5K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
9.5K
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

2.4K
Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
2.4K

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Random Gauge Field Scattering in Monolayer Graphene.

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Strain engineering in graphene creates a tunable gauge field, significantly altering charge transport properties. This research demonstrates a method to experimentally control strain, revealing its impact on resistivity and scattering mechanisms in 2D materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Nanotechnology

Background:

  • Lattice deformation in materials induces gauge fields affecting electron behavior.
  • Graphene's unique electronic properties make it a prime candidate for studying strain-induced effects.
  • Experimental control of strain in high-quality graphene remains a significant challenge.

Purpose of the Study:

  • To experimentally investigate the impact of uniaxial strain on charge transport in high-quality graphene.
  • To explore the relationship between strain, resistivity, and scattering mechanisms.
  • To understand the role of strain in phenomena like straintronics and valleytronics.

Main Methods:

  • Fabrication of high-quality suspended graphene field-effect transistors on flexible polyimide substrates.
  • Application of uniaxial strain via substrate bending.
  • Measurement of resistivity and carrier density dependence.
  • Analysis of phase coherent transport and magnetotransport properties.
  • Correlation of power factor with surface fractal dimension.

Main Results:

  • Observed a strain-induced resistivity with a power-law dependence on carrier density.
  • Found a correlation between the power factor and the surface fractal dimension of rippled graphene.
  • Demonstrated strain-dependent phase coherent transport and magnetotransport properties.
  • Interpreted results using the random gauge field scattering theory and strain-tunable disorder models.

Conclusions:

  • Strain engineering provides an effective method to tune charge transport in graphene.
  • Experimental control of strain is crucial for advancing fields like straintronics and valleytronics.
  • The findings offer insights into strain-induced gauge fields and their influence on electron scattering in 2D materials.