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Related Concept Videos

Magnetic Fields01:27

Magnetic Fields

6.6K
A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
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Divergence and Curl of Electric Field01:25

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The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
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Transformation of Plane Strain01:12

Transformation of Plane Strain

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When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
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Electric Field of Parallel Conducting Plates01:16

Electric Field of Parallel Conducting Plates

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Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...
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Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

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The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
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Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

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Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.
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Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices
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Strain fields in twisted bilayer graphene.

Nathanael P Kazmierczak1,2, Madeline Van Winkle1, Colin Ophus3

  • 1Department of Chemistry, University of California, Berkeley, CA, USA.

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|April 16, 2021
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Summary
This summary is machine-generated.

Researchers used Bragg interferometry to map atomic displacements in twisted bilayer graphene. They revealed short-range disorder and strain, explaining twist-angle-dependent electronic behavior in moiré materials.

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Fabricating van der Waals Heterostructures with Precise Rotational Alignment
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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Van der Waals heteroepitaxy enables precise control over atomic layer arrangements.
  • Superlattice electronic properties are sensitive to periodicity and structural deformations like strain and disorder.
  • Twisted bilayer graphene (TBG) is a key moiré material with tunable electronic properties.

Purpose of the Study:

  • To investigate atomic displacement fields and structural deformations in twisted bilayer graphene (TBG) with small twist angles (<2°).
  • To quantitatively map strain tensor fields and understand their impact on electronic behavior.
  • To establish the reconstruction mechanics governing electronic properties in moiré heterostructures.

Main Methods:

  • Bragg interferometry was employed to capture atomic displacement fields.
  • Nanoscale spatial fluctuations in twist angle and uniaxial heterostrain were statistically analyzed.
  • Strain tensor fields were quantitatively mapped to identify structural relaxation regimes.

Main Results:

  • Prevalence of short-range disorder and nanoscale twist angle fluctuations in moiré heterostructures was revealed.
  • Two distinct regimes of structural relaxation were identified.
  • Anisotropic accumulation of heterostrain in saddle-point regions was observed, forming striped strain phases.
  • Electronic contributions of constituent rotation modes were disentangled.

Conclusions:

  • The study establishes the reconstruction mechanics behind twist-angle-dependent electronic behavior in TBG.
  • A framework for visualizing structural relaxation, disorder, and strain in moiré materials was provided.
  • Understanding these structural factors is crucial for designing next-generation electronic devices based on moiré heterostructures.