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Related Concept Videos

Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
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Angle of Twist - Elastic Range01:13

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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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Electric Field01:16

Electric Field

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Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
In the new picture, imagine that the first charge sets up an electric field independent of all other charges in the universe. When another charge comes in its vicinity, the second charge experiences an electric force depending on the electric field at that point. The source charge does not...
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Determining Electric Field From Electric Potential01:12

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The electric field and electric potential are related to each other. If the electric field at various points in the region of interest is known, it can be used to calculate the electric potential difference between any two points. Similarly, if the electric potential is known for various points, then it is possible to calculate the electric field.
In general, regardless of whether the electric field is uniform, it points in the direction of decreasing potential because the force on a positive...
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Finding Electric Potential From Electric Field01:13

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For a system of charges, it is easy to calculate the system's potential because potential is a scalar quantity. However, in some instances where calculating the electric field is more straightforward than finding the potential, the electric field is used to calculate the system's potential. For a positive charge, the electric field is radially outward, and the potential is positive at any finite distance from the positive charge. In such an electric field, the motion away from the...
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When a conductor is placed in an external electric field, the free charges in the conductor redistribute and very quickly reach electrostatic equilibrium. The resulting charge distribution and its electric field have many interesting properties, which can be investigated with the help of Gauss's law.
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Electrically Tunable Gauge Fields in Tiny-Angle Twisted Bilayer Graphene.

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  • 1Institute for Theoretical Studies, ETH Zurich, 8092 Zurich, Switzerland.

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Summary
This summary is machine-generated.

Applying electric fields to twisted bilayer graphene creates an artificial gauge field. This enables the generation of pseudo-Landau levels and localized states, offering new avenues for condensed matter physics research.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Twisted bilayer graphene exhibits unique electronic properties due to interlayer coupling.
  • Tunability of these properties is crucial for potential technological applications.
  • Existing methods like strain engineering have limitations for robust applications.

Purpose of the Study:

  • To investigate the effect of perpendicular electric fields on twisted bilayer graphene at small twist angles.
  • To identify novel phenomena and potential applications arising from these interactions.
  • To explore the generation of pseudo-Landau levels and localized electronic states.

Main Methods:

  • Theoretical analysis of twisted bilayer graphene with small twist angles (α≪1°).
  • Mathematical equivalence established between perpendicular electric fields and artificial gauge fields.
  • Investigation of the resulting electronic band structure and real-space localization.

Main Results:

  • Perpendicular electric fields are shown to be equivalent to an artificial gauge field in twisted bilayer graphene.
  • This enables the robust generation and detection of pseudo-Landau levels, independent of strain.
  • Highly localized modes forming an emergent kagome lattice are observed near charge neutrality.

Conclusions:

  • Biased twisted bilayer graphene with small twist angles is a promising platform for realizing artificial gauge fields.
  • The study opens new possibilities for creating and studying frustrated lattices and strongly correlated phases.
  • Findings pave the way for technological applications leveraging pseudo-Landau levels in robust graphene systems.