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A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
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A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
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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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Twisted Bilayer Graphene: A Phonon-Driven Superconductor.

Biao Lian1, Zhijun Wang2,3, B Andrei Bernevig4,5,6

  • 1Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.

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|July 27, 2019
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Summary
This summary is machine-generated.

Superconductivity in twisted bilayer graphene (TBG) arises from electron-phonon coupling, enabling intervalley pairing. This finding aligns with experimental observations and suggests superconductivity in TBG at other angles and higher electron densities.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Twisted bilayer graphene (TBG) exhibits superconductivity near the magic twist angle (≈1.05°).
  • Understanding the mechanism behind this superconductivity is crucial for materials science and condensed matter physics.

Purpose of the Study:

  • Investigate the role of electron-phonon coupling in TBG superconductivity.
  • Determine if phonon-mediated attraction can induce superconductivity at the magic twist angle.

Main Methods:

  • Theoretical analysis of electron-phonon coupling in TBG.
  • Ab initio calculations to support theoretical models.

Main Results:

  • Phonon-mediated electron attraction is strong enough to induce intervalley pairing (K and K') at the magic twist angle.
  • Predicted superconducting critical temperature (Tc) of ~1 K, consistent with experiments.
  • Superconductivity is predicted for other twist angles and higher electron densities in higher moiré bands.

Conclusions:

  • Electron-phonon coupling is a viable mechanism for superconductivity in TBG.
  • The findings may explain superconductivity in highly oriented pyrolytic graphite.
  • Further experimental and theoretical studies are warranted for other twist angles and moiré bands.