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Superconductor01:24

Superconductor

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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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Types Of Superconductors01:28

Types Of Superconductors

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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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Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
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Electric Field Inside a Conductor01:20

Electric Field Inside a Conductor

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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.
Suppose a piece of metal is placed near a positive charge. The free electrons in the metal are attracted to the external positive charge and migrate freely toward that region. This region then...
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Ferromagnetism01:31

Ferromagnetism

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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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Second Uniqueness Theorem01:16

Second Uniqueness Theorem

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Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
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Unconventional self-similar Hofstadter superconductivity from repulsive interactions.

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Researchers discovered a new way to create unconventional superconductivity in fractal Hofstadter bands using repulsive interactions and Van Hove singularities. This mechanism, controllable via flux and filling, leads to novel nodal and chiral topological superconductors.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • Fractal Hofstadter bands are now accessible via moiré superlattices, enabling interaction studies.
  • Moiré superlattices offer tunable electronic properties crucial for novel quantum phenomena.

Purpose of the Study:

  • To investigate a new mechanism for unconventional superconductivity in Hofstadter bands.
  • To explore the role of repulsive interactions and Van Hove singularities in driving superconductivity.

Main Methods:

  • Renormalization group (RG) analysis was employed.
  • The study controlled Van Hove singularities at the Fermi energy by tuning flux and electronic filling.

Main Results:

  • A novel mechanism for unconventional superconductivity was demonstrated.
  • Tunable Van Hove singularities drive instabilities toward nodal and chiral topological superconductivity.
  • Chiral topological superconductivity exhibits self-similar RG flow and order parameter symmetry.

Conclusions:

  • Hofstadter quantum materials, like moiré heterostructures, are promising platforms for novel reentrant superconductors.
  • The findings open new avenues for exploring topological superconductivity in engineered quantum systems.