Amount of flux lines 'pinned' in type II superconductor

In summary, type II superconductors may not exhibit complete exclusion of magnetic field due to quantum vortices. The number of vortices or fluxons present is affected by the magnetic field, and the density of vortices is such that the macroscopic flux is equal to the external field. The vortices may form an ordered lattice, which can be observed through decoration experiments, neutron scattering or electron microscopy, and the density can be calculated from the lattice parameters.
  • #1
Yakone
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a type II superconductor may not exhibit complete exclusion of magnetic field due to quantum vortices. It is my understanding that the magnetic field present will affect the number of vortices or fluxons present, but what is the relationship between magnetic field, and number of vortices in a type II superconductor (zero-field cooled), or am I completely missing the mark?
 
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  • #2
Graphically, you can imagine that the magnetic fields lines of the external field are "bundled" into quantized packets inside the superconductor.

The density of vortices is then such that the macroscopic flux is the same as outside of the SC, N*(flux quantum)/(macroscopic area)=B_ext, where N is the number and N/(macroscopic area) is the density of vortices.

In the absence of defects and pinning centers, the vortices may form ordered lattice. In most materials these are hexagonal, but square ones also occur. These lattices can be observed with decoration experiments, neutron scattering or electron microscopy. From the lattice parameters you can calculate the density.
 

Related to Amount of flux lines 'pinned' in type II superconductor

What is the difference between type I and type II superconductors?

Type I superconductors are materials that exhibit perfect conductivity at low temperatures, expelling all magnetic flux from their interior. Type II superconductors, on the other hand, can support some amount of magnetic flux within their interior without losing their superconducting properties.

How do type II superconductors "pin" flux lines?

Type II superconductors have defects or impurities in their crystal structure that act as "pinning centers" for flux lines. These defects create regions of higher resistance, effectively trapping the flux lines in place.

Why is the amount of pinned flux lines important in type II superconductors?

The amount of pinned flux lines affects the critical current of the superconductor, which is the maximum current that can flow without causing the superconductor to lose its superconducting properties. A higher number of pinned flux lines can increase the critical current, making the superconductor more useful for practical applications.

How does temperature affect the amount of pinned flux lines in type II superconductors?

As the temperature increases, the amount of pinned flux lines in a type II superconductor decreases. This is because at higher temperatures, thermal energy can overcome the pinning force and cause the flux lines to move and become unpinned.

Why is studying the amount of pinned flux lines important in superconductors?

Understanding and controlling the amount of pinned flux lines is crucial for developing superconductors with improved properties and applications. By studying the behavior of flux lines and the factors that affect their pinning, scientists can design more efficient and versatile superconductors for various technological and scientific purposes.

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