Motion of cooper pairs in superconductor

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SUMMARY

The discussion centers on the motion of Cooper pairs in superconductors, particularly how they can move swiftly across a lattice at low temperatures. It is established that as temperature decreases, particle motion in a lattice diminishes; however, Cooper pairs, formed by electrons with velocities near the Fermi velocity (approximately 10^6 m/s for most metals), can still exhibit significant movement. The Pauli exclusion principle prevents all electrons from having zero momentum, allowing the lowest energy electrons to be easily excited and contribute to the dynamics of Cooper pairs.

PREREQUISITES
  • Understanding of Cooper pairs in superconductivity
  • Knowledge of Fermi velocity and its implications
  • Familiarity with the Pauli exclusion principle
  • Basic concepts of lattice dynamics in solid-state physics
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  • Research the role of Fermi velocity in superconductivity
  • Explore the mechanisms of Cooper pair formation
  • Study the implications of the Pauli exclusion principle in quantum mechanics
  • Investigate lattice dynamics and its effects on electron motion
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Physicists, materials scientists, and students studying superconductivity and quantum mechanics will benefit from this discussion.

CN495
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I have learned that as temperature decreases, the motion of particles in a lattice decreases.Then how can a cooper pair move so swiftly across the lattice when temperature is considerably low?Can anyone please explain?
 
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all electrons in a lattice cannot have their momenta go to zero due to Pauli exclusion principle. the lowest energy electrons are actually the one that are most easily excited. ironically they have a very large velocity called Fermi velocity. For most metals its around 10^6 m/s. Cooper pairing occurs for electrons that have velocity close to Fermi velocity.
 

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