Origin of current phase relation in Josepshon junction.

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SUMMARY

The discussion centers on the origin of the phase relation in Josephson junctions, specifically within the superconductor-superconductor point contact regime. It highlights that two Andreev bound states facilitate supercurrent flow through the S-weak links-S interface, expressed by the equation I_S=(1/Phi_0)*dE_A/d Phi, where I_S represents supercurrent, Phi_0 is the flux quantum, E_A denotes Andreev bound state energy, and Phi is the phase difference between two superconductors. Participants seek references to further understand the derivation and implications of this relationship.

PREREQUISITES
  • Understanding of superconductivity principles
  • Familiarity with Josephson junction theory
  • Knowledge of Andreev bound states
  • Basic grasp of quantum mechanics and phase relations
NEXT STEPS
  • Research the derivation of the Josephson equations
  • Explore the role of Andreev bound states in superconductivity
  • Study the implications of phase differences in Josephson junctions
  • Investigate experimental setups for measuring supercurrent in S-S junctions
USEFUL FOR

Physicists, superconductivity researchers, and graduate students studying quantum mechanics and Josephson junctions will benefit from this discussion.

YHFa
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At the superconductor-superconductor point contact regime,
two Andreev bound states carries supercurrent through the S-weak links-S interface.
According to literature, current can be simply expressd
Eq1) I_S=(1/Phi_0)*dE_A/d Phi
here I_S : supercurrent, Phi_0 = flux quantum, E_A : Andreev bound state energy, Phi : Phase difference between two superconductor.
Do you have any idea about the origin of this relation?
 
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