Pairing of electrons in superconductors

Click For Summary

Discussion Overview

The discussion revolves around the pairing of electrons in superconductors, specifically focusing on the mechanisms that lead to the formation of singlet pairs within various electronic states in crystals. The scope includes theoretical considerations and the implications of these pairing mechanisms in the context of superconductivity.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that electronic real-space-eigenstates in crystals, which can be larger than a unit cell, may lead to the formation of singlet pairs of conduction electrons with opposite spins, potentially explaining a long-debated pairing mechanism in superconductors.
  • Another participant requests the inclusion of equations in the initial post to enhance comprehension of the concepts presented.
  • A third participant references a paper that contains mathematical details relevant to the discussion, indicating that the necessary math is available for further exploration.
  • A later reply notes that personal research, even if available on arXiv, is not typically discussed in the forum until it is published in a reputable journal, suggesting a limitation on the types of sources considered valid for discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are differing views on the appropriateness of discussing personal research and the relevance of the referenced paper. The discussion remains unresolved regarding the implications of the proposed pairing mechanism.

Contextual Notes

Limitations include the dependence on the definitions of electronic states and the unresolved nature of the mathematical details referenced in the discussion.

StanislavD
Messages
14
Reaction score
6
TL;DR
Can real-space-eigenstates of conduction electrons in crystal cause formation of electronic singlet pairs?
Crystals may contain electronic real-space-eigenstates as ground states, which are spatially much larger than one unit cell, such as impurity states, standing waves at Brillouin zone edges, states of Anderson localization, etc. Every eigenstate is usually occupied by two conduction electrons with opposite spins, forming a singlet pair. Notably: if the eigenstate is limited in real space, then the excitation energy of each singlet electron is not necessarily negligible, so below a certain temperature the singlet pair can be lasting. Isn't this a long-debated pairing mechanism in superconductors ?
 
Physics news on Phys.org
Put some equations into your inital post then it would be easier to comprehend. At least for me.
 
Sadly, we don't discuss personal research at PF even if its available as an arxiv paper. Once the paper gets published in a reputable journal then we can reconsider our position.

Closing this thread.

Jedi
 
  • Like
Likes   Reactions: topsquark

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 0 ·
Replies
0
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K