Rigorous Fermi liquids and superconductivity
Electrons in a metal repel each other, yet they often behave like nearly free particles (a Fermi liquid) or bind into pairs and superconduct. Proving either behavior from the basic equations is open in most cases of physical interest.
Why it matters
These are the two standard states of metals, and rigorous control would test the approximations used throughout solid-state theory.
Review
C. Hainzl, R. Seiringer, The BCS functional of superconductivity and its mathematical properties, Journal of Mathematical Physics, 2016. https://arxiv.org/abs/1511.01995 reference checked
Timestamp record
- Signed record
- 092ec1664132…
- Public log
- Entry 257, in checkpoint 2,123
- In the log by
- Block 969,698, 2026-10-03
This text was in the PubPhys log by that date. The date says nothing about when the problem was first posed.