QED3 Theory of High Temperature Superconductors • What is the ...

QED 3 Unified Theory (QUT) of HTS
Other states in [U(1)×U(1)] 2 (v F ≠ v ∆ ) BdG chiral manifold:
i〈ψ ↑α ψ ↓α − ψ ↑ᾱ ψ ↓ᾱ 〉 + h.c.
(dipSC)
This is a d+ip phase-incoherent superconductor. It is written in
terms of topological fermions ψ σα (r, τ) instead of the original nodal
quasiparticles c σα (r, τ). This state breaks parity but preserves time
reversal, translational invariance and superconducting U(1) symmetries.
All continuous chiral rotations between SDW and dipSC are
also included as well as “diagonal stripes” – combinations of
(1, ¯1) SCDW and (2, ¯2) dipSC.
When v F = v ∆ the BdG chiral manifold is enlarged to U(2)×U(2):
1
√
2
〈c † ↑1c ↑2 + c † ↑¯2 c ↑¯1 + h.c.〉 + (↑→↓)
(CDW)
1
√
2
〈ψ ↑1 ψ ↓2 + ψ ↑¯2ψ ↓¯1 + h.c.〉 + (↑↔↓) (SCDW) ⇒