Fig. 3 | Nature Communications

Fig. 3

From: Coherent organization of electronic correlations as a mechanism to enhance and stabilize high-T C cuprate superconductivity

Fig. 3

More details of the effects of the self-energies. a Temperature dependence of gaps and self-energies of the θ = 22.5° mid-zone cut of Fig. 1. Parameters shown are Σ′ peak (blue diamonds −Σ′ value along the dashed line in Fig. 1u), Σ″(E F) (red squares—zero frequency portion of Fig. 1t), and superconducting gaps (orange circles—extracted from 2D fits). Upon cooling from high temperature, the main evolution of the parameters begins at T pair and not at T C. b Reproduction of the right half of the spectrum of Fig. 2j (antinodal states, cut 5, T = 15 K), with the renormalized quasiparticle dispersion (blue curve), and the extracted bare-band dispersion with no self-energies (red curve) overlaid on the spectrum. The superconducting gap is 40 meV. The red (bare) and blue (with renormalization) arrows indicate the effective range of k-states contributing to particle-hole mixing and pairing (see Supplementary Note 10). This effective k range is significantly larger for the renormalized band (blue) than for the bare band (red). c Quasiparticle renormalization factor Z (blue triangles) in the superconducting state as a function of Fermi surface angle, reaching the very large value of 6.5 at the antinode. d The effective k range for pairing in the Brillouin zone, where the effective k range with renormalization covers 11% Brillouin zone, the bare one only covers 2% Brillouin zone

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