Figure 1

(Color online) (a) Schematic of ASWT for hole-doped cuprates. (b) Estimates of $W_{\text{UHB}}$ (for hole doping) and $W_{\text{LHB}}$ (for electron doping) from various experimental results (see legend) (Refs. 12, 13, 14, 15, 16, 17) are compared with our theoretical results (open symbols of same color). Dashed lines of various colors show exact diagonalization calculations for different values of $U$ taken from Ref. 4. QMC results (Refs. 10, 11) from Fig. 4 are plotted as blue stars. All curves are normalized to $W_{\text{UHB}}\to 1$ at half filling.Reuse & Permissions

Figure 2

(Color online) (a) ARPES spectra along the nodal direction of NCCO for various dopings (Ref. 13). (b) and (c) Optical conductivity of NCCO (Ref. 14) and LSCO (Ref. 16). (d) $K$-edge XAS results (Refs. 12, 17) are compared with our theoretical DOS (broadened with experimental resolution of 0.4 eV and shifted by a doping independent x-ray edge energy value of 528.4 eV). All spectra are subtracted from a doping-independent background associated with higher-energy bands (Ref. 27) shown as black dashed lines in frames (a)–(d). (e)–(h) Integrated spectral weights corresponding to the background subtracted spectra in the corresponding upper panels. (e) Integrated ARPES spectral weight (integrated around a small momentum window to mimic the experiment and averaged over nodal and antinodal directions), normalized to $\left(1+x\right)$ at $E_F$. (f) and (g) Effective number of electrons [Eq. (1)] calculated from the optical spectra for NCCO and LSCO. (h) Integrated XAS intensity. In all frames, dashed lines are experimental data (Refs. 13, 14); solid lines of same color are the present calculations while the edge of the shaded region marks the crossover energy ${\omega }_c$, discussed in the text.Reuse & Permissions

Figure 3

(Color online) Integrated imaginary part of the calculated self-energy as a function of doping.Reuse & Permissions

Figure 4

(Color online) (a) DOS computed in QMC (Refs. 10, 11). All results are normalized to their peak values. (b) Corresponding electron number $n\left(\omega \right)$, the integral of the DOS, normalized to 2 for a full band. The QMC results for some of the dopings are not available at higher energies below $E_F$, so we normalize $n\left(\omega \right)$ to $\left(1-x\right)$ at $E_F$. (c) and (d) QMC DOS with experimental broadening and $K$-edge energy shift (solid lines) is compared with experimental data (dashed lines) (Refs. 12, 17) as in Figs. 2d, 2e, 2f, 2g, 2h.Reuse & Permissions