Single-hole dispersion relation for the real Cu${\mathrm{O}}_2$ plane

Dispersion relation for the Cu${\mathrm{O}}_2$ hole is calculated based on the generalized $t-t^{\prime }-J$ model, recently derived from the three-band one. Numerical ranges for all model parameters, $\frac{t}{J}=2.4-2.7\mathrm{}$, $\frac{t^{\prime }}{t}=0.0\mathrm{} \mathrm{to} -0.25\mathrm{}$, $\frac{t^{\prime \prime }}{t}=0.1-0.15\mathrm{}$, and three-site terms $2t_N\sim t_S\sim \frac{J}{4}$ have been strongly justified previously. Physical reasons for their values are also discussed. A self-consistent Born approximation is used for the calculation of the hole dispersion. Good agreement between calculated $E_{\mathrm{k}}$ and one obtained from the angle-resolved photoemission experiments is found. A possible explanation of the broad peaks in the experimental energy distribution curves at the top of the hole band is presented.