Single hole dispersion relation for the real CuO${}_2$ plane

Abstract

Dispersion relation for the CuO${}_2$ hole is calculated basing on the {\it generalized} $t$-$t^{\prime }$-$J$ model, recently derived from the three-band one. Numerical ranges for all model parameters, $t/J=\mathrm{2.4..2.7}$, $t^{\prime }/t=\mathrm{0..}-0.25$, $t^{\prime \prime }/t=\mathrm{0.1..0.15}$, and three-site terms $2t_N\sim t_S\sim J/4$, have been strongly justified previously. Physical reasons for their values are also discussed. Self-consistent Born approximation is used for the calculation of the hole dispersion. An excellent agreement between calculated $E_{\mathbf{k}}$ and one obtained from the angle-resolved photoemission experiments is found.

3 pages, 2 figures, misprints corrected, wrong figure 2 replaced