Quasiparticle energy dispersion in doped two-dimensional quantum antiferromagnets

Abstract

The quasiparticle dispersion in the one-hole $t\ensuremath{-}{t}^{\ensuremath{'}}\ensuremath{-}{t}^{\ensuremath{'}\ensuremath{'}}\ensuremath{-}J$ model is studied. Both finite-size diagonalization and the self-consistent Born-approximation calculations have been performed and compared. The quasiparticle band structures in the hole- and electron-doped high-${T}_{c}$ cuprates are qualitatively different. In the hole-doped compounds, the band maxima are located at ($\ifmmode\pm\else\textpm\fi{}\frac{\ensuremath{\pi}}{2}, \ifmmode\pm\else\textpm\fi{}\frac{\ensuremath{\pi}}{2}$), while in the electron-doped compounds the band maxima are located at ($\ensuremath{\pi}, 0$) and its equivalent points. The angle-resolved photoemission data for the quasiparticle dispersion of ${\mathrm{Sr}}_{2}$Cu${\mathrm{O}}_{2}$${\mathrm{Cl}}_{2}$ can be quantitatively reproduced using the one-band $t\ensuremath{-}{t}^{\ensuremath{'}}\ensuremath{-}{t}^{\ensuremath{'}\ensuremath{'}}\ensuremath{-}J$ model with the three-site hopping term.