Physics – Condensed Matter
Scientific paper
1996-06-07
Physics
Condensed Matter
14 pages, LaTeX, 6 figures on request, submitted to Zeitschrift fuer Physik
Scientific paper
10.1007/s002570050299
The dispersion of one hole in an extended $t$-$J$ model with additional hopping terms to second and third nearest neighbours and a frustration term in the exchange part has been investigated. Two methods, a Green's function projection technique describing a magnetic polaron of minimal size and the exact diagonalization of a $4*4$ lattice, have been applied, showing reasonable agreement among each other. Using additional hopping integrals which are characteristic for the CuO$_2$ plane in cuprates we find in the nonfrustrated case an isotropic minimum of the dispersion at the point $(\pi/2,\pi/2)$ in $k$-space in good coincidence with recent angle-resolved photoemission results for the insulating compound Sr$_2$CuO$_2$Cl$_2$. Including frustration or finite temperature which shall simulate the effect of doping, the dispersion is drastically changed such that a flat region and an extended saddle point may be observed between $(\pi/2,0)$ and $(\pi,0)$ in agreement with experimental results for the optimally doped cuprates.
Barabanov A. F.
Hayn Roland
Schulenburg J/"org
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