Non-rigid hole band in the extended t-J model

R. Hayn; A. F. Barabanov; J. Schulenburg

doi:10.1007/s002570050299

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Non-rigid hole band in the extended t-J model

R. Hayn·A. F. Barabanov·J. Schulenburg

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Abstract

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 $(π/2,π/2)$ 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 $(π/2,0)$ and $(π,0)$ in agreement with experimental results for the optimally doped cuprates.

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R. Hayn, A. F. Barabanov, J. Schulenburg. 1996-06-07. Non-rigid hole band in the extended t-J model. https://doi.org/10.1007/s002570050299

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