Abstract
The binding energy of twop=0 holes in thetJ model on a square lattice is shown to vanish atJ=2t due to thespl(2, 1) symmetry at this point. In any back-ground of antiferromagnetic type, with finite total spin in an infinite volume, the binding energy atx=0 hole doping vanishes at least as (J−2t)2 asJ→2t. These exact results may serve as tests of more comprehensive calculations of interactions of holes in thetJ model.
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Förster, D. Decoupling of holes in thetJ model atJ=2t fromspl(2, 1) symmetry. Z. Physik B - Condensed Matter 82, 329–334 (1991). https://doi.org/10.1007/BF01357174
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DOI: https://doi.org/10.1007/BF01357174