D. Poilblanc et al., BINDING OF HOLES TO MAGNETIC-IMPURITIES IN A STRONGLY CORRELATED SYSTEM, Physical review. B, Condensed matter, 50(17), 1994, pp. 13020-13023
The effect of a magnetic (S = 1/2) impurity coupled to a two-dimension
al system of correlated electrons (described by the t-J model) is stud
ied by exact diagonalizations. It is found that, if the exchange coupl
ing of the impurity with the neighboring spins is ferromagnetic or wea
kly antiferromagnetic, an extra hole can form bound states of differen
t spatial symmetries with the impurity extending to a few lattice spac
ings. The binding energy is maximum when the impurity is completely de
coupled (vacancy) and vanishes for an antiferromagnetic coupling excee
ding similar to 0.3J. Several peaks appear in the single-hole spectral
function below the lower edge of the quasiparticle band as signatures
of the d-, s-, and p-wave bound states.