Oa. Starykh et Gf. Reiter, HOLE MOTION IN THE ISING ANTIFERROMAGNET - AN APPLICATION OF THE RECURSION METHOD, Physical review. B, Condensed matter, 53(5), 1996, pp. 2517-2522
We study hole motion in the Ising antiferromagnet using the recursion
method. Using the retraceable path approximation we find the hole's Gr
een's function as well as its wave function for arbitrary values of t/
J(z). The effect of small transverse interaction also is taken into ac
count. Our results provide some additional insight into the self-consi
stent Born approximation.