Hole motion in the Ising antiferromagnet: an application of the recursion method

Physics – Condensed Matter

Scientific paper

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8 pages, RevTex, no figures. Accepted for publication in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.53.2517

We study hole motion in the Ising antiferromagnet using the recursion method.
Using the retraceable path approximation we find the hole's Green's function as
well as its wavefunction for arbitrary values of $t/J_z$. The effect of small
transverse interaction also is taken into account. Our results provide some
additional insight into the self-consistent Born approximation.

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