Mobile holes in a two-dimensional Heisenberg antiferromagnet

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Abstract
Th t-t’-t’ ’-J model is investigated by a rigorous diagonalization in a two-dimensional square lattice as large as √20 × √20 , which has no additional degeneracy. The ground state of one hole in the t-J model is at a momentum k near (±π/2,±π/2) with a total spin S=1/2 and that of two holes is at k=(0,0) with S=0. The hole pairing and nonclustering may be preferable for the ground state of the t-t’-t’ ’-J model in the region of t’>0 and t’ ’≲0.