Stable Hartree-Fock solutions consisting of parallel arrays of line defects in the antiferromagnetic order are found in the large-U Hubbard model, in two dimension near to half-filling. The excess holes are bound by a gain in kinetic energy of order t to form charged-soliton lines. There is a close parallel to one dimension. Quantum fluctuations are not treated but are expected to be important.
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Poilblanc et al. (1989) studied this question.
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