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Exact Diagonalization calculations are presented for the t-J model in thepresence of a uniform magnetic field. Results for 2xL ladders (L=8,10,12) and4x4 square clusters with 1 and 2 holes indicate that the diamagnetic responseto a perpendicular magnetic field tends to induce a spin liquid state in thespin background. The zero-field spin liquid state of a two-leg ladder isreinforced by the magnetic field: a considerable increase of rungantiferromagnetic correlations is observed for J/t up to 0.6, for 1 and 2holes. Pair-breaking is also clearly observed in the ladders and seems to beassociated in part with changes promoted by the field in the spin correlationsaround the zero-field pair. In the 4x4 cluster, the numerical results seem toindicate that the field-induced spin liquid state competes with the zero-fieldantiferromagnetic short-range-order, the spin liquid state being favored byhigher doping and smaller values of J/t. It is interesting to note that thefield-effect can also be observed in a 2x2 plaquette with 1 and 2 holes. Thisopens up the possibility of gaining a qualitative understanding of the effect.Comment: 16 pages, 7 figures, latex New results adde

New results for thet–Jmodel in ladders: changes in the spin liquid state with applied magnetic field; implications for the cuprates