Abstract
We study the two-dimensional (2d) t- J model in a mean filed approximation. Assuming uniform charge distribution, we find that the 2d t- J model has an instability toward forming a quasi-one-dimensional (q-1d) Fermi surface. This q-1d state competes with a d-wave pairing state, which overcomes the q-1d state for a realistic parameter region. However, we can show that the q-1d state coexists with the d-wave pairing state when we introduce a small (about 3%) spatial anisotropy in t and J in the original t- J model.
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