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We study the one-dimensional deformed $t-t^{\prime}-J$ model in terms of thecontinuum field theories. We found that at low doping concentration and faraway from the phase separation regime, there are two phases: the Luttingerliquid and the Luther-Emery liquid, depending on t'/t<(t'/t)_c ort'/t>(t'/t)_c, where (t'/t)_c>0. Moreover, the singlet superconductingcorrelations are dominant in the Luther-Emery liquid.Comment: 8 pages, 2 figure

Spin-gap phase in the extended $\mathsf{t-J}$ chain