PHASE DIAGRAM OF ONE-DIMENSIONAL DEFORMED t-J1-J2 MODEL WITH FRUSTRATED EXCHANGE INTERACTION

In this paper, we study the phase diagram of the one-dimensional deformed t-J(1)-J(2) model with frustrated exchange interaction. The introduction of the deformed parameter zeta softens the strength of the induced four- and six-electron interactions caused by the no-double occupancy constraint. For the small zeta and in the weak-coupling regime, we use the bosonization approach and the renormalization group techniques to obtain the phase diagram, which is characterized by the singlet-(SS) and triplet-superconducting(TS), spin-density-wave (SDW) as well as bond-charge-density wave (BCDW) instabilities. The TS and BCDW phases are realized in the whole regime while the SDW and SS correlations depend on J(2)/J(1) < (J(2)/J(1))(c) or J(2)/J(1) > (J(2)/J(1))(c), where (J(2)/J(1))(c) = 1/3. Furthermore, the deformed model with zeta << 1 is expected to a diabatically connect to the conventional t-J(1)-J(2) model with zeta=1.