\r\nfor itinerant antiferromagnets is investigated in terms of generalized

\r\ncharge stiffness constant corresponding to nearest neighbour t-J

\r\nmodel and t1-t2-t3-J model. The low dimensional hole doped

\r\nantiferromagnets are the well known systems that can be described

\r\nby the t-J-like models. Accordingly, we have used these models

\r\nto investigate the fermionic pairing possibilities and the coupling

\r\nbetween the itinerant charge degrees of freedom. A detailed

\r\ncomparison between spin and charge couplings highlights that

\r\nthe charge and spin couplings show very similar behaviour in

\r\nthe over-doped region, whereas, they show completely different

\r\ntrends in the lower doping regimes. Moreover, a qualitative

\r\nequivalence between generalized charge stiffness and effective

\r\nCoulomb interaction is also established based on the comparisons

\r\nwith other theoretical and experimental results. Thus it is obvious

\r\nthat the enhanced possibility of fermionic pairing is inherent

\r\nin the reduction of Coulomb repulsion with increase in doping

\r\nconcentration. However, the increased possibility can not give rise to

\r\npairing without the presence of any other pair producing mechanism

\r\noutside the t-J model. Therefore, one can conclude that the t-J-like

\r\nmodels themselves solely are not capable of producing conventional

\r\nmomentum-based superconducting pairing on their own.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 158, 2020"}