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Expressions for generalized charge stiffness constant at zero temperature arederived corresponding to low dimensional hole doped quantum antiferromagnets,describable by the t-J-like models, with a view to understanding fermionicpairing possibilities and charge couplings in the itinerant antiferromagneticsystems. A detailed comparison between spin and charge correlations andcouplings are presented in both strong and weak coupling limits. The resulthighlights that the charge and spin couplings show very similar behaviour inthe over-doped region in both the dimensions, whereas they show a completelydifferent trend in the lower doping regimes. A qualitative equivalence ofgeneralized charge stiffness constant with the effective Drude weight andCoulomb interaction is established based on the comparison with othertheoretical and experimental results. The fall in charge stiffness withincrease in doping then implies reduction in the magnitude of effective Coulombrepulsion between the mobile carriers. This leads to an enhanced possibility offermionic pairing with increase in doping in the possible presence of someother attraction producing mechanism from a source outside the t-J-like models.Moreover, under certain conditions in the weakly correlated phase, the t-J-likemodels themselves are able to produce attractive interaction for pairing.

Study of effective coupling between charge degrees of freedom in low dimensional hole-doped quantum antiferromagnets