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The generalized spin stiffness constant for a doped quantum antiferromagnethas been investigated both analytically and numerically as a function of dopingconcentration at zero temperature, based on the strongly correlated t-J modelon two-dimensional square lattice. The nature of the theoretical dependence ofthe stiffness constant on doping shows a striking similarity with that of theeffective exchange constant, obtained from the combination of other theoreticaland experimental techniques in the low doping region. This correspondence onceagain establishes that spin stiffness can very well play the role of aneffective exchange constant even in the strongly correlated semi-itinerantsystems. Our theoretical plot of the stiffness constant against dopingconcentration in the whole doping region exhibits the various characteristicfeatures like a possible crossover in the higher doping regions and persistenceof short range ordering even for very high doping with the complete vanishingof spin stiffness occurring only close to 100% doping. Our results receive verygood support from various other theoretical approaches and also brings out afew limitations of some of them. Our detailed analysis highlights the crucialimportance of the study of spin stiffness for the proper understanding ofmagnetic correlations in a semi-itinerant magnetic system described by thestrongly correlated t-J model. Moreover, our basic formalism can also beutilized for determination of the effective exchange constant and magneticcorrelations for itinerant magnetic systems, in general in a novel way.

physica b condensed matter

Calculation of generalized spin stiffness constant of strongly  correlated doped quantum antiferromagnet on two-dimensional lattice and it's  application to effective exchange constant for semi-itinerant systems