Local properties of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e182" altimg="si3.svg"><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e187" altimg="si119.svg"><mml:mi>J</mml:mi></mml:math> model in a two-pole approximation within COM

In this work, we study the t-J model using a two-pole approximation within composite operator method. We choose basis of two operators -- constrained electrons and their spin-fluctuation dressing approximate currents in order to compute corresponding Green's functions. exploit algebraic constraints obeyed by close set self-consistent equations that is numerically solved. This allows determine physical parameters system such as spin-spin correlation function kinetic energy. Our results are compared those an exact numerical method on finite asses reliability. Indeed, very good agreement achieved through far less demanding more versatile procedure. show increasing hole doping, anti-ferromagnetic correlations replaced ferromagnetic ones. The behavior changing temperature exchange integral also studied reported.