Effects oftheExchange Interaction Parameter onthePhase Diagrams fortheTransverse Ising Model

The microscopic effect of the exchange interaction parameter for the 2-Dimensional ising model with nearest neighbor interaction has been studied. By supposing simple temperature dependent relationship for the exchange parameter, graphs were straightforwardly obtained that show the reentrant closed looped phase diagrams symptomatic of some colloids and complex fluids and some binary liquids mixtures in particular. By parameter modifications, other phase diagrams were also obtained. Amongst which are the u-shapes and other exotic shapes of phase diagrams. Our results show that the exchange interaction parameter greatly influence the size of the ordered phase. Hence the larger the value of the constant, the larger the size of the ordered phase. This means that the higher values of the exchange parameter brings about phase transitions that straddle a wider range of polarizations and temperatures. Keywords-closed loop, exchange interaction, order-disorder, phase diagram, reentrant behavior, transverse Ising