We have analysed here the role of the geometric phase in dynamical mechanismof quantum phase transition in the transverse Ising model. We have investigatedthe system when it is driven at a fixed rate characterized by a quench time$\tau_q$ across the critical point from a paramagnetic to ferromagnetic phase.Our argument is based on the fact that the spin fluctuation occurring duringthe critical slowing down causes random fluctuation in the ground stategeometric phase at the critical regime. The correlation function of the randomgeometric phase determines the excitation probability of the quasiparticles,which are excited during the transition from the inital paramagnetic to theferromagnetic phase. This helps us to evaluate the number density of the kinksformed during the transition, which is found to scale as$\tau_q^{-\frac{1}{2}}$. In addition, we have also estimated the spin-spincorrelation at criticality.
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