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The phase structure of the lattice CP($N-1$) model in two dimensions isanalyzed by the tensor renormalization group (TRG) method. We focus on the case$N=2$ and compare the numerical result of the TRG method with that of thestrong-coupling analysis in the presence of the $\theta$ term and investigatethe nature of the phase transition at $\theta=\pi$.

Phase structure analysis of CP(N-1) model using Tensor renormalization group