\begin{document}${\cal{N}}_f=2$\end{document}) IR- improved soft-wall AdS/QCD model at finite isospin chemical potential \begin{document}$\mu_I$\end{document} and temperature T. By self-consistently solving the equations of motion, we obtain the phase diagram in the plane of \begin{document}$\mu_I$\end{document} and T. The pion condensation appears together with a massless Nambu-Goldstone boson \begin{document}$m_{\pi_1}(T_c, \mu_I^c)=0$\end{document}, which is very likely to be a second-order phase transition with mean-field critical exponents in the small \begin{document}$\mu_I$\end{document} region. When \begin{document}$T=0$\end{document}, the critical isospin chemical potential approximates to vacuum pion mass \begin{document}$\mu_I^c \approx m_0$\end{document}. The pion condensed phase exists in an arched area, and the boundary of the chiral crossover intersects the pion condensed phase at a tri-critical point. Qualitatively, the results are in good agreement with previous studies on lattice simulations and model calculations."> QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model -
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