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We revisit the issue about the magnetization of the $120^\circ$ order in thespin-1/2 triangular lattice Heisenberg model (TLHM) with Density MatrixRenormalization Group (DMRG). The accurate determination of the magnetizationof this model is challenging for numerical methods and its value exhibitssubstantial disparities across various methods. We perform a large-scale DMRGcalculation of this model by employing bond dimension as large as $D = 24000$and by studying the system with width as large as $L_\mathrm{y} = 12$. Withcareful extrapolation with truncation error and suitable finite size scaling,we give a conservative estimation of the magnetization as $M_0 = 0.208(8)$. Theground state energy per site we obtain is $E_g = -0.5503(8)$. Our resultsprovide valuable benchmark values for the development of new methods in thefuture.

On the Magnetization of the $120^\circ$ order of the Spin-1/2 Triangular Lattice Heisenberg Model: a DMRG revisit