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

Abstract

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

arXiv comment6 pages, 6 figures

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• Variational optimization of projected entangled-pair states on the triangular lattice
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study