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

TL;DR

This paper uses large-scale DMRG calculations to accurately determine the magnetization of the 120-degree order in the spin-1/2 triangular lattice Heisenberg model, providing benchmark values for future research.

Contribution

It offers a highly precise DMRG-based estimate of magnetization and ground state energy, addressing disparities in previous numerical results.

Findings

Magnetization estimated as M_0 = 0.208(8)

Ground state energy per site is -0.5503(8)

Results serve as benchmarks for future methods

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.