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.

6 pages, 6 figures

References in corpus (13)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Tensor Network Algorithms: a Route Map
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Absence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Magnetism and superconductivity of strongly correlated electrons on the triangular lattice
• Magnons and Excitation Continuum in XXZ triangular antiferromagnetic model: Application to $B{a}_{3}CoS{b}_2{O}_9$
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Magnetization of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice
• Augmenting Density Matrix Renormalization Group with Disentanglers
• Absence of a classical long-range order in $S=1/2$ Heisenberg antiferromagnet on triangular lattice

Cited by in corpus (5)

• Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid
• Pseudo-fermion functional renormalization group with magnetic fields
• Nontrivial three-sublattice magnetization in the easy-axis spin-1/2 XXZ antiferromagnet on the triangular lattice
• 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