Monte Carlo determination of the low-energy constants for a two-dimensional spin-1 Heisenberg model with spatial anisotropy

研究成果: 雜誌貢獻文章

摘要

The low-energy constants, namely the spin stiffness ρs, the staggered magnetization density ℳs per area, and the spinwave velocity c of the two-dimensional (2D) spin-1 Heisenberg model on the square and rectangular lattices are determined using the first principles Monte Carlo method. In particular, the studied models have different antiferromagnetic couplings J1 and J2 in the spatial 1- and 2-directions, respectively. For each considered J2∕J1, the aspect ratio of the corresponding linear box sizes L2∕L1 used in the simulations is adjusted so that the squares of the two spatial winding numbers take the same values. In addition, the relevant finite-volume and -temperature predictions from magnon chiral perturbation theory are employed in extracting the numerical values of these low-energy constants. Our results of ρs1 are in quantitative agreement with those obtained by the series expansion method over a broad range of J2∕J1. This in turn provides convincing numerical evidence for the quantitative correctness of our approach. The ℳs and c presented here for the spatially anisotropic models are new and can be used as benchmarks for future related studies.

原文英語
文章編號242
期刊European Physical Journal B
90
發行號12
DOIs
出版狀態已發佈 - 2017 十二月 1

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

指紋 深入研究「Monte Carlo determination of the low-energy constants for a two-dimensional spin-1 Heisenberg model with spatial anisotropy」主題。共同形成了獨特的指紋。

  • 引用此