论文标题
二维弱耦合挫折的抗fiferromagnets的群集量子蒙特卡洛研究
Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
论文作者
论文摘要
我们报告了基于自旋三聚体量子量蒙特卡洛模拟的结果，该模拟是由二维挫折量子抗铁磁铁的热力学性质，这些量子由弱耦合的三旋链（三体）簇组成。特别是，我们考虑具有强烈呼吸扭曲的Spin-1/2 Kagome晶格，以及先前针对Cuprate la $ {} _ 4 $ CU $ {} _ 3 $ Moo $ $ $ {} _ {12} $的三角形晶格模型。在这两种情况下，我们都证明了适当选择的基于三聚体的计算基础使我们能够显着将量子蒙特卡洛标志问题降低到低温方案。除了探索三角形晶格模型的热力学行为外，我们还评估了手性秩序发作的基于野外理论的预测。对于呼吸扭曲的kagome晶格模型，我们在特定的热量中观察到稳健的两峰结构，无论是在量子旋转液体和晶格纽扣方面。
We report results from spin trimer-based cluster quantum Monte Carlo simulations for the thermodynamic properties of two-dimensional frustrated quantum antiferromagnets that are composed of weakly-coupled three-spin (trimer) clusters. In particular, we consider the spin-1/2 kagome lattice with a strong breathing distortion, and the triangle-square lattice model proposed previously for the cuprate La${}_4$Cu${}_3$MoO${}_{12}$. For both cases, we demonstrate that an appropriately chosen trimer-based computational basis allows us to significantly reduce the quantum Monte Carlo sign problem down to the low-temperature regime. Besides exploring the thermodynamic behavior for the triangle-square lattice model we also assess a mean field theory-based prediction for the onset of chiral order. For the breathing distorted kagome lattice model, we observe a robust two-peak structure in the specific heat, both in the quantum spin liquid and the lattice-nematic regimes.
