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Shastry-Sutherland模型中Néel反铁磁相精确边界的确定

On the precise boundary of the Néel antiferromagnetic phase in the Shastry-Sutherland model

Rongyi Lv, Xiangjian Qian, Mingpu Qin

arXiv 2609.22907首次发表:更新:

发表机构

Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Shanghai Jiao Tong University; Tsung-Dao Lee Institute, Shanghai Jiao Tong University; Hefei National Laboratory(上海交通大学物理与天文学院人工结构与量子控制重点实验室(教育部); 上海交通大学汤川研究所; 合肥国家实验室)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

通过大规模密度矩阵重整化群计算,确定Shastry-Sutherland模型中Néel反铁磁相边界,排除中间量子自旋液相,支持PVBS到Néel AFM的直接转变。

AI 中文摘要

Shastry-Sutherland模型的基态相图仍存在争议。特别是,plaquette价键固体(PVBS)相与Néel反铁磁(AFM)相之间的转变性质仍在争论中。虽然一些研究提出两相之间存在直接转变,但另一些研究则提出存在一个狭窄的中间量子自旋液体区域。为了解决这一问题,我们进行了大规模密度矩阵重整化群计算,以确定Shastry-Sutherland模型中的Néel AFM相边界。通过施加交错边界钉扎场并直接测量体交错磁化强度,以及通过系统外推截断误差和仔细的有限尺寸标度,我们发现交错磁化强度在有争议的区域$0.78 \lesssim J_{1}/J_{2} \leq 0.81$内保持有限,该区域在一些研究中被认为可能容纳量子自旋液相。结合先前已确立的PVBS相边界位于$J_{1}/J_{2} \approx 0.78$的共识,这些结果提供了反对存在中间量子自旋液相的证据,并支持Shastry-Sutherland模型中PVBS到Néel AFM的直接转变。

英文摘要

The ground state phase diagram of the Shastry-Sutherland model remains controversial. In particular, the nature of the transition between the plaquette valence bond solid (PVBS) phase and the Néel antiferromagnetic (AFM) phase is still under debate. While some studies suggest a direct transition between the two phases, others propose the existence of a narrow intermediate quantum spin liquid regime. To address this issue, we perform large-scale Density Matrix Renormalization Group calculations to determine the Néel AFM phase boundary in the Shastry-Sutherland model. By applying staggered boundary pinning fields and directly measuring the bulk staggered magnetization, and through systematic extrapolations with respect to truncation error as well as careful finite-size scaling, we find that the staggered magnetization remains finite across the controversial region $0.78 \lesssim J_{1}/J_{2} \leq 0.81$, which was suggested to host a quantum spin liquid phase in some studies. Together with the previously established consensus placing the PVBS phase boundary at $J_{1}/J_{2} \approx 0.78$, these results provide evidence against the existence of an intermediate quantum spin liquid phase and support a direct PVBS--Néel AFM transition in the Shastry-Sutherland model.

CommentsMain text: 6 pages, 4 figures. Supplemental Materials: 9 pages, 9 figures

论文原文

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