AI 中文总结
研究经典自旋液体中的收缩曲线自旋液体，利用反演对称性保护曲线，确定生成收缩轨迹机制并构建模型，通过蒙特卡罗模拟测试结构因子，发现其可承载红外高斯定律转变。
AI 中文摘要
经典自旋液体是相关顺磁体，其中局部约束产生广泛简并和涌现规范结构，常表现为自旋结构因子中的收缩点奇点。本文引入收缩曲线自旋液体，其中收缩奇点在动量空间中形成一维代数曲线。反演对称性通过将奇点条件简化为三维中的两个实代数约束来保护这些曲线，且收缩轨迹的几何形状可代数编程。我们确定了生成直线和曲线收缩轨迹的基本机制，构建了实现它们的晶格自旋模型，并使用蒙特卡罗模拟测试了预测的结构因子。我们还表明收缩曲线可承载红外高斯定律转变：尽管奇异轨迹保持一维，但主导局部约束和结构因子的相关各向异性标度会发生变化。
英文摘要
Classical spin liquids are correlated paramagnets in which local constraints generate extensive degeneracy and emergent gauge structures, often observable as pinch-point singularities in spin structure factors. Here we introduce pinch-curve spin liquids, in which the pinch singularities form one-dimensional algebraic curves in momentum space. Inversion symmetry protects these curves by reducing the singularity condition to two real algebraic constraints in three dimensions, and the geometry of the pinch locus is algebraically programmable. We identify elementary mechanisms for generating straight and curved pinch loci, construct lattice spin models that realize them, and test the predicted structure factors using Monte Carlo simulations. We further show that pinch curves can host an infrared Gauss-law transition: the leading local constraint and the associated anisotropic scaling of the structure factor change, even though the singular locus remains one-dimensional.
Comments6 pages, 5 figures, and supplemental material
