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本笔记从 Yu Miyazaki 的 ecnn4klm 代码库中的klmsq2d / klmtri2d_gc 两段代码出发（后者由我根据巨正则系综的 三角晶格版本 klmtri2d_gc 改写，以满足巨正则系综）， 推导零温下的占据、 基态能量与局域有效场， 并系统讲解 torch.einsum 的语义与张量缩并实现。 本笔记由 Anthropic Claude 提供 .tex 模板，并且进行辅助创作。 推导部分由作者 Yan S. Zha 本人进行或确认。 笔记可在 https://github.com/yzhacn/condensed-matter-ML-notes/blob/main/CL_KLM_ED_einsum/CL_KLM_ED_einsum.pdf 进行查看。
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Created a note titled “Tensor Field Networks Rotation- and Translation-Equivariant Neural Networks for 3D Point Clouds: A structured, de-indexed reading note”. Available in https://github.com/yzhacn/condensed-matter-ML-notes/blob/main/CL_TFN/CL_TFN.pdf.
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Created a note titled “From Classical Heisenberg Model to Spiral Magnetism”, which guides readers through using the classical Heisenberg model to determine the conditions under which spiral magnetic configuration emerges. Available in both the Chinese version “从古典海森堡模型到螺旋磁性” and the Japanese version “古典 Heisenberg 模型から螺旋磁性へ”. An English version is not yet available.
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Created a note titled “One-Dimensional Ising Model: Phase Transition, Symmetry Breaking, and the Critical Exponent of Heat Capacity at Constant Volume”. Available only in the Chinese version “一维伊辛(Ising)模型: 相变，对称性破缺与定积热容的临界指数”.