HOTRG dataset for the Ising model on a 3D fractal lattice (magnetization, critical isotherm, bond energy)

This repository contains numerical data underlying figures in our study of the classical Ising model on a 3D fractal lattice (Hausdorff dimension d_H = 2.5, boundary dimension d = 2), computed using the higher-order tensor renormalization group (HOTRG). The deposit includes plain-text data files for:1) Magnetization m(T) versus temperature at multiple bond dimensions (including D = 16 and D = 17 for convergence checks),2) Critical isotherm magnetization m0(h) versus magnetic field h,3) Bond energy u(T) versus temperature (the specific heat c(T) can be obtained by numerical differentiation of u(T)),4) Convergence data for Tc and the magnetization exponent beta versus bond dimension D. The custom simulation code used to generate the data is not publicly released. Funding: European Union (NextGenerationEU) via the Recovery and Resilience Plan for Slovakia, project No. 09I03-03-V04-00682.本仓库收录了我们针对三维分形晶格上经典伊辛模型开展研究时，各配图所依托的数值数据，该模型的Hausdorff维数$d_H=2.5$、边界维数$d=2$，相关计算采用高阶张量重整化群（higher-order tensor renormalization group, HOTRG）方法完成。 本仓库收录的纯文本数据涵盖以下类别： 1. 多种键维度下磁化强度$m(T)$随温度的变化关系（包含用于收敛性校验的$D=16$与$D=17$两组数据）； 2. 临界等温线磁化强度$m_0(h)$随外磁场$h$的变化关系； 3. 键合能$u(T)$随温度的变化关系（比热$c(T)$可通过对$u(T)$进行数值微分求得）； 4. 临界温度$T_c$与磁化指数$eta$随键维度$D$的收敛性数据。 用于生成该数据集的定制化模拟代码未对外公开。 资助信息：欧盟（NextGenerationEU）通过斯洛伐克复苏与韧性计划提供资助，项目编号为09I03-03-V04-00682。