标题： 三维$O(2)$模型的张量重正化群研究 显示英文标题

标题： Tensor renormalization group study of the 3d $O(2)$ model

摘要： 我们使用张量网络方法计算三维$O(2)$模型的热力学势及其导数，以研究著名的二阶相变。 我们还考虑非零化学势下的模型，以研究与零温度下粒子数密度相关的 Silver Blaze 现象。 此外，利用非对称晶格研究了粒子数密度的温度依赖性。 我们在零和非零磁场、温度和化学势下的结果与其他方法得到的结果一致。 显示英文摘要

摘要： We calculate thermodynamic potentials and their derivatives for the three-dimensional $O(2)$ model using tensor-network methods to investigate the well-known second-order phase transition. We also consider the model at non-zero chemical potential to study the Silver Blaze phenomenon, which is related to the particle number density at zero temperature. Furthermore, the temperature dependence of the number density is explored using asymmetric lattices. Our results for both zero and non-zero magnetic field, temperature, and chemical potential are consistent with those obtained using other methods.