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arXiv 2602.21705hep-latcond-mat.str-elnucl-th
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单味Gross-Neveu-Wilson模型的相图：基于Grassmann角转移矩阵重正化群

Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group

School of Physics, Renmin University of China（中国人民大学物理学院）；Center for Computational Sciences, University of Tsukuba（筑波大学计算科学中心）；Graduate School of Science, The University of Tokyo（东京大学理学研究科）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Key Laboratory of Quantum State Construction and Manipulation of MoE, Renmin University of China（教育部量子态构建与操控重点实验室（中国人民大学））

Jian-Gang Kong, Shinichiro Akiyama, Tao Shi, Z. Y. Xie

备注：
26 pages, 20 figures
发表信息：
Phys. Rev. D 113, 114504(2026)
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AI总结：

利用Grassmann角转移矩阵重正化群研究单味Gross-Neveu模型相结构，通过赝标量凝聚序参量和中心电荷c识别相边界普适类，发现Aoki相与拓扑绝缘相被c=1/2和c=1的临界线分隔，且Aoki相在强耦合区不持续。

摘要：

我们利用Grassmann角转移矩阵重正化群（CTMRG）研究了带有Wilson费米子的单味Gross-Neveu模型的相结构。路径积分被表述为二维Grassmann张量网络，并通过Grassmann CTMRG算法近似收缩。我们通过改变费米子质量和四费米子耦合来研究相图，使用赝标量凝聚作为$\mathbb{Z}_{2}$宇称对称性破缺相的序参量。通过纠缠熵的标度分析得到的中心电荷$c$，识别了相边界的普适类。此外，我们从收敛的CTMRG环境中提取了与纠缠谱相关的量，从而能够区分拓扑绝缘体相和平凡相。得到的相结构表明，Aoki相与其他相由$c=1/2$的临界线分隔，而$c=1$的临界线分隔了拓扑绝缘相和平凡相。我们的数值结果还表明，对于单味理论，Aoki相在强耦合区域不持续。

英文摘要：

We investigate the phase structure of the single-flavor Gross--Neveu model with Wilson fermions using the Grassmann corner transfer matrix renormalization group (CTMRG). The path integral is formulated as a two-dimensional Grassmann tensor network and approximately contracted by the Grassmann CTMRG algorithm. We investigate the phase diagram by varying the fermion mass and the four-fermion coupling, using the pseudoscalar condensate as an order parameter for the $\mathbb{Z}_{2}$ parity symmetry breaking phase. The universality classes of the phase boundaries are identified through the central charge $c$ obtained via scaling analysis of the entanglement entropy. Furthermore, we extract the quantity related to the entanglement spectrum from the converged CTMRG environments, allowing us to distinguish the topological insulator phase and the trivial phase. The resulting phase structure suggests that the Aoki phase is separated from the other phases by critical lines characterized by $c=1/2$, while the critical lines with $c=1$ separate the topological insulating and trivial phases. Our numerical results also indicate that the Aoki phase does not persist in the strong-coupling regime for the single-flavor theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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