Metal-insulator transition in the (2+1)-dimensional Hubbard model with the tensor renormalization group
Metal-insulator transition in the (2+1)-dimensional Hubbard model with the tensor renormalization group
复制标题
具有张量重正化群的 (2 1) 维 Hubbard 模型中的金属-绝缘体转变
DOI：
10.1093/ptep/ptac014
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发表时间：
2022
影响因子：
3.5
通讯作者：
Takumi Yamashita
中科院分区：
文献类型：
--
作者：
Shinichiro Akiyama;Yoshinobu Kuramashi;Takumi Yamashita
利用张量重整化群方法研究了路径积分形式下（2+1）维Hubbard模型掺杂驱动的金属-绝缘体跃迁。我们计算了电子密度< n >作为化学势μ的函数，选择u = 80,8和2的三个库仑势值作为强、中、弱耦合的代表情况。我们确定了每个u的临界化学势，其中Hubbard模型经历了金属-绝缘体从< n > = 1的半填充平台到< n > > 1的金属状态的转变。我们的结果表明，该模型在有限耦合u的很大区域上表现出金属-绝缘体的转变。
We investigate the doping-driven metal–insulator transition of the (2+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. We calculate the electron density 〈n〉 as a function of the chemical potential μ, choosing three values of the Coulomb potential withU= 80, 8, and 2 as representative cases of the strong, intermediate, and weak couplings. We determine the critical chemical potential at eachU, where the Hubbard model undergoes the metal–insulator transition from the half-filling plateau with 〈n〉 = 1 to the metallic state with 〈n〉 > 1. Our results indicate that the model exhibits the metal–insulator transition over a vast region of the finite couplingU.