Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model

doi:10.1103/PhysRevLett.130.226502

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	Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
	Li, Qiaoyi 1; Gao, Yuan 1; He, Yuan-Yao ; Qi, Yang 2,5,6; Chen, Bin -Bin ; Li, Wei 1,2,9,10
刊名	PHYSICAL REVIEW LETTERS
	2023
卷号	130 期号:22 页码:226502
关键词	SUPERCONDUCTIVITY SYMMETRY
ISSN号	0031-9007
DOI	10.1103/PhysRevLett.130.226502
英文摘要	Accurate simulations of the two-dimensional (2D) Hubbard model constitute one of the most challenging problems in condensed matter and quantum physics. Here we develop a tangent space tensor renormalization group (tanTRG) approach for the calculations of the 2D Hubbard model at finite temperature. An optimal evolution of the density operator is achieved in tanTRG with a mild OoD3 thorn complexity, where the bond dimension D controls the accuracy. With the tanTRG approach we boost the low-temperature calculations of large-scale 2D Hubbard systems on up to a width-8 cylinder and 10 x 10 square lattice. For the half-filled Hubbard model, the obtained results are in excellent agreement with those of determinant quantum Monte Carlo (DQMC). Moreover, tanTRG can be used to explore the lowtemperature, finite-doping regime inaccessible for DQMC. The calculated charge compressibility and Matsubara Green's function are found to reflect the strange metal and pseudogap behaviors, respectively. The superconductive pairing susceptibility is computed down to a low temperature of approximately 1/24 of the hopping energy, where we find d-wave pairing responses are most significant near the optimal doping. Equipped with the tangent-space technique, tanTRG constitutes a well-controlled, highly efficient and accurate tensor network method for strongly correlated 2D lattice models at finite temperature.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/28086]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Beihang Univ, Sch Phys, Beijing 100191, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.Univ Sci & Technol China, Hefei Natl Lab, Hefei 230088, Peoples R China 4.Northwest Univ, Inst Modern Phys, Xian 710127, Peoples R China 5.Shaanxi Key Lab Theoret Phys Frontiers, Xian 710127, Peoples R China 6.Fudan Univ, Dept Phys, State Key Lab Surface Phys, Shanghai 200433, Peoples R China 7.Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Peoples R China 8.Univ Hong Kong, Dept Phys, Pokfulam Rd, Hong Kong, Peoples R China 9.Univ Hong Kong, HKU UCAS Joint Inst Theoret & Computat Phys, Pokfulam Rd, Hong Kong, Peoples R China 10.Beihang Univ, Peng Huanwu Collaborat Ctr Res & Educ, Beijing 100191, Peoples R China
推荐引用方式 GB/T 7714	Li, Qiaoyi,Gao, Yuan,He, Yuan-Yao,et al. Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model[J]. PHYSICAL REVIEW LETTERS,2023,130(22):226502.
APA	Li, Qiaoyi,Gao, Yuan,He, Yuan-Yao,Qi, Yang,Chen, Bin -Bin,&Li, Wei.(2023).Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model.PHYSICAL REVIEW LETTERS,130(22),226502.
MLA	Li, Qiaoyi,et al."Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model".PHYSICAL REVIEW LETTERS 130.22(2023):226502.