二维Hubbard模型的解：广泛数值算法的基准与结果
强关联电子
2015-12-23 v2
摘要
为了评估我们在热力学极限下计算准确结果的能力，给出了二维方晶格上单轨道Hubbard模型的基态和激发态性质（能量、双占据数以及Matsubara轴自能）的数值结果。采用了多种方法，包括辅助场量子蒙特卡洛、裸线和粗线图蒙特卡洛、对偶费米子方法、密度矩阵嵌入理论、密度矩阵重整化群、动力学团簇近似、固定节点近似下的扩散蒙特卡洛、无限制耦合簇理论以及多参考投影Hartree-Fock。比较不同方法获得的结果可以识别不确定性和系统误差。强调了外推到收敛的热力学极限值的重要性。不同方法之间取得一致的情况建立了基准结果，这些结果可用于新方法的验证和现有方法的改进。
引用
@article{arxiv.1505.02290,
title = {Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms},
author = {J. P. F. LeBlanc and Andrey E. Antipov and Federico Becca and Ireneusz W. Bulik and Garnet Kin-Lic Chan and Chia-Min Chung and Youjin Deng and Michel Ferrero and Thomas M. Henderson and Carlos A. Jiménez-Hoyos and E. Kozik and Xuan-Wen Liu and Andrew J. Millis and N. V. Prokof'ev and Mingpu Qin and Gustavo E. Scuseria and Hao Shi and B. V. Svistunov and Luca F. Tocchio and I. S. Tupitsyn and Steven R. White and Shiwei Zhang and Bo-Xiao Zheng and Zhenyue Zhu and Emanuel Gull},
journal= {arXiv preprint arXiv:1505.02290},
year = {2015}
}