论文标题
Hubbard模型在无限方晶格上的有限温度张量网络研究
Finite temperature tensor network study of the Hubbard model on an infinite square lattice
论文作者
论文摘要
哈伯德模型是强相关电子理论的一个长期问题，并且在超低效率原子的实验中是一个非常活跃的问题。在当前和前瞻性量子模拟的启发下，我们应用了一个二维张量网络，这是一个无限的投影纠缠状状态，通过邻里张量张量更新算法在假想的时间中演变，直接在热力学极限下起作用。使用U（1）XU（1）对称性和键尺寸高达29，我们将热状态下降至跳跃速率的0.17倍。我们获得了自旋和电荷相关因子的结果，不受边界效应的影响。自旋相关剂在试图接近热力学极限的前瞻性超电原子实验中可测量的旋转相关剂提供了抗通过磁孔的抗通过磁性背景的证据。电荷相关器揭示了在掺杂时半填充和孔孔排斥的签名附近的孔双龙对的存在。我们还在略微掺杂的方向上获得了特定的热量。
The Hubbard model is a longstanding problem in the theory of strongly correlated electrons and a very active one in the experiments with ultracold fermionic atoms. Motivated by current and prospective quantum simulations, we apply a two-dimensional tensor network, an infinite projected entangled pair state, evolved in imaginary time by the neighborhood tensor update algorithm working directly in the thermodynamic limit. With U(1)xU(1) symmetry and the bond dimensions up to 29, we generate thermal states down to the temperature of 0.17 times the hopping rate. We obtain results for spin and charge correlators, unaffected by boundary effects. The spin correlators, measurable in prospective ultracold atoms experiments attempting to approach the thermodynamic limit, provide evidence of disruption of the antiferromagnetic background with mobile holes in a slightly doped Hubbard model. The charge correlators reveal the presence of hole-doublon pairs near half filling and signatures of hole-hole repulsion on doping. We also obtain specific heat in the slightly doped regime.
