二维无限格点上平移不变强关联电子系统的分次投影纠缠对态表示及算法
Graded Projected Entangled-Pair State Representations and An Algorithm for Translationally Invariant Strongly Correlated Electronic Systems on Infinite-Size Lattices in Two Spatial Dimensions
摘要：
针对二维无限大晶格上的自旋不变强关联电子系统，提出了一种求解基态波函数的梯度投影纠缠对态表示的算法.它是测试的二维t-J模型在和远离半填充，截断维数高达6。我们能够定位相分离线，这与基于高温膨胀的结果定性地一致。我们发现，该模型表现出扩展的s-波超导J=0.4t在四分之一填充。然而，我们强调，目前可获得的截断维数不够大，因此有必要将系统的对称性纳入算法中，以获得更高精度的结果。
英文摘要：
An algorithm to find a graded Projected Entangled-Pair State representation of the ground state wave functions is developed for translationally invariant strongly correlated electronic systems on infinite-size lattices in two spatial dimensions. It is tested for the two-dimensional t-J model at and away from half filling, with truncation dimensions up to 6. We are able to locate a line of phase separation, which qualitatively agrees with the results based on the high-temperature expansions. We find that the model exhibits an extended s-wave superconductivity for J=0.4t at quarter filling. However, we emphasize that the currently accessible truncation dimensions are not large enough, so it is necessary to incorporate the symmetry of the system into the algorithm, in order to achieve results with higher precision.
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