We describe the use of tensor networks to numerically determine wave functions of interacting two-dimensional fermionic models in the continuum limit. We use two different tensor network states: one based on the numerical continuum limit of fermionic projected entangled pair states obtained via a tensor network formulation of multigrid and another based on the combination of the fermionic projected entangled pair state with layers of isometric coarse-graining transformations. We first benchmark our approach on the two-dimensional free Fermi gas then proceed to study the two-dimensional interacting Fermi gas with an attractive interaction in the unitary limit, using tensor networks on grids with up to 1000 sites.

中文翻译：

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二维数值连续张量网络

我们描述了使用张量网络来数值确定连续极限中相互作用的二维费米电子模型的波函数。我们使用两种不同的张量网络状态：一种基于通过多重网格的张量网络公式获得的费米子投影纠缠对状态的数值连续极限，另一种基于费米子投影纠缠对状态与等距粗粒度转换层的组合。我们首先在二维自由费米气体上对我们的方法进行基准测试，然后使用多达1000个位置的网格上的张量网络，研究在单一极限内具有有吸引力的相互作用的二维相互作用费米气体。