截断单位Parquet方程在排斥哈伯德模型中的应用
Truncated-Unity Parquet Equations: Application to the Repulsive Hubbard Model
摘要：
Parquet方程是一组自洽的方程，用于描述相互作用的多费米子系统的有效两粒子顶点。然而，由于顶点的复杂的涌现动量和频率结构，将这些方程应用于体模型是苛刻的。在这里，我们展示了如何通过截断的统一，这是开发的背景下的功能重整化群，以有效地治疗的动量依赖的通道分解，可以转移到镶木地板方程。这导致了显着减少的数值工作缩放仅与离散动量的数量线性。我们将这种方法应用于正方形格子上的半满排斥哈伯德模型，并给出了通道投影顶点和满可约顶点的近似解。
英文摘要：
The parquet equations are a self-consistent set of equations for the effective two-particle vertex of an interacting many-fermion system. The application of these equations to bulk models is, however, demanding due to the complex emergent momentum and frequency structure of the vertex. Here, we show how a channel-decomposition by means of truncated unities, which was developed in the context of the functional renormalization group to efficiently treat the momentum dependence, can be transferred to the parquet equations. This leads to a significantly reduced numerical effort scaling only linearly with the number of discrete momenta. We apply this technique to the half-filled repulsive Hubbard model on the square lattice and present approximate solutions for the channel-projected vertices and the full reducible vertex.
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