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Real-space variational Gutzwiller wave functions for the Anderson-Hubbard model

机译:Anderson-Hubbard模型的实空间变分Gutzwiller波函数

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Partially projected Gutzwiller variational wave functions are used to describe the ground state of disordered interacting systems of fermions. We compare several different variational ground states with the exact ground state for disordered one-dimensional chains, with the goal of determining a minimal set of variational parameters required to accurately describe the spatially inhomogeneous charge densities and spin correlations. We find that, for weak and intermediate disorder, it is sufficient to include spatial variations of the charge densities in the product state alone provided that screening of the disorder potential is accounted for. For strong disorder, this prescription is insufficient and it is necessary to include spatially inhomogeneous variational parameters as well.
机译:部分投影的Gutzwiller变分波函数用于描述费米子无序相互作用系统的基态。我们将几种不同的变异基态与无序一维链的精确基态进行比较,目的是确定精确描述空间不均匀电荷密度和自旋相关性所需的最小变异参数集。我们发现,对于弱和中级无序,只要考虑到对无序潜力的筛选,仅在产品状态下包含电荷密度的空间变化就足够了。对于严重的疾病,该处方不足,并且还必须包括空间不均匀的变异参数。

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