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Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model

机译:矩阵乘积状态下的辅助主方程方法:非平衡安德森杂质模型的光谱性质

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Within the recently introduced auxiliary master equation approach it is possible to address steady state properties of strongly correlated impurity models, small molecules, or clusters efficiently and with high accuracy. It is particularly suited for dynamical mean field theory in the nonequilibrium as well as in the equilibrium case. The method is based on the solution of an auxiliary open quantum system, which can be made quickly equivalent to the original impurity problem. In its first implementation a Krylov space method was employed. Here, we aim at extending the capabilities of the approach by adopting matrix product states for the solution of the corresponding auxiliary quantum master equation. This allows for a drastic increase in accuracy and permits us to access the Kondo regime for large values of the interaction. In particular, we investigate the nonequilibrium steady state of a single-impurity Anderson model and focus on the spectral properties for temperatures T below the Kondo temperature T_K and for small bias voltages φ. For the two cases considered, with T ≈ T_K/4 and T ≈ T_K/10, we find a clear splitting of the Kondo resonance into a two-peak structure for φ close above T_K. In the equilibrium case (φ = 0) and for T ≈ T_K/4, the obtained spectral function essentially coincides with the one from numerical renormalization group.
机译:在最近引入的辅助主方程方法中,可以高效且高精度地解决强相关杂质模型,小分子或簇的稳态特性。它特别适用于非平衡以及平衡情况下的动力学平均场理论。该方法基于辅助开放量子系统的解决方案,该解决方案可以快速等效于原始杂质问题。在其第一个实现中,采用了Krylov空间方法。在这里,我们旨在通过采用矩阵乘积状态来求解相应的辅助量子主方程的方法来扩展该方法的功能。这可以大大提高准确性,并允许我们访问Kondo制度以获取较大的互动价值。特别是,我们研究了单杂质安德森模型的非平衡稳态,并着重研究了近藤温度T_K以下的温度T和较小的偏置电压φ的光谱特性。对于所考虑的两种情况,在T≈T_K / 4和T≈T_K / 10的情况下,我们发现φ接近T_K时,近藤共振明显分裂为两峰结构。在平衡情况下(φ= 0),对于T≈T_K / 4,获得的谱函数与数值重归一化组的谱函数基本一致。

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