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arXiv 2608.15800cond-mat.str-el

非均匀动力学平均场理论下的线性响应函数

Linear response functions from inhomogeneous dynamical mean-field theory

Don Rolih, Fabian B. Kugler

AI总结:

该研究提出一种基于非均匀动力学平均场理论的静态晶格磁化率计算方法,规避两粒子顶角函数,适配任意杂质求解器,可用于正方晶格哈伯德模型,能达到其他方法难以企及的低温且结果与标准方法吻合。

AI中文摘要:

我们提出一种利用非均匀动力学平均场理论计算静态晶格磁化率的方法,该方法借助系统对外场的响应,从而规避两粒子顶角函数。我们以正方晶格哈伯德模型的磁化率为例,采用数值重整化群作为杂质求解器验证了该方法的有效性,结果显示其与标准顶角方法得到的结果吻合良好。由于该方法无需顶角函数且几乎可适配任意杂质求解器,因此能达到其他方法难以企及的低温。

英文摘要:

We present a method for calculating static lattice susceptibilities with inhomogeneous dynamical mean-field theory. The method utilizes the response of the system to an external field and thereby circumvents two-particle vertex functions. We demonstrate the success of our approach for the magnetic susceptibility of the square-lattice Hubbard model using the numerical renormalization group as an impurity solver and show that it compares well with the results obtained using the standard vertex approach. As it avoids vertex functions and is compatible with virtually any impurity solver, our method is able to reach low temperatures that are hard to access with other methods.

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