Solution of the Anderson impurity model via the functional renormalization group
Solution of the Anderson impurity model via the functional renormalization group
复制标题
通过函数重正化群求解 Anderson 杂质模型
DOI：
10.1103/physrevb.87.201107
复制
发表时间：
2012
影响因子：
3.7
通讯作者：
P. Kopietz
中科院分区：
文献类型：
--
作者：
S. Streib;A. Isidori;P. Kopietz
我们表明，功能重整化群是一个数值上便宜的方法来获得低能量的行为的安德森杂质模型描述一个本地化的相互作用的电子耦合到一个浴的传导电子。我们的方法使用外部磁场作为流动参数，部分玻色化的横向自旋涨落，和频率无关的相互作用的顶点是固定的沃德身份。我们计算了粒子-空穴对称情况下的准粒子剩余和自旋磁化率，并在任意相互作用强度下与Bethe的结果吻合得很好。
We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our approach uses an external magnetic field as flow parameter, partial bosonization of the transverse spin fluctuations, and frequency-independent interaction vertices which are fixed by Ward identities. We calculate the quasi-particle residue and the spin susceptibility in the particle-hole symmetric case and obtain excellent agreement with the Bethe ansatz results for arbitrary strengths of the interaction.