Algebraic equation of motion approach for solving the Anderson model

doi:10.1088/1674-1056/ac8cdb

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 47501-047501.doi: 10.1088/1674-1056/ac8cdb

Algebraic equation of motion approach for solving the Anderson model

Hou-Min Du(杜厚旻) and Yu-Liang Liu(刘玉良)^†

Department of Physics, Renmin University of China, Beijing 100872, China

收稿日期:2022-04-18 修回日期:2022-06-26 接受日期:2022-08-26 出版日期:2023-03-10 发布日期:2023-04-10
通讯作者: Yu-Liang Liu E-mail:ylliu@ruc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11974420).

Algebraic equation of motion approach for solving the Anderson model

Hou-Min Du(杜厚旻) and Yu-Liang Liu(刘玉良)^†

Department of Physics, Renmin University of China, Beijing 100872, China

Received:2022-04-18 Revised:2022-06-26 Accepted:2022-08-26 Online:2023-03-10 Published:2023-04-10
Contact: Yu-Liang Liu E-mail:ylliu@ruc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11974420).

摘要/Abstract

摘要： Based on the algebraic equation of motion (AEOM) approach, we have studied the single-impurity Anderson model by analytically solving the AEOM of the f-electron one-particle Green function in the Kondo limit. The related spectral function satisfies the sum rule and shows that there is a well-known three-peak structure at zero temperature. In the low energy limit, we obtain the analytical formula of the Kondo temperature that is the same as the exact solution in form except for a prefactor. We also show that the shape of the Kondo resonance is the Lorentzian form and the corresponding weight is proportional to the spin-flip correlation function.

关键词: Anderson model, multiple-point correlation function, spin-flip correlation function

Abstract: Based on the algebraic equation of motion (AEOM) approach, we have studied the single-impurity Anderson model by analytically solving the AEOM of the f-electron one-particle Green function in the Kondo limit. The related spectral function satisfies the sum rule and shows that there is a well-known three-peak structure at zero temperature. In the low energy limit, we obtain the analytical formula of the Kondo temperature that is the same as the exact solution in form except for a prefactor. We also show that the shape of the Kondo resonance is the Lorentzian form and the corresponding weight is proportional to the spin-flip correlation function.

Key words: Anderson model, multiple-point correlation function, spin-flip correlation function

中图分类号: (Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)

75.20.Hr

71.27.+a (Strongly correlated electron systems; heavy fermions) 03.65.Fd (Algebraic methods)

Hou-Min Du(杜厚旻) and Yu-Liang Liu(刘玉良). Algebraic equation of motion approach for solving the Anderson model[J]. 中国物理B, 2023, 32(4): 47501-047501.

Hou-Min Du(杜厚旻) and Yu-Liang Liu(刘玉良). Algebraic equation of motion approach for solving the Anderson model[J]. Chin. Phys. B, 2023, 32(4): 47501-047501.

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Algebraic equation of motion approach for solving the Anderson model

Algebraic equation of motion approach for solving the Anderson model

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