Algebraic equation of motion approach for solving the Anderson model

doi:10.1088/1674-1056/ac8cdb

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.

Keywords: Anderson model multiple-point correlation function spin-flip correlation function

Received: 18 April 2022
Revised: 26 June 2022
Accepted manuscript online: 26 August 2022

PACS:	75.20.Hr	(Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)
	71.27.+a	(Strongly correlated electron systems; heavy fermions)
	03.65.Fd	(Algebraic methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11974420).

Corresponding Authors: Yu-Liang Liu
E-mail: ylliu@ruc.edu.cn

Cite this article:

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

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