Solving Anderson Impurity Model by the Effective Hamiltonian Theory

We apply the Self-Consistent Effective Hamiltonian Theory (SCEHT), which uses a general variational Fermionic many-body wave function to generate an effective Hamiltonian in a quadratic form, to the Anderson impurity model. The chiral symmetry-breaking quadratic effective Hamiltonian is solved exact...

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Bibliographic Details
Published in:The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory Molecules, spectroscopy, kinetics, environment, & general theory, 2023-03, Vol.127 (8), p.2034-2040
Main Authors: Wang, Xindong, Li, Guanzhi, Zhang, X.-G.
Format: Article
Language:English
Subjects:
A: New Tools and Methods in Experiment and Theory
Chemistry
Physics
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Summary:We apply the Self-Consistent Effective Hamiltonian Theory (SCEHT), which uses a general variational Fermionic many-body wave function to generate an effective Hamiltonian in a quadratic form, to the Anderson impurity model. The chiral symmetry-breaking quadratic effective Hamiltonian is solved exactly for the single Fermion excitation spectrum. We validate the theory by numerically solving a model problem. The solution shows the correct Kondo resonance in the quasi-particle density of states.
ISSN:1089-5639
1520-5215
DOI:10.1021/acs.jpca.2c08423