Solving Anderson Impurity Model by the Effective Hamiltonian Theory

Abstract

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.

MQM 2022: The 10th Triennial Conference on Molecular Quantum Mechanics

“…They apply the new method to the chiral group-directed photoisomerization of the BINOL molecule and demonstrate that strong light-matter coupling can alter its diastereomeric excess. In other work, Wang of Sophyics Technology in collaboration with Li and Zhang of the University of Florida test self-consistent effective Hamiltonian theory by applying it to an Anderson-Hubbard Hamiltonian . They find that the numerical solution to a model problem yields the correct Kondo resonance in the quasi-particle density of states.…”

“…In other work, Wang of Sophyics Technology in collaboration with Li and Zhang of the University of Florida test self-consistent effective Hamiltonian theory by applying it to an Anderson-Hubbard Hamiltonian. 3 They find that the numerical solution to a model problem yields the correct Kondo resonance in the quasi-particle density of states.…”