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Upper and Lower Bounds on the Single-Impurity-Anderson-Model
Abstract In this paper, we discuss the groundstate energy of the Nf-fold degenerate Single-Impurity-Anderson-model. The three parts of the hamiltonian 1 $$\text{H}=\text{P}\sum_\nu({\text{h}}^\nu_0\,+\,\text{E}{\text{f}}_{\nu}^+{\text{f}}_{\nu}\,+\frac{\text{V}}{\surd \Omega}(c_{\text{k}\nu}^+\text{f}_\nu\,+\text{h}.\text{c}))\text{P}$$ are a bandelectron hamiltonian $$\text{h}_0^\nu=\sum{\varepsilon_k}{c_{\text{k}\nu}^+}{c_{\text{k}\nu}^-}\omega_0(\omega_0 \text{denotes the groundstate energy of one unperturbed band})$$ Nf-fold degenerate localized state, represented by Ef+ υfυ and a hybridisation term. υ $$\in$$ [1,Nf] classifies the z-component of the total angular momentum. P simulates a very strong shortrange Coulomb-repulsion between localized electrons by projecting the Hilbertspace on that subspace with one occupied f-state at maximum (U→∞ -limit).
Upper and Lower Bounds on the Single-Impurity-Anderson-Model
Abstract In this paper, we discuss the groundstate energy of the Nf-fold degenerate Single-Impurity-Anderson-model. The three parts of the hamiltonian 1 $$\text{H}=\text{P}\sum_\nu({\text{h}}^\nu_0\,+\,\text{E}{\text{f}}_{\nu}^+{\text{f}}_{\nu}\,+\frac{\text{V}}{\surd \Omega}(c_{\text{k}\nu}^+\text{f}_\nu\,+\text{h}.\text{c}))\text{P}$$ are a bandelectron hamiltonian $$\text{h}_0^\nu=\sum{\varepsilon_k}{c_{\text{k}\nu}^+}{c_{\text{k}\nu}^-}\omega_0(\omega_0 \text{denotes the groundstate energy of one unperturbed band})$$ Nf-fold degenerate localized state, represented by Ef+ υfυ and a hybridisation term. υ $$\in$$ [1,Nf] classifies the z-component of the total angular momentum. P simulates a very strong shortrange Coulomb-repulsion between localized electrons by projecting the Hilbertspace on that subspace with one occupied f-state at maximum (U→∞ -limit).
Upper and Lower Bounds on the Single-Impurity-Anderson-Model
Brandt, U. (author) / Giesekus, A. (author)
1987-01-01
4 pages
Article/Chapter (Book)
Electronic Resource
English
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