Analysis of Ground State Properties of Interacting Electrons in the Anderson Model

Omamoke Onorenyakpo Enaroseha, Obed Oyibo, N. Okpara

Abstract


The ground-state energy, wave-function, hybridization gap, and magnetic phase diagram of the Single Site Impurity Anderson Model (SIAM) and the Periodic Anderson Model (PAM) were calculated using Exact-Diagonalization (ED) technique. The ED technique was applied to the SIAM and PAM in one dimension before speculating on Ce 4f being a test bed of the results since it has 4f localized electrons in the Heavy fermion compound CeCu2Si2. Each of the results obtained describe the evolution of the electronic system in terms of a simple set of parameters. The parameter regimes studied suggest a smooth phase transition from an antiferromagnetic (AFM) phase to a ferromagnetic (FM) phase at quarter fillings in one dimension when t increases and a magnetic instability was observed as U → ∞. The role of hybridization between the conduction electrons and the localized f orbital in the Anderson impurity in a semiconductor was also investigated as V increases in the SIAM and the PAM.


Keywords


transition point, hybridization gap, ferromagnetism, antiferromagnetism

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References


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