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Doctoral Thesis
DOI
https://doi.org/10.11606/T.76.1998.tde-11062008-153727
Document
Author
Full name
Cíntia Aguiar de Paula
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1998
Supervisor
Committee
Oliveira, Luiz Nunes de (President)
Iglesias, José Roberto
Ioriatti Junior, Lidério Citrangulo
Marques, Gilmar Eugenio
Miranda, Eduardo
Title in Portuguese
Densidade espectral para o Modelo de Anderson de duas impurezas
Keywords in Portuguese
Metais
Modelo de Anderson
Propriedades dinâmincas
Abstract in Portuguese
Calculamos a densidade espectral do modelo de Anderson de duas impurezas por meio de uma extensão do grupo de renormalização numérico (GRN) preservando a assimetria partícula-buraco do modelo. O estado fundamental deste modelo depende fortemente da competição entre a interação RKKY 1 e a temperatura de Kondo TK. Essa competição gera três regimes característicos: (i) 11\ « k B TK, regime Kondo; (ii) - 1» kBTK, regime ferromagnético; and (iii) 1» kBTK, regime antiferromagnético. O Hamiltoniano é invariante sob inversão das coordenadas da impureza ± R/2. Seus auto-estados, portanto, podem ser classificados de acordo com a paridade. Calculamos as densidades espectrais par e ímpar para os parâmetros representativos do modelo em cada um dos três regimes mencionados acima. Várias características dos resultados numéricos, associadas com a formação de um tripleto ou singleto entre as impurezas e com o efeito Kondo, são discutidas.
Title in English
Spectral density for the Anderson's Model of two impurities.
Keywords in English
Andeson's Model
Dynamic properties
Metals
Abstract in English
We calculated the spectral density for the two-impurity Anderson model by means of an extension of the numerical renormalization-group (NRG) preserving the particle-hole asymmetry of the model. The ground state of this model depends strongly on the competition between the RKKY interaction I and the Kondo temperature TK. That competition generates three characteristic regimes: (i) 11\« kBTK, Kondo regime; (ii) - I» kBTK, ferromagnetic regime; and (iii) I > > k B TK, antiferromagnetic regime. The Hamiltonian is invariant under inversion of the impurity coordinates ± R/2 . Its eigenstates can therefare be classified according to parity. We have calculated the even and odd spectral densities for model parameters representative of each of the three above mentioned regimes. Various features af the numerical results, associated with the formation of an impurity singlet ar triplet and with the Kondo effect, are discussed.
 
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CintiaPaula_D.pdf (4.47 Mbytes)
Publishing Date
2008-06-12
 
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