Singlet Ground State of the Localized d-Electrons Coupled with Conduction Electrons in Metals

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概要

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• The theory of the singlet ground state for the s-d exchange model is extended to the core of d-electrons with orbital degeneracy. The effective s-d Hamiltonian is derived from the extended Anderson Hamiltonian by the Schrieffer-Wolff canonical transformation. On the basis of the effective Hamiltonian, the ground-state wave function and the ground-state energy are calculated. The anomalous part of the ground-state energy is given by -Dexp[N/(2l+1)ρJ], independently of the d-electron number, when the Hund coupling is neglected compared with the effective s-d interaction. This binding energy is much larger than that for a localized s-electron because of an extra factor of 1/(2l+1) in the exponent. This large value is caused mainly by the orbital quenching. For a more realistic case in which the Hund coupling is larger than the interaction, it reduces to a smaller value of -Dexp[(2l+1)N/ρJ] for a half-filled shell in which orbital exchange does not exist. This value is due purely to the spin quenching. Qualitative discussion is given about the spin quenching and orbital quenching on the effective Hamiltonian derived for n=2I, n being the number of d-electrons.

• 理論物理学刊行会の論文
• 1973-05-25

著者

• Yoshida Kei

  Institute For Solid State Physics University Of Tokyo

• Okada Isamu

  Department Of Physics University Of Yokohama City

• OKADA Isamu

  Department of Physics, University of Yokohama City

• YOSHIDA Kei

  Institute for Solid State Physics, University of Tokyo

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• Theory of the Electrical Resistivity of Amorphous Metals
• Orthogonality Catastrophe for a System of Interacting Electrons. III
• Singlet Ground State of the Localized d-Electrons Coupled with Conduction Electrons in Metals

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