Spin Polarization of Conduction Electrons Due to s-d Exchange Interaction
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概要
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The spin polarization σ of the conduction electrons due to the s-d exchange interaction with a localized spin and the magnitude of the localized spin are calculated by the Rayleigh-Schrodinger perturbation method up to the fourth order in J. It is found that the relation σ=(ρJ/2N) <S_z> holds, where <S_z> is the expectation value of the localized spin in the ground state and ρ is the state density of the conduction electrons at the Fermi surface. The magnitude of the localized spin <S_z> can be expressed in the form <S_z>=S_z[1-(ρJ)/(2N){1-(1-(ρJ)/N log (kT)/D)^<-1>}] if we take only the first order in ρJ/2N. For the ferromagnetic interaction J>0, it is found from this expression that there appears no singularity in <S_z> in the whole temperature region and that the total spin is conserved at the absolute zero of temperature. For the antiferromagnetic case, <S_z> has a pole at T_c, which is determined by 1-(ρJ/N)log (kT/D)=0, and below T_c, <S_z> becomes larger than S_z. Therefore, below T_c, the perturbational treatment is not admitted. Finally, the low temperature behavior of the electrical resistivity is discussed.
- 理論物理学刊行会の論文
- 1965-10-25
著者
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Yosida Kei
Institute De Fiziko Nagoya Universitato.
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Okiji Ayao
Institute For Solid State Physics University Of Tokyo
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