Ground State Properties and Localized Excited States around a Magnetic Impurity Described by the Anisotropic s-d Interaction in Superconductivity

Tomoki Yoshioka, Yoji Ohashi

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We investigate the electronic state around a magnetic impurity in the superconductivity in order to clarify how the anisotropy of the s-d interaction works in the presence of the superconducting energy gap. Using the numerical renormalization group method, we obtain regions induced by the anisotropy where two localized excited states with different energies appear at the same time; they cannot obtain as far as the isotropic interaction is considered. This means that the anisotropy of the s-d interaction works relevantly in some cases in the superconducting state. We also examine whether or not the bound state energy for the anisotropic and antiferromagnetic s-d interaction is scaled by TK/Δ (TK: Kondo temperature. Δ: superconducting order parameter), and find that it does not hold in the regions with two bound states.

Original languageEnglish
Pages (from-to)1332-1341
Number of pages10
JournalJournal of the Physical Society of Japan
Volume67
Issue number4
Publication statusPublished - 1998 Apr
Externally publishedYes

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superconductivity
impurities
ground state
anisotropy
excitation
interactions
renormalization group methods
energy
electronics
temperature

Keywords

  • Anisotropic s-d interaction
  • Kondo effect
  • Localized excited states
  • Superconductivity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "We investigate the electronic state around a magnetic impurity in the superconductivity in order to clarify how the anisotropy of the s-d interaction works in the presence of the superconducting energy gap. Using the numerical renormalization group method, we obtain regions induced by the anisotropy where two localized excited states with different energies appear at the same time; they cannot obtain as far as the isotropic interaction is considered. This means that the anisotropy of the s-d interaction works relevantly in some cases in the superconducting state. We also examine whether or not the bound state energy for the anisotropic and antiferromagnetic s-d interaction is scaled by TK/Δ (TK: Kondo temperature. Δ: superconducting order parameter), and find that it does not hold in the regions with two bound states.",
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AU - Ohashi, Yoji

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N2 - We investigate the electronic state around a magnetic impurity in the superconductivity in order to clarify how the anisotropy of the s-d interaction works in the presence of the superconducting energy gap. Using the numerical renormalization group method, we obtain regions induced by the anisotropy where two localized excited states with different energies appear at the same time; they cannot obtain as far as the isotropic interaction is considered. This means that the anisotropy of the s-d interaction works relevantly in some cases in the superconducting state. We also examine whether or not the bound state energy for the anisotropic and antiferromagnetic s-d interaction is scaled by TK/Δ (TK: Kondo temperature. Δ: superconducting order parameter), and find that it does not hold in the regions with two bound states.

AB - We investigate the electronic state around a magnetic impurity in the superconductivity in order to clarify how the anisotropy of the s-d interaction works in the presence of the superconducting energy gap. Using the numerical renormalization group method, we obtain regions induced by the anisotropy where two localized excited states with different energies appear at the same time; they cannot obtain as far as the isotropic interaction is considered. This means that the anisotropy of the s-d interaction works relevantly in some cases in the superconducting state. We also examine whether or not the bound state energy for the anisotropic and antiferromagnetic s-d interaction is scaled by TK/Δ (TK: Kondo temperature. Δ: superconducting order parameter), and find that it does not hold in the regions with two bound states.

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