Bound State and Order Parameter Mixing Effect by Nonmagnetic Impurity Scattering in Two-band Superconductors

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Abstract

We investigate nonmagnetic impurity effects in two-band superconductors, focusing on the effects of interband impurity scatterings. Within the Born approximation, it is known that interband scatterings mix order parameters in the two bands. In particular, only one averaged energy gap appears in the excitation spectrum in the dirty limit [G. Gusman: J. Phys. Chem. Solids 28 (1967) 2327]. In this paper, we take into account the interband scattering within the t-matrix approximation beyond the Born approximation in the previous work. We show that, although the interband scattering is responsible for the mixing effect, this effect becomes weak when the interband scattering becomes very strong. In the strong interband scattering limit, a two-gap structure corresponding to two order parameters recovers in the superconducting density of states. We also show that a bound state appears around a nonmagnetic impurity depending on the phase of interband scattering potential.

Original languageEnglish
Pages (from-to)1978-1992
Number of pages15
JournalJournal of the Physical Society of Japan
Volume71
Issue number8
DOIs
Publication statusPublished - 2002 Aug
Externally publishedYes

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impurities
scattering
Born approximation
approximation
excitation

Keywords

  • Bound state
  • MgB
  • Multi-gap superconductivity
  • Nonmagnetic impurity effect
  • Two-band superconductors

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "We investigate nonmagnetic impurity effects in two-band superconductors, focusing on the effects of interband impurity scatterings. Within the Born approximation, it is known that interband scatterings mix order parameters in the two bands. In particular, only one averaged energy gap appears in the excitation spectrum in the dirty limit [G. Gusman: J. Phys. Chem. Solids 28 (1967) 2327]. In this paper, we take into account the interband scattering within the t-matrix approximation beyond the Born approximation in the previous work. We show that, although the interband scattering is responsible for the mixing effect, this effect becomes weak when the interband scattering becomes very strong. In the strong interband scattering limit, a two-gap structure corresponding to two order parameters recovers in the superconducting density of states. We also show that a bound state appears around a nonmagnetic impurity depending on the phase of interband scattering potential.",
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AB - We investigate nonmagnetic impurity effects in two-band superconductors, focusing on the effects of interband impurity scatterings. Within the Born approximation, it is known that interband scatterings mix order parameters in the two bands. In particular, only one averaged energy gap appears in the excitation spectrum in the dirty limit [G. Gusman: J. Phys. Chem. Solids 28 (1967) 2327]. In this paper, we take into account the interband scattering within the t-matrix approximation beyond the Born approximation in the previous work. We show that, although the interband scattering is responsible for the mixing effect, this effect becomes weak when the interband scattering becomes very strong. In the strong interband scattering limit, a two-gap structure corresponding to two order parameters recovers in the superconducting density of states. We also show that a bound state appears around a nonmagnetic impurity depending on the phase of interband scattering potential.

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