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Odd-frequency superconductivity near a magnetic impurity in a conventional superconductor

Kuzmanovski, Dushko ; Seoane Souto, Ruben LU orcid and Balatsky, Alexander V. (2020) In Physical Review B - Condensed Matter and Materials Physics 101(9).
Abstract
Superconductor-ferromagnetic heterostructures have been suggested as one of the most promising alternatives of realizing odd-frequency superconductivity. In this work we consider the limit of shrinking the ferromagnetic region to the limit of a single impurity embedded in a conventional superconductor, which gives rise to localized Yu-Shiba-Rusinov (YSR) bound states with energies inside the superconducting gap. We demonstrate that all the sufficient ingredients for generating odd-frequency pairing are present at the vicinity of these impurities. We investigate the appearance of all possible pair amplitudes in accordance with the Berezinskii
SPOT=−1 rule, with the symmetry under the exchange of spin, spatial, orbital (in our case... (More)
Superconductor-ferromagnetic heterostructures have been suggested as one of the most promising alternatives of realizing odd-frequency superconductivity. In this work we consider the limit of shrinking the ferromagnetic region to the limit of a single impurity embedded in a conventional superconductor, which gives rise to localized Yu-Shiba-Rusinov (YSR) bound states with energies inside the superconducting gap. We demonstrate that all the sufficient ingredients for generating odd-frequency pairing are present at the vicinity of these impurities. We investigate the appearance of all possible pair amplitudes in accordance with the Berezinskii
SPOT=−1 rule, with the symmetry under the exchange of spin, spatial, orbital (in our case O=+1), and time index, respectively. We study the spatial and frequency dependence of the possible pairing amplitudes, analyzing their evolution with impurity strength and identifying a reciprocity between different symmetries related through impurity scattering. We show that the odd-frequency spin-triplet pairing amplitude dominates at the critical impurity strength, where the YSR states merge at the middle of the gap, while the even components are quenched close to the impurity. We also show that the spin-polarized local density of states exhibits the same spatial and frequency behavior as the odd-ω spin-triplet component at the critical impurity strength. (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B - Condensed Matter and Materials Physics
volume
101
issue
9
article number
094505
publisher
American Physical Society
external identifiers
  • scopus:85083248737
ISSN
2469-9950
DOI
10.1103/PhysRevB.101.094505
language
English
LU publication?
yes
id
9ad7de2a-e77f-482a-93b4-397b08e529b9
date added to LUP
2020-03-05 18:53:41
date last changed
2023-11-20 00:45:05
@article{9ad7de2a-e77f-482a-93b4-397b08e529b9,
  abstract     = {{Superconductor-ferromagnetic heterostructures have been suggested as one of the most promising alternatives of realizing odd-frequency superconductivity. In this work we consider the limit of shrinking the ferromagnetic region to the limit of a single impurity embedded in a conventional superconductor, which gives rise to localized Yu-Shiba-Rusinov (YSR) bound states with energies inside the superconducting gap. We demonstrate that all the sufficient ingredients for generating odd-frequency pairing are present at the vicinity of these impurities. We investigate the appearance of all possible pair amplitudes in accordance with the Berezinskii <br/>SPOT=−1 rule, with the symmetry under the exchange of spin, spatial, orbital (in our case O=+1), and time index, respectively. We study the spatial and frequency dependence of the possible pairing amplitudes, analyzing their evolution with impurity strength and identifying a reciprocity between different symmetries related through impurity scattering. We show that the odd-frequency spin-triplet pairing amplitude dominates at the critical impurity strength, where the YSR states merge at the middle of the gap, while the even components are quenched close to the impurity. We also show that the spin-polarized local density of states exhibits the same spatial and frequency behavior as the odd-ω spin-triplet component at the critical impurity strength.}},
  author       = {{Kuzmanovski, Dushko and Seoane Souto, Ruben and Balatsky, Alexander V.}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{9}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B - Condensed Matter and Materials Physics}},
  title        = {{Odd-frequency superconductivity near a magnetic impurity in a conventional superconductor}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.101.094505}},
  doi          = {{10.1103/PhysRevB.101.094505}},
  volume       = {{101}},
  year         = {{2020}},
}