Theory of proximity effect in s+p -wave superconductor junctions

Yukio Tanaka; Tim Kokkeler; Alexander Golubov

doi:10.1103/PhysRevB.105.214512

Theory of proximity effect in s+p -wave superconductor junctions

Yukio Tanaka^*, Tim Kokkeler, Alexander Golubov

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

We derive a boundary condition for the Nambu Keldysh Green's function in diffusive normal metal-unconventional superconductor junctions applicable for mixed parity pairing. Applying this theory to a 1d model of s+p-wave superconductor, we calculate LDOS in DN and charge conductance of DN-s+p-wave superconductor junctions. When the s-wave component of the pair potential is dominant, LDOS has a gap like structure at zero energy and the dominant pairing in DN is even-frequency spin-singlet s-wave. On the other hand, when the p-wave component is dominant, the resulting LDOS has a zero energy peak and the dominant pairing in DN is odd-frequency spin-triplet s-wave. We show the robustness of the quantization of the conductance when the magnitude of p-wave component of the pair potential is larger than that of s-wave one. These results show the robustness of the anomalous proximity effect specific to spin-triplet superconductor junctions.

Original language	English
Article number	214512
Journal	Physical review B: Covering condensed matter and materials physics
Volume	105
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevB.105.214512
Publication status	Published - 17 Jun 2022

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title = "Theory of proximity effect in s+p -wave superconductor junctions",

abstract = "We derive a boundary condition for the Nambu Keldysh Green's function in diffusive normal metal-unconventional superconductor junctions applicable for mixed parity pairing. Applying this theory to a 1d model of s+p-wave superconductor, we calculate LDOS in DN and charge conductance of DN-s+p-wave superconductor junctions. When the s-wave component of the pair potential is dominant, LDOS has a gap like structure at zero energy and the dominant pairing in DN is even-frequency spin-singlet s-wave. On the other hand, when the p-wave component is dominant, the resulting LDOS has a zero energy peak and the dominant pairing in DN is odd-frequency spin-triplet s-wave. We show the robustness of the quantization of the conductance when the magnitude of p-wave component of the pair potential is larger than that of s-wave one. These results show the robustness of the anomalous proximity effect specific to spin-triplet superconductor junctions.",

author = "Yukio Tanaka and Tim Kokkeler and Alexander Golubov",

note = "Funding Information: This work was supported by Scientific Research (A) (KAKENHI Grant No. JP20H00131), and Scientific Research (B) (KAKENHI Grants No. JP18H01176 and No. JP20H01857). T.K. acknowledges financial support from Spanish AEI through project PID2020-114252GB-I00 (SPIRIT). Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

year = "2022",

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day = "17",

doi = "10.1103/PhysRevB.105.214512",

language = "English",

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AU - Tanaka, Yukio

AU - Kokkeler, Tim

AU - Golubov, Alexander

N1 - Funding Information: This work was supported by Scientific Research (A) (KAKENHI Grant No. JP20H00131), and Scientific Research (B) (KAKENHI Grants No. JP18H01176 and No. JP20H01857). T.K. acknowledges financial support from Spanish AEI through project PID2020-114252GB-I00 (SPIRIT). Publisher Copyright: © 2022 American Physical Society.

PY - 2022/6/17

Y1 - 2022/6/17

N2 - We derive a boundary condition for the Nambu Keldysh Green's function in diffusive normal metal-unconventional superconductor junctions applicable for mixed parity pairing. Applying this theory to a 1d model of s+p-wave superconductor, we calculate LDOS in DN and charge conductance of DN-s+p-wave superconductor junctions. When the s-wave component of the pair potential is dominant, LDOS has a gap like structure at zero energy and the dominant pairing in DN is even-frequency spin-singlet s-wave. On the other hand, when the p-wave component is dominant, the resulting LDOS has a zero energy peak and the dominant pairing in DN is odd-frequency spin-triplet s-wave. We show the robustness of the quantization of the conductance when the magnitude of p-wave component of the pair potential is larger than that of s-wave one. These results show the robustness of the anomalous proximity effect specific to spin-triplet superconductor junctions.

AB - We derive a boundary condition for the Nambu Keldysh Green's function in diffusive normal metal-unconventional superconductor junctions applicable for mixed parity pairing. Applying this theory to a 1d model of s+p-wave superconductor, we calculate LDOS in DN and charge conductance of DN-s+p-wave superconductor junctions. When the s-wave component of the pair potential is dominant, LDOS has a gap like structure at zero energy and the dominant pairing in DN is even-frequency spin-singlet s-wave. On the other hand, when the p-wave component is dominant, the resulting LDOS has a zero energy peak and the dominant pairing in DN is odd-frequency spin-triplet s-wave. We show the robustness of the quantization of the conductance when the magnitude of p-wave component of the pair potential is larger than that of s-wave one. These results show the robustness of the anomalous proximity effect specific to spin-triplet superconductor junctions.

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DO - 10.1103/PhysRevB.105.214512

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SN - 2469-9950

VL - 105

JO - Physical review B: Covering condensed matter and materials physics

JF - Physical review B: Covering condensed matter and materials physics

IS - 21

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ER -

Theory of proximity effect in s+p -wave superconductor junctions

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Erratum: Theory of proximity effect in s+p -wave superconductor junctions (Physical Review B (2022) 105 (214512) DOI: 10.1103/PhysRevB.105.214512)

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