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p-wave superconductivity and Josephson current in p-wave unconventional magnet/s-wave superconductor hybrid systems

Yuri Fukaya1, Keiji Yada2, and Yukio Tanaka2

  • 1Faculty of Environmental Life, Natural Science and Technology, Okayama University, Okayama 700-8530, Japan
  • 2Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan

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Phys. Rev. B 114, 014503 – Published 6 July, 2026

DOI: https://doi.org/10.1103/2gh7-y6w5

Abstract

We study the surface density of states in p-wave unconventional magnet/spin-singlet s-wave superconductor hybrid systems (p-wave unconventional magnetic superconductors). Owing to the noncollinear spin structure in p-wave unconventional magnets, the spin-singlet s-wave pair potential behaves as the spin-triplet p-wave superconductivity. As a result, zero-energy flat bands can emerge at the edge. Analyzing the pair amplitude at the edge, odd-frequency spin-triplet even-parity pairing is induced in the presence of zero-energy flat bands, while even-frequency spin-singlet even parity remains. We also demonstrate the Josephson current in superconducting junctions with p-wave unconventional magnet/spin-singlet s-wave superconductor hybrid systems. By the cooperation of the spin-singlet s-wave pair potential and the p-wave unconventional magnetic order, the coupling of the spin-singlet even-parity pairings in junctions generates the first harmonics of the Josephson current. In addition, the temperature dependence of the maximum Josephson current can be tuned by the chemical potential, which determines the generation of zero-energy flat bands. Our results indicate that the s+p-wave-like superconducting state is generated in p-wave unconventional magnet/s-wave superconductor hybrid systems.

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Phys. Rev. B 114, 014503– Published 6 July, 2026
  • Received 29 December 2025
  • Revised 7 June 2026
  • Accepted 12 June 2026
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