Phase-shifted Andreev levels in an altermagnet Josephson junction

C. W. J. Beenakker; T. Vakhtel

doi:10.1103/PhysRevB.108.075425

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Phase-shifted Andreev levels in an altermagnet Josephson junction

C. W. J. Beenakker, T. Vakhtel

DOI 10.1103/PhysRevB.108.075425 · Physical Review B

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Abstract

We compute the effect of a d-wave magnetization (altermagnetism) on the spectrum of bound states (Andreev levels) in a junction between two s-wave superconductors (gap Δ0 and phase difference ϕ). Compared to a nonmagnetic junction, the ϕ dependence of the spectrum is shifted by an offset ±δϕ, dependent on the spin direction, so that the Andreev levels become spin polarized. In a planar junction, oriented along the crystalline axis of dxy-wave symmetry, the excitation energies are determined by the normal-state transmission probability T according to E=Δ01−Tsin212(ϕ±δϕ)0. We calculate the corresponding Josephson energy and supercurrent, recovering the 0-π transition of related studies.