Phase-shifted Andreev levels in an altermagnet Josephson junction

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 ${\Delta }_0$, phase difference $\varphi$). Compared to a nonmagnetic junction, the $\varphi$-dependence of the spectrum is shifted by an offset $\pm \delta \varphi$, dependent on the spin direction, so that the Andreev levels become spin-polarized. In a planar junction, oriented along the crystalline axis of $d_{xy}$-wave symmetry, the excitation energies are determined by the normal-state transmission probability $T$ according to $E={\Delta }_0\sqrt{1-T{\sin }^2\frac{1}{2}(\varphi \pm \delta \varphi )}$. We calculate the corresponding Josephson energy and supercurrent, recovering the 0-$\pi$ transition of related studies.

7 pages, 8 figures

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• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Spontaneous anomalous Hall effect arising from an unconventional compensated magnetic phase in a semiconductor
• dc Josephson Effect in Altermagnets

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