Symmetry analysis of transport properties in helical superconductor junctions

Abstract

We study discrete symmetries satisfied by helical $p$-wave superconductors with d-vectors $k_x\hat{x}\pm k_y\hat{y}$ or $k_y\hat{x}\pm k_x\hat{y}$ and transformations brought by the symmetry operations to ferromagnet and spin-singlet superconductors, which show intimate associations with transport properties in heterojunctions including helical superconductor. Especially, the partial symmetries of the Hamiltonian under the spin-rotation and gauge-rotation operations are responsible for novel invariances of the conductance in tunnel junctions and new selection rules of the lowest current and peculiar phase diagrams in Josephson junctions which are reported recently. The symmetries of constructed free energies for Josephson junctions are also analyzed which are consistent with the results from Hamiltonian.

24 pages, 7 figures

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Cited by in corpus (5)

• Orientation-dependent Josephson effect in spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions
• Field-free Josephson diode effect in altermagnet/normal metal/altermagnet junctions
• Josephson diode based on conventional superconductors and a chiral quantum dot
• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations