Extra findings! Exceptional points—parameters where the Hamiltonian is not diagonalizable—shift between periodic and open boundaries. Our analysis reveals why these shifts occur in our Rashba-ferromagnet system. 7/9

We prove the equivalence of these two pictures: directional spin dissipation ↔ non-Hermitian skin modes. Non-Hermitian physics offers a fresh lens to reinterpret familiar transport phenomena that hide under conventional Hermitian formalisms. 6/9

Transport theory predicts a symmetric local conductance and a markedly non-reciprocal nonlocal conductance for large axial magnetic fields. We show that this non-reciprocity is a direct fingerprint of NHSE in electronic devices. 5/9

We consider Rashba wire coupled to a ferromagnetic lead. The lead induces spin-dependent dissipation, so one spin species decays faster. Via spin-momentum locking, this yields *directional dissipation*: right-movers attenuate strongly, left-movers hardly at all. 4/9

The presence of Majorana zero modes at a tunnel junction significantly enhances the effect because their conductance depends on the square root of the transparency.

The effect is controlled by the applied magnetic field. It's perfect for cylindrically symmetric systems (red) and worsens as this symmetry is reduced (green and blue).

When building a Josephson junction with full-shell nanowires with different radii, each wire can acquire a different superconducting phase winding. In this case, the supercurrent is blocked, while it's finite if they are equal.