Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 108: Topological Superconductors

TT 108.10: Talk

Friday, March 16, 2018, 12:00–12:15, H 2053

Semiclassical quantisation of spinning quasiparticles in ballistic Josephson Junctions — •Sebastian Bergeret¹, Ilya Tokatly², and François Konschelle¹ — ¹Material Phsyics Center (CSIC) , San Sebastian — ²Universidad del Pais Vasco

A Josephson junction made of a generic magnetic material sandwiched between two conventional superconductors is studied in the ballistic semiclassic limit. The spectrum of Andreev bound states is obtained from the single valuedness of a particle-hole spinor over closed orbits generated by electron-hole reflections at the interfaces between superconducting and normal materials. The semiclassical quantization condition is shown to depend only on the angle mismatch between initial and final spin directions along such closed trajectories. For the demonstration, an Andreev-Wilson loop in the composite position* particle-hole*spin space is constructed and shown to depend on only two parameters, namely, a magnetic phase shift and a local precession axis for the spin. The details of the Andreev-Wilson loop can be extracted via measuring the spin-resolved density of states. A Josephson junction can thus be viewed as an analog computer of closed-path-ordered exponentials.
Phys. Rev. Lett. 116, 237002 (2016)
Phys. Rev. B. 94, 014515 (2016).