Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions

Romain Jacquet (1, 2) , Jérôme Rech (2, 1) , Thibaut Jonckheere (2, 1) , Alex Zazunov (3) , Thierry Martin (2, 1)

1 CPT - E6 Nanophysique
2 CPT - Centre de Physique Théorique - UMR 7332
3 Insitut fur Theoretische Physik I

We present a unified description of a junction between s-wave (BCS) superconductors and a junction between p-wave superconductors in a topologically nontrivial phase, which relies on a scattering state expansion. We compute Josephson current and thermal noise in the two kinds of junction and exhibit some characteristic features for a junction of two topological superconductors hosting Majorana zero-energy modes.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]; Supraconductivité [cond-mat.supr-con]

Romain Jacquet, Jérôme Rech, Thibaut Jonckheere, Alex Zazunov, Thierry Martin. Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions. The European Physical Journal B: Condensed Matter and Complex Systems, 2019, 92 (3), pp.59. ⟨10.1140/epjb/e2019-90461-y⟩. ⟨hal-02070923⟩