Tunneling between Two Helical Superconductors via Majorana Edge Channels

Abstract

We discuss electric transport through a point contact which bridges Majorana fermion modes appearing at edges of two helical superconductors. The contents focus on effects of interference and interaction unique to the Majorana fermions and role of spin-orbit interaction (SOI). Besides the Josephson current, the quasi-particle conductance depends sensitively on phase difference and relative helicity between the two superconductors. The interaction among the Majorana fermions causes the power-law temperature dependences of conductance for various tunneling channels. Especially, in the presence of SOI, the conductance always increases as the temperature is lowered.

5pages, 1 figure embedded

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Cited by in corpus (6)

• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Intrinsic Time-reversal-invariant Topological Superconductivity in Thin Films of Iron-based Superconductors
• Anomalous Josephson current in superconducting topological insulator
• Probing Majorana-like states in quantum dots and quantum rings
• Two-impurity helical Majorana problem
• Tunneling between helical Majorana modes and helical Luttinger liquids