VietNam 2013 

IXth Rencontres du Vietnam
Quy-Nhon, August 4-10, 2013


 Nanophysics: from fundamentals to applications

(the return)


Thursday 8

› 15:00 - 15:20 (20min)
Parity effects due to Majorana fermions on the Quantum Spin Hall insulator edge
Carlo Beenakker  1@  , Dmitry Pikulin  1@  , Timo Hyart  1@  , Henning Schomerus  2@  , Jan Dahlhaus  1@  
1 : Instituut-Lorentz, Universiteit Leiden  -  Website
P.O. Box 9506, 2300 RA Leiden -  Netherlands
2 : Lancaster University  -  Website
Bailrigg, Lancaster. UK LA1 4YW -  United Kingdom

The helical edge state of a quantum spin-Hall insulator can constitute the weak link in a Josephson junction and carry an equilibrium supercurrent between two superconducting electrodes. We calculate the maximum (critical) current I_c that can flow without dissipation along a single edge, going beyond the short-junction restriction of earlier work, and find a dependence on the fermion parity of the ground state when separation of the electrodes becomes larger than the coherence length. Fermion-parity conservation doubles the critical current in the low-temperature, long-junction limit, while for a short junction I_c is the same with or without parity constraints. This provides a phase-insensitive, DC signature of the 4pi-periodic Josephson effect.

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