Cooper-Pair Injection into Quantum Spin Hall Insulators

Details Cooper-Pair Injection into Quantum Spin Hall Insulators Cooper-Pair Injection into Quantum Spin Hall Insulators

2010-03-23

arxiv.org/abs/1003.4316v2

Phys. Rev. Lett. 105 (2010) 226401

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages and 1 figure

Scientific paper

10.1103/PhysRevLett.105.226401

We theoretically study tunneling of Cooper pairs from a superconductor spanning a two-dimensional topological insulator strip into its helical edge states. The coherent low-energy electron-pair tunneling sets off positive current cross correlations along the edges, which reflect an interplay of two quantumentanglement processes. Most importantly, superconducting spin pairing dictates a Cooper pair partitioning into the helical edge liquids, which transport electrons in opposite directions for opposite spin orientations. At the same time, Luttinger-liquid correlations fractionalize electrons injected at a given edge into counterpropagating charge pulses carrying definite fractions of the elementary electron charge.

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