Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges

Details Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges

2009-11-09

arxiv.org/abs/0911.1782v2

Phys. Rev. B, 81.134435 (2010)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

In this paper we study a novel superconductor-ferromagnet-superconductor (SC-FM-SC) Josephson junction array deposited on top of a two-dimensional quantum spin Hall (QSH) insulator. The existence of Majorana bound states at the interface between SC and FM gives rise to charge-e tunneling, in addition to the usual charge-2e Cooper pair tunneling, between neighboring superconductor islands. Moreover, because Majorana fermions encode the information of charge number parity, an exact Z_2 gauge structure naturally emerges and leads to many new insulating phases, including a deconfined phase where electrons fractionalize into charge-e bosons and topological defects. A new superconductor-insulator transition has also been found.

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