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Nonlocal Andreev reflection, fractional charge and current-phase relation in topological bilayer exciton condensate junctions

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arxiv 1407.2298 v1 pith:OC72KKY3 submitted 2014-07-08 cond-mat.mes-hall cond-mat.str-elcond-mat.supr-con

classification cond-mat.mes-hallcond-mat.str-elcond-mat.supr-con
keywords reflectionandreevnonlocalbilayerchargecurrentsexcitonfractional
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We study Andreev reflection and Josephson currents in topological bilayer exciton condensates (TEC). These systems can create 100% spin entangled nonlocal currents with high amplitudes due to perfect nonlocal Andreev reflection. This Andreev reflection process can be gate tuned from a regime of purely retro reflection to purely specular reflection. We have studied the bound states in TEC-TI-TEC Josephson junctions and find a gapless dispersion for perpendicular incidence. The presence of a sharp transition in the supercurrent-phase relationship when the system is in equilibrium is a signature of fractional charge, which can be further revealed in ac measurements faster than relaxation processes via Landau-Zener processes.

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