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arxiv: 1511.06319 · v4 · pith:T2P52IUQnew · submitted 2015-11-19 · ❄️ cond-mat.str-el · cond-mat.mes-hall

Luttinger liquid in contact with a Kramers pair of Majorana bound states

classification ❄️ cond-mat.str-el cond-mat.mes-hall
keywords interactionsandreevhallkramersmajoranapairquantumspin
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We discuss the signatures of a Kramers pair of Majorana modes formed in a Josephson junction on top of a quantum spin Hall system. We show that, while ignoring interactions on the quantum spin Hall edge allows arbitrary Andreev process in the system, moderate repulsive interactions stabilize Andreev transmission - the hole goes into the opposite lead from where the electron has arrived. We analyze the renormalization group equations and deduce the existence of a non-trivial critical point for sufficiently strong interactions.

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