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

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arxiv 1511.06319 v4 pith:T2P52IUQ 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
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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