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

DI Pikulin, Y Komijani, I Affleck - Physical Review B, 2016 - APS
Physical Review B, 2016APS
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 processes 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 phase diagram as a function of interaction strength.
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 processes 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 phase diagram as a function of interaction strength.
American Physical Society
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