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We discuss how to extend the impurity entropy to systems with boundaryinteractions depending on zero-mode real fermion operators (Majorana modes aswell as Klein factors). As specific applications of our method, we consider ajunction between N interacting quantum wires and a topological superconductor,as well as a Y-junction of three spinless interacting quantum wires. Inaddition we find a remarkable correspondence between the N=2 topologicalsuperconductor junction and the Y-junction. On one hand, this allows us todetermine the range of the system parameters in which a stable phase of the N=2junction is realized as a nontrivial, finite-coupling fixed point correspondingto the M-fixed point in the phase diagram of the Y-junction. On the other hand,it enables us to show the occurrence of a novel "planar" finite-coupling fixedpoint in the phase diagram of the Y-junction. Eventually, we discuss how to setthe system's parameters to realize the correspondence.

nuclear physics b

Real fermion modes, impurity entropy, and nontrivial fixed points in the  phase diagram of junctions of interacting quantum wires and topological  superconductors