An Overview of the Andreev Crossed Reﬂection-A Majorana Path Integral Approach
We investigate the effect of the Majorana Fermions which are formed at the boundary of a p-wave superconductor. When the Majorana overlapping energy is ﬁnite we construct the scattering matrix S by maping the Majorana zero mode to Fermions for which coherent states are deﬁned and a path integral is obtained. The path integral is used to compute the scattering matrix in terms of the electrons in the leads. This method is suitable for computing the conductivity. We investigate a chiral Majorana Hamiltonian and show that in the absence of vortices the conductivity vanish. We computetheconductivityforpwavesuperconductorcoupledtotwometallicleadsweshowthatwhen the overlapping energy between the two Majorana fermions is ﬁnite the Andreev Crossed reﬂection conductance is ﬁnite
Department of Physics, City College of the City University of New York, New York 10031, USA.
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