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
Author(s) Details
D. Schmeltzer Author(s) Details
Department of Physics, City College of the City University of New York, New York 10031, USA.
View Book :- http://bp.bookpi.org/index.php/bpi/catalog/book/210
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