Electromagnetic absorption of quasi-1D Majorana nanowires

Abstract

We calculate the electromagnetic absorption cross section of long and narrow nanowires, in the so-called quasi-1D limit. We consider only two transverse bands and compute the dipole absorption cross section taking into account quasiparticle transitions from negative to positive energy eigenstates of the Bogoliubov-de Gennes Hamiltonian. The presence of the zero energy (Majorana) state manifests in the different absorption spectra for x (parallel) and y (transverse) polarizations of the electromagnetic field.

In the y -polarized case, the Majorana state causes a low energy absorption plateau extending from mid-gap up to full-gap energy. Increasing further the energy, the plateau is followed by a region of enhanced absorption due to transitions across the full gap. For x polarization the low energy absorption plateau is not observed. (© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim).