Majorana fermions in s-wave noncentrosymmetric superconductor with Dresselhaus (110) spin-orbit coupling

Abstract

The asymmetric spin-orbit interactions play a crucial role in realizing topological phases in a noncentrosymmetric superconductor (NCS). We investigate the edge states and the vortex core states in the s-wave NCS with Dresselhaus (110) spin-orbit coupling by both numerical and analytical methods. In particular, we demonstrate that there exists a semimetal phase characterized by the flat Andreev bound states in the phase diagram of the s-wave Dresselhaus NCS which supports the emergence of Majorana fermions. The flat dispersion implies a peak in the density of states which has a clear experimental signature in the tunneling conductance measurements and the Majorana fermions proposed here should be experimentally detectable. © 2013 American Physical Society.