טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentYaacov Kraus
SubjectMajorana States of a Px+iPy Superconductor
DepartmentDepartment of Physics
Supervisor Full Professor Auerbach Assa
Full Thesis textFull thesis text - English Version


Abstract

The Bogoliubov-de-Gennes (BdG) equation of a px+ipy superconductor is solved numerically on a sphere for two cases: (i) A vortex-antivortex pair in opposite poles, (ii) An edge at the south pole and an antivortex in the north pole. The vortex cores support a Majorana state, the energy of which decreases exponentially with the radius of the sphere, independently of a moderate white noise disorder potential. The tunneling conductance of an electron into the superconductor near the position of a vortex is computed for finite temperature, and is compared to the case of an s-wave superconductor. The zero bias conductance peak of the antivortex is half that of the vortex. This effect can be used as a probe of the order parameter symmetry, and as a direct measurement of the Majorana state.