Quasiparticle States Around a Half-quantum Vortex in a Chiral p-wave Superconducting State

We study the quasiparticle states around a half-quantum vortex core in chiral p-wave superconducting state using a square lattice single band model based on the Bogoliubov-de Gennes theory. Three pronounced peaks are found in the local density of states around the core, including the zero-energy peak corresponding to the Majorana state. We also study the quasiparticle states around a nonmagnetic impurity, and find almost the same peak structure except for the absence of the Majorara peak.