Tunable odd-frequency triplet pairing states and skyrmion modes in chiral p-wave superconductor

Abstract

Bogliubov-de Gennes equations are solved self-consistently to investigate the properties of bound states in chiral p-wave superconductive disks. It shows that either an s-wave or the mixed d- and s-wave state with odd-frequency and spin-triplet symmetry is induced at the vortex core, depending both on the chirality of the pairing states and on the vortex topology. It is also found that the odd-frequency triplet even parity (OTE) bound state can be manipulated with a local non-magnetic potential. Interestingly, with an appropriate potential amplitude, the zero-energy OTE bound state can be stabilized at a distance from the vortex core and from the local potential. Possible existences of the Majorana fermion modes are expected if the particle-hole symmetry property is applied to the zero-energy OTE bound state. Moreover, skyrmion modes with an integer topological charge have been found to exist.

The chiral edge state and Majorana fermion in hole-doped YBa 2 Cu 3 O 7− δ mesoscopic strip

“…It is worthwhile to mention that there were no Majorana zero-energy modes in edges or vortex for a s-wave superconductor in the absence of the spin-orbit interaction and the Zeeman field. For a p-wave superconductor, however, there are indeed Majorana zero modes in a vortex, as studied by several research groups [14,25] and 1 chiral Majorana-Weyl mode per edge (central charge c = 1/2). This is related to the Ising anyon [26].…”