Charged and uncharged vortices in quasiclassical theory

Abstract

The charging effect of a superconducting vortex core is very important for transport properties of superconducting vortices. The chiral p-wave superconductor, known as a topological superconductor (SC), has a Majorana fermion in a vortex core and the charging effect has been studied using microscopic Bogoliubov-de Gennes (BdG) theory. According to calculations based on the BdG theory, one type of the vortex is charged as well as the vortex of the s-wave SC, while the other is uncharged. We reproduce this interesting charging effect using an augmented quasiclassical theory in chiral p-wave SCs, by which we can deal with particle-hole asymmetry in the quasiclassical approximation.

6 pages, 2 figures

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor
• Impurity Effects on Bound States in the Vortex Core of Topological S-wave Superconductor
• Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors
• Impurity Effects on Caroli-de Gennes-Matricon Mode in a Vortex Core in Superconductors

Cited by in corpus (2)

• Vortex charge and impurity effects based on quasiclassical theory
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor