Vortex charge and impurity effects based on quasiclassical theory

Abstract

We investigate charge densities around the vortex cores of an s-wave and a chiral p-wave superconductor (SC) in two dimension within quasiclassical theory. We consider contributions of particle-hole asymmetry through gradient expansions in first order of a quasiclassical parameter using augmented quasiclassical theory. The chiral p-wave SC has two inequivalent vortices: one is charged and the other is uncharged on the basis of Bogoliubov--de Gennes (BdG) equation. We explain this qualitatively distinct charges also by the augmented quasiclassical theory. In addition, we find that much larger charge is induced for the charged vortex of the chiral p-wave SC compared with the vortex of the s-wave SC in the clean system. We also confirm this enhancement through quantitative comparison with results based on the BdG theory. We also study effects of Born-type impurities using self-energy formalism and find that the larger charge density is rather suppressed in contrast to the s-wave's one. Furthermore we study the local density of states as another equilibrium property of particle-hole asymmetry.

arXiv comment11 pages, 6 figures

References in corpus (22)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Low-lying Quasiparticle Excitations around a Vortex Core in Quantum Limit
• Spectral Flow, Magnus Force and Mutual Friction via the Geometric Optics Limit of Andreev Reflection
• Electrostatics of Vortices in Type II Superconductors
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Phase-Sensitive Impurity Effects in Vortex Core of Moderately Clean Chiral Superconductors
• Model for Vortex-core tunneling spectroscopy of chiral p-wave superconductors via odd-frequency pairing states
• Wigner quasi-distribution function for charged particles in classical electromagnetic fields
• Gauge Invariance and Hall Terms in the Quasiclassical Equations of Superconductivity
• Relation between Vortex core charge and Vortex Bound States
• Kramer-Pesch effect in chiral p-wave superconductors
• Numerical Study of Impurity Effects on Quasiparticles within S-wave and Chiral P-wave Vortices
• Impurity Effect on Kramer-Pesch Core Shrinkage in s-Wave Vortex and Chiral p-Wave Vortex
• Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor
• Nuclear Magnetic Relaxation Rate in the Vortex State of a Chiral p-Wave Superconductor
• Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations
• Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors
• Effects of Weak and Strong Scatterers on the Spectra of Vortex Andreev Bound States in Two-Dimensional Chiral p-wave Superconductors
• Charged and uncharged vortices in quasiclassical theory

Cited by in corpus (5)

• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor
• Charging in the vortex lattice of type-II superconductors
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors