Direct Numerical Demonstration of Sign-preserving Quasiparticle Interference via Impurity inside Vortex Core in Unconventional Superconductors

Abstract

We perform large-scale numerical calculations self-consistently solving the Bogoliubov-de Gennes (BdG) equations in the magnetic field together with random impurities to directly demonstrate the typical quasi-particle interference (QPI) in the presence of vortices as observed by scanning tunneling microscopy/spectroscopy experiments in unconventional superconductors. The calculations reveal that vortex itself never works as a scatter causing the QPI pattern but vortex core containing impurity brings about the enhancement of the sign-preserving QPI peaks. Its origin is Andreev bound-states distorted by impurity, and all the measurement findings are consistently explained by the scenario based on the numerical results.

5 pages, 4 figures, published in Phys. Rev. B

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• GPU-based acceleration of free energy calculations in solid state physics
• Reduced-Shifted Conjugate-Gradient Method for a Green's Function: Efficient Numerical Approach in a Nano-structured Superconductor
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Theory of Mixed-State Effect on Quasiparticle Interference in Iron-based Superconductors
• Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex