Quasiparticle Excitation Spectrum of an Isolated Vortex in a High--Temperature Superconductor

TL;DR

This paper calculates the quasiparticle energy spectrum of an isolated vortex in a high-temperature superconductor, revealing a large density of states peak due to two-dimensionality and strong coupling effects.

Contribution

It introduces a perturbative solution of the Bogoliubov--de Gennes equations tailored for layered d-wave superconductors, adapting the Caroli-de Gennes-Matricon approach.

Findings

Large peak in the density of states in a pancake vortex

Enhanced understanding of low-lying excitations in cuprates

Implications for vortex electronic structure in high-Tc superconductors

Abstract

The quasiparticle energy spectrum of an isolated vortex in a clean layered d-wave superconductor is calculated. The Bogoliubov--de Gennes equations are solved perturbatively, within the model of step-variation of the gap function, adjusting the Caroli, de Gennes and Matricon approach for low-lying excitations in cuprates. A large peak in the density of states in a "pancake" vortex is found, as a consequence of two-dimensionality and strong coupling.