Quasiparticle Spectrum of Vortices in Cuprates
Irena Knezevic, Zoran Radovic (University of Belgrade, Yugoslavia)

TL;DR
This paper calculates the quasiparticle excitation spectrum of vortices in layered d-wave cuprate superconductors, revealing a large density of states peak in the vortex core due to their 2D and strong coupling characteristics.
Contribution
It provides analytical solutions for vortex quasiparticle spectra in cuprates using both Bogoliubov--de Gennes and Eilenberger equations, adapting the Caroli-de Gennes-Matricon approach.
Findings
Large peak in the density of states in the vortex core
Analytical solutions for quasiparticle spectra in cuprates
Identification of effects due to 2D and strong coupling nature
Abstract
The quasiparticle excitation spectrum of an isolated vortex in a clean layered d-wave superconductor is calculated, using both the Bogoliubov--de Gennes and the quasiclassical Eilenberger equations. Analytical solutions are obtained 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 the "pancake" vortex core is found, caused by the two-dimensional and strong coupling nature of high-temperature superconductivity.
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