Analytical Formulation of the Local Density of States around a Vortex Core in Unconventional Superconductors

Abstract

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of magnetic fields. Earlier results on the LDOS of d-wave superconductors and NbSe${}_2$ are naturally interpreted within our theory geometrically; the region with high intensity of the LDOS observed in numerical calculations turns out to the enveloping curve of the trajectory of Andreev bound states. We discuss experimental results on YNi${}_2$B${}_2$C within the quasiclassical theory of superconductivity.

arXiv comment13 pages, 16 figures

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• Sparse modeling approach for quasiclassical theory of superconductivity
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• Phase-Sensitive Flux-Flow resistivity in Unconventional Superconductors
• Impurity Effect on the Local Density of States around a Vortex in Noncentrosymmetric Superconductors
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