Nodal gap detection through polar angle-resolved density of states measurements in uniaxial superconductors

Abstract

We propose a spectroscopic method to identify the nodal gap structure in unconventional superconductors. This method best suits for locating the horizontal line node and for pinpointing the isolated point nodes by measuring polar angle ($\theta$) resolved zero energy density of states $N(\theta )$. This is measured by specific heat or thermal conductivity at low temperatures under a magnetic field. We examine a variety of uniaxially symmetric nodal structure, including point and/or line nodes with linear and quadratic dispersions, by solving Eilenberger equation in vortex states. It is found that (A) the maxima of $N(\theta )$ continuously shift from the anti-nodal to the nodal direction (${\theta }_{\mathrm{n}}$) as a field increases accompanying the oscillation pattern reversal at low and high fields. Furthermore, (B) local minima emerge next to ${\theta }_{\mathrm{n}}$ on both sides except for the case of linear point node. These features are robust and detectable experimentally. Experimental results of $N(\theta )$ performed on several superconductors, UPd${}_2$Al${}_3$, URu${}_2$Si${}_2$, Cu${}_x$Bi${}_2$Se${}_3$, and UPt${}_3$, are examined and commented in light of the present theory.

arXiv comment10 pages, 8 figures, full paper version

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Cited by in corpus (6)

• Orientation of point nodes and nonunitary triplet pairing tuned by the easy-axis magnetization in UTe2
• Searching for gap zeros in Sr2RuO4 via field-angle-dependent specific-heat measurement
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• Gap structure of FeSe determined by field-angle-resolved specific heat measurements
• Fully gapped superconductivity without sign reversal in the topological superconductor PbTaSe${}_2$
• Nodal Superconductivity of UTe${}_2$ Probed by Field-Angle-Resolved Specific Heat on a Crystal with $T_{\mathrm{c}}=2.1$ K