Anomalous thermodynamic power laws near topological transitions in nodal superconductors

Abstract

Unconventional superconductors are most frequently identified by the observation of power-law behaviour on low-temperature thermodynamic or transport properties, such as specific heat. Here we show that, in addition to the usual point and line nodes, a much wider class of different nodal types can occur. These new types of nodes typically occur when there are transitions between different types of gap node topology, for example when point or line nodes first appear as a function of some physical parameter. We identify anomalous, non-integer thermodynamic power laws associated with these new nodal types, and give physical examples of superconductors in which they might be observed experimentally, including the noncentrosymmetric superconductor Li${}_2$Pd${}_{3-x}$Pt${}_x$B.

8 pages, 5 figures, additional plots, references and discussion

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Cited by in corpus (16)

• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Recent progress on superconductors with time-reversal symmetry breaking
• Broken time-reversal symmetry probed by muon spin relaxation in the caged type superconductor Lu${}_5$Rh${}_6$Sn${}_{18}$
• Superconducting and normal-state properties of the noncentrosymmetric superconductor Re6Zr
• Experimental consequences of Bogoliubov Fermi surfaces
• Manipulation of gap nodes by uniaxial strain in iron-based superconductors
• Unconventional superconductivity in the cage type compound Sc${}_5$Rh${}_6$Sn${}_{18}$
• Gap Anisotropy in Multiband Superconductors Based on Multiple Scattering Theory
• Tuning the Parity Mixing of Singlet-Septet Pairing in a Half-Heusler Superconductor
• Nematicity from mixed S_{+-} + d_{x^2-y^2} states in iron-based superconductors
• Multigap Superconductivity in Chiral Noncentrosymmetric TaRh${}_2$B${}_2$
• Displacement and annihilation of Dirac gap-nodes in d-wave iron-based superconductors
• Superconductivity and the upper critical field in the chiral noncentrosymmetric superconductor NbRh${}_2$B${}_2$
• Phenomenological theory of the superconducting state inside the hidden-order phase of URu${}_2$Si${}_2$
• Low-temperature scaling laws in unconventional flat-band superconductors
• Can Topological Transitions be Exploited to Engineer Intrinsically Quench-resistant Wires?