Abstract
A new theoretical framework for classifying superconducting nodes---key observational markers of how the constituent electrons pair up---can offer deeper understanding into unconventional superconductivity.
Highlights
While it is often difficult to determine the symmetry property of Cooper pairs [1–26], superconducting nodes—geometry of gapless regions in the Bogoliubov quasiparticle spectrum— are key ingredients to identify pairing symmetries
The interplay between superconducting nodes and topology has been actively investigated, and intensive research in the past decade has revealed various intriguing nodes out of the scope of the pioneering work to classify superconducting order parameters based on the point groups
While most previous studies are based on the homotopy theory, our theory is on the basis of the symmetry-based analysis of band topology, which enables systematic diagnoses of nodes in all nonmagnetic and magnetic space groups
Summary
While it is often difficult to determine the symmetry property of Cooper pairs (called pairing symmetry in this work) [1–26], superconducting nodes—geometry of gapless regions in the Bogoliubov quasiparticle spectrum— are key ingredients to identify pairing symmetries. Since the order parameters are described by basis functions of the irreducible representations in these theories, the intersection between Fermi surfaces and regions where the basis functions vanish is understood as superconducting nodes. A comprehensive theory to classify and predict superconducting nodes for arbitrary symmetry classes has long been awaited To achieve this goal, we need to answer the following two questions:. The other one is that our framework leads to an efficient algorithm to detect and diagnose nodes in realistic materials, requiring only pairing symmetry and information of irreducible representations of Bloch wave functions at high-symmetry momenta.
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