A reformulation of tight-binding models that shifts orbital symmetry into Bloch phase factors is applied to predict coexisting s± and s_z2 pairing in Lu2Fe3Si5, but the framework reduces to standard tight-binding and leaves Wannier obstructions unresolved.
Nonunitary Superconductivity in Complex Quantum Materials
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abstract
We present a comprehensive discussion on nonunitary superconductivity in complex quantum materials. Starting with a brief review of the notion of nonunitary superconductivity, we discuss its spectral signatures in simple models with only the spin as an internal degree of freedom. In complex materials with multiple internal degrees of freedom, there are many more possibilities for the development of nonunitary order parameters. We provide examples focusing on d-electron systems with two orbitals, applicable to a variety of materials. We discuss the consequences for the superconducting spectra, highlighting that gap openings of band crossings at finite energies can be attributed to a nonunitary order parameter if this is associated with a finite superconducting fitness matrix $\hat{F}_C(\mathbf{k})$. We speculate that nonunitary superconductivity in complex quantum materials is in fact very common and can be associated with multiple cases of time-reversal symmetry breaking superconductors.
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Phase-Space Approach to Wannier Pairing and Bogoliubov Orbitals in Square-Octagon Lattices
A reformulation of tight-binding models that shifts orbital symmetry into Bloch phase factors is applied to predict coexisting s± and s_z2 pairing in Lu2Fe3Si5, but the framework reduces to standard tight-binding and leaves Wannier obstructions unresolved.