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.
Pairing of j=3/2 fermions in half-Heusler superconductors
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abstract
We theoretically consider the superconductivity of the topological half-Heusler semimetals YPtBi and LuPtBi. We show that pairing occurs between j=3/2 fermion states, which leads to qualitative differences from the conventional theory of pairing between j=1/2 states. In particular, this permits Cooper pairs with quintet or septet total angular momentum, in addition to the usual singlet and triplet states. Purely on-site interactions can generate s-wave quintet time-reversal symmetry-breaking states with topologically nontrivial point or line nodes. These local s-wave quintet pairs reveal themselves as d-wave states in momentum space. Furthermore, due to the broken inversion symmetry in these materials, the s-wave singlet state can mix with a p-wave septet state, again with topologically-stable line nodes. Our analysis lays the foundation for understanding the unconventional superconductivity of the half-Heuslers.
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cond-mat.supr-con 1years
2024 1verdicts
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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.