Bogoliubov Fermi surfaces from pairing of emergent $j=3/2$ fermions on the pyrochlore lattice

Abstract

We examine the appearance of superconductivity in the strong-coupling limit of the Hubbard model on the pyrochlore lattice. We focus upon the limit of half filling, where the normal-state band structure realizes a $j=3/2$ semimetal. Introducing doping, we show that the pairing is favored in a $J=2$ quintet $E_g$ state. The attractive interaction in this channel relies on the fact that $E_g$ pairing on the pyrochlore lattice avoids the detrimental on-site repulsion. Our calculations show that a time-reversal symmetry-breaking superconducting phase is favored, which displays Bogoliubov Fermi surfaces.

arXiv comment16 pages, 4 figures

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• Spin Susceptibility of a J=3/2 Superconductor
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• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field
• Thermoelectric effect in a superconductor with Bogoliubov Fermi surfaces
• Mechanism for Nodal Topological Superconductivity on PtBi${}_2$ Surface