Numerically exact study of Weyl superconductivity

Peter Rosenberg; Niraj Aryal; Efstratios Manousakis

doi:10.1103/PhysRevB.100.104522

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Numerically exact study of Weyl superconductivity

Peter Rosenberg, Niraj Aryal, Efstratios Manousakis

DOI 10.1103/PhysRevB.100.104522 · Physical Review B

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Abstract

We study the interplay of interactions and topology in a pseudospin Weyl system, obtained from a minimally modified Hubbard model, using the numerically exact auxiliary-field quantum Monte Carlo method complemented by mean-field theory. We find that the pseudospin plays a key role in the structure of the pairing amplitude. An attractive on-site interaction leads to pairing between quasiparticles carrying opposite spin and opposite topological charge, resulting in the formation of real-spin singlet pairs that are a mixture of pseudospin singlet and pseudospin triplet. Our results provide a detailed characterization of the exotic pairing behavior in this system, and they represent an important step toward a more complete understanding of superconductivity in the context of topological band structures, which will help guide searches for topological superconductivity in real materials and ultracold atoms.