Weak-coupling superconductivity in an anisotropic three-dimensional repulsive Hubbard model

Henrik Schou Røising; Felix Flicker; Thomas Scaffidi; Steven H. Simon

doi:10.1103/PhysRevB.98.224515

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Weak-coupling superconductivity in an anisotropic three-dimensional repulsive Hubbard model

Henrik Schou Røising, Felix Flicker, Thomas Scaffidi, Steven H. Simon

DOI 10.1103/PhysRevB.98.224515 · Physical Review B

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Abstract

We study a three-dimensional single-band repulsive Hubbard model at weak coupling. We establish the superconducting phase diagram in the parameter space of the chemical potential and the out-of-plane hopping strength. The model continuously connects the Hubbard model in two and three dimensions. We confirm previously established results in these limits, and identify a rich structure of competing order parameters in between. Specifically, we find five types of p- and d-wave orders. In several regions of the phase diagram, even when the Fermi surface is a corrugated cylinder, the ground state is a time-reversal-symmetry-breaking superconductor with nodes, i.e., a Weyl superconductor.

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Formula	Reported Tc (K)	Pressure (GPa)	Type
Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
UPt3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
SrPtAs Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown