Unconventional superconductivity in the extended Hubbard model: Weak-coupling renormalization group

Sebastian Wolf; Thomas L. Schmidt; Stephan Rachel

doi:10.1103/PhysRevB.98.174515

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Unconventional superconductivity in the extended Hubbard model: Weak-coupling renormalization group

Sebastian Wolf, Thomas L. Schmidt, Stephan Rachel

DOI 10.1103/PhysRevB.98.174515 · Physical Review B

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Abstract

We employ the weak-coupling renormalization group approach to study unconventional superconducting phases emerging in the extended, repulsive Hubbard model on paradigmatic two-dimensional lattices. Repulsive interactions usually lead to higher-angular momentum Cooper pairing. By considering not only longer-ranged hoppings, but also nonlocal electron-electron interactions, we are able to find superconducting solutions for all irreducible representations on the square and hexagonal lattices, including extended regions of chiral topological superconductivity. For the square, triangular and honeycomb lattices, we provide detailed superconducting phase diagrams as well as the coupling strengths which quantify the corresponding critical temperatures depending on the band-structure parameters, band filling, and interaction parameters. We discuss the sensitivity of the method with respect to the numerical resolution of the integration grid and the patching scheme. Eventually, we show how to efficiently reach a high numerical accuracy.