Nematicity-enhanced superconductivity in systems with a non-Fermi liquid behavior

Abstract

We explore the interplay between nematicity~(spontaneous breaking of the sixfold rotational symmetry), superconductivity, and non-Fermi liquid behavior in partially flat-band models on the triangular lattice. A key result is that the nematicity (Pomeranchuk instability), which is driven by many-body effect and stronger in flat-band systems, enhances superconducting transition temperature in a systematic manner on the $T_{\mathrm{c}}$ dome. There, a $s_{x^2+y^2}-d_{x^2-y^2}-d_{xy}$-wave symmetry, in place of the conventional $d_{x^2-y^2}$-wave, governs the nematicity-enhanced pairing with a sharp rise in the $T_{\mathrm{c}}$ dome on the filling axis. When the sixfold symmetry is spontaneously broken, the pairing becomes more compact in real space than in the case when the symmetry is enforced. These are accompanied by a non-Fermi character of electrons in the partially flat bands with many-body interactions.

6+18 pages, 5+26 figures

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• Theoretical study of spin-fluctuation-mediated superconductivity in two-dimensional Hubbard models with an incipient flat band
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Stoner ferromagnetism in a momentum-confined interacting 2D electron gas
• Magnetic fluctuation and dominant superconducting pairing symmetry near the tunable Van Hove singularity