From Non-Fermi Liquids to Superconductivity: Analytical Insights into Superconducting Phases

We present new analytical results for an exactly solvable interacting fermionic model whose pairing interactions entangle states at momenta k and -k, as introduced in arXiv:2510.10684.  We emphasize the exact single-particle Green’s function in the absence of pairing terms and identify the onset of superconductivity by analyzing the pairing instability of a non Fermi liquid normal state. Furthermore, we present key features of the exact superconducting ground state in specific regions of parameter space in one spatial dimension. This analysis reveals multiple distinct superconducting regimes whose properties are determined by the nature of the underlying normal state. These results provide an analytically tractable framework for studying pairing phenomena in systems beyond the conventional Landau–Fermi liquid paradigm.