Precursory Cooper Flow in Ultralow-Temperature Superconductors

Abstract

Superconductivity at low temperature -- observed in lithium and bismuth, as well as in various low-density superconductors -- calls for developing reliable theoretical and experimental tools for predicting ultralow critical temperatures, $T_c$, of Cooper instability in a system demonstrating nothing but normal Fermi liquid behavior in a broad range of temperatures below the Fermi energy, $T_{\mathrm{F}}$. Equally important are controlled predictions of stability in a given Cooper channel. We identify such a protocol within the paradigm of precursory Cooper flow -- a universal ansatz describing logarithmically slow temperature evolution of the linear response of the normal state to the pair-creating perturbation. Applying this framework to the two-dimensional uniform electron gas, we reveal a series of exotic superconducting states, pushing controlled theoretical predictions of $T_c$ to the unprecedentedly low scale of $10^{-100}{T}_{\mathrm{F}}$.

References in corpus (7)

• Correlated insulators, semimetals, and superconductivity in twisted trilayer graphene
• Discrete Lehmann representation of imaginary time Green's functions
• Critical Temperature and Energy Gap for the BCS Equation
• libdlr: Efficient imaginary time calculations using the discrete Lehmann representation
• Superconductivity in the Uniform Electron Gas: Irrelevance of Kohn-Luttinger Mechanism
• Observation of two distinct pairs fluctuation lifetimes and supercurrents in the pseudogap regime of cuprate junctions
• Origin of the Coulomb Pseudopotential

Cited by in corpus (1)

• cppdlr: Imaginary time calculations using the discrete Lehmann representation