Authors: Pengcheng Hou, Xiansheng Cai, Tao Wang, Youjin Deng, Nikolay V. Prokof’ev, Boris V. Svistunov, Kun Chen

Abstract: We investigate the temperature dependence of the linear response of a generic Fermi liquid to a pair-creating perturbation, referred to as precursory Cooper flow. We show that the form of this dependence allows for an unbiased prediction of the BCS transition temperature, Tc, from data collected at temperatures dramatically higher than Tc. We employ this technique to calculate the phase diagram of superconducting states with multiple orbital channels in a moderately interacting two-dimensional uniform electron gas. Our analysis of the leading correction to the pair susceptibility reveals the possibility of predicting the temperature evolution of pairing correlations and Tc in low-temperature superconductors through the analysis of DC I-V characteristics of tunnel junctions at high temperatures.

Data availability: https://drive.google.com/drive/folders/1pIjPDrc7J7nhdT_7X0TZOMh1rfFVndFT?usp=drive_link

Code availability: https://github.com/numericalEFT/ElectronGas.jl