Cooper instability in the Jellium model: Implicit renormalization approach

ORAL

Abstract

We study superconducting properties of the jellium model by the implicit renormalization approach, which enables us to reliably determine the exponentially low transition temperatures in s-, p-, and d-channels. Existence of superconducting states at r_s>2.0 within the RPA approximation indicates that dynamic screening may lead to an effective attractive Cooper-channel coupling, in disagreement with the notion of repulsive pseudopotential. Going beyond RPA, we consider an effective KO interaction, as well as the effects of higher-order diagrams accounting for renormalization of the electron self-energy and the vertex function with the projection renormalization method.

*The work by NP and BS was supported by the National Science Foundation under grant DMR-1720465.
The work by XC was supported by the MURI Program "Advanced quantum materials -- a new frontier for ultracold atoms" from AFOSR.
The work by TW and KC was supported by the Simons Collaboration on the Many Electron Problem.

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Presenters

  • Xiansheng Cai

    • University of Massachusetts Amherst

Authors

  • Xiansheng Cai

    • University of Massachusetts Amherst

  • Tao Wang

    • University of Massachusetts Amherst

  • Kun Chen

    • Simons Foundation
    • Department of Physics and Astronomy, Rutgers, The State University of New Jersey
    • Flatiron Institute, Center for Computational Quantum Physics
    • Center for Computational Quantum Physics, Flatiron Institute

  • Boris Svistunov

    • University of Massachusetts Amherst

  • Nikolai Prokof'ev

    • University of Massachusetts Amherst