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    Slave-boson formalism for superconducting pairing at strong coupling

    Sarbajit Mazumdar1, Jonas Issing1, Jannis Seufert1, David Riegler2,1, Peter Wölfle2, Ronny Thomale1, and Michael Klett1,*

    • *Contact author: michael.klett@uni-wuerzburg.de

    Phys. Rev. B 114, 194511 – Published 16 October, 2026

    DOI: https://doi.org/10.1103/4742-x3lk

    Abstract

    We study the emergence of superconductivity in the one-band Hubbard model using the spin-rotation-invariant Kotliar-Ruckenstein slave-boson (SB) approach. Motivated by its intrinsically renormalized mean-field ground state, we construct an effective pairing vertex from dynamical fluctuations about the saddle point. Solving the anisotropic, frequency-dependent gap equation on the square lattice, we map the pairing instabilities across doping, interaction, temperature, and real-frequency gap structure that qualitatively match experimental cuprate observations. This framework merges strong-correlation SB-type renormalizations with random-phase-approximation-type pairing transparency, providing a scalable route to modeling multiorbital superconductivity at strong coupling.

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