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PreprintCC BY 4.0arXiv

Slave-boson Formalism for Superconducting Pairing at Strong Coupling

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 RPA-type pairing transparency, providing a scalable route to modeling multi-orbital superconductivity at strong coupling.

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BibTeX
@misc{mazumdar2026slaveboson,
  title = {{Slave-boson Formalism for Superconducting Pairing at Strong Coupling}},
  author = {Sarbajit Mazumdar and Jonas Issing and Jannis Seufert and David Riegler and Peter Wölfle and Ronny Thomale and Michael Klett},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.26233},
  eprint = {2605.26233},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.26233},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Slave-boson Formalism for Superconducting Pairing at Strong Coupling
AU  - Sarbajit Mazumdar
AU  - Jonas Issing
AU  - Jannis Seufert
AU  - David Riegler
AU  - Peter Wölfle
AU  - Ronny Thomale
AU  - Michael Klett
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2605.26233
UR  - https://arxiv.org/abs/2605.26233
AB  - 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 RPA-type pairing transparency, providing a scalable route to modeling multi-orbital superconductivity at strong coupling.
ER  -