English

Exact theory of superconductivity in a strongly correlated Fermi-arc model

Superconductivity 2026-04-03 v2 Strongly Correlated Electrons

Abstract

Because the normal state of underdoped cuprate superconductors is an enigmatic Fermi-arc metal, it is valuable to analyze an exactly solvable model that exhibits both Fermi arcs and dd-wave superconductivity. Here, we focus on a recently proposed solvable model in which the emergence of Fermi arcs is especially transparent. Upon incorporating a dd-wave pairing interaction, the model produces an asymptotically exact solution for the superconducting transition temperature TcT_c that traces out a superconductivity dome as a function of hole doping, in qualitative agreement with experimental observations in cuprates. Crucially, we show analytically that the Fermi arcs generate an additional many-body effect that suppresses TcT_c beyond the simple reduction expected from a shrinking Fermi surface. The many-body nature of the Fermi arcs further introduces the gap-to-TcT_c ratio greatly surpassing the mean-field limit. These findings provide an analytic benchmark for understanding how Fermi-arc physics competes with dd-wave superconductivity in high-TcT_c superconductors.

Keywords

Cite

@article{arxiv.2603.24977,
  title  = {Exact theory of superconductivity in a strongly correlated Fermi-arc model},
  author = {Xianliang Zhou and Fei Yang and Miao Liu and Yin Shi and Sheng Meng},
  journal= {arXiv preprint arXiv:2603.24977},
  year   = {2026}
}

Comments

5 pages, 4 figures