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Luttinger surface and exchange splitting induced by ferromagnetic fluctuations

Motoharu Kitatani1,2, Yusuke Nomura3,4, Shiro Sakai5,6, and Ryotaro Arita6,7

Phys. Rev. B 114, L111102 – Published 7 August, 2026

DOI: https://doi.org/10.1103/1s81-kbp6

Abstract

Ferromagnetism in the single-orbital Hubbard model, which contains only local Coulomb repulsion and no explicit ferromagnetic exchange interactions, has been extensively studied. However, how the associated fluctuations influence the electronic properties near the transition remains a fundamental issue. Here, by applying the dynamical vertex approximation to single-orbital systems with a partially flat-band dispersion, we demonstrate that finite-correlation-length ferromagnetic fluctuations generate an emergent Luttinger surface and drive a Fermi-surface expansion reminiscent of exchange splitting, even without magnetic order. We further derive an analytical expression that reproduces these effects, clarifying the microscopic origin for fluctuation-driven exchange splitting in correlated electron systems.

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