Luttinger surface and exchange splitting induced by ferromagnetic fluctuations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908558478540800 |
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| author | Kitatani, Motoharu Nomura, Yusuke Sakai, Shiro Arita, Ryotaro |
| author_facet | Kitatani, Motoharu Nomura, Yusuke Sakai, Shiro Arita, Ryotaro |
| contents | 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 (D$Γ$A) 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21034 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Luttinger surface and exchange splitting induced by ferromagnetic fluctuations Kitatani, Motoharu Nomura, Yusuke Sakai, Shiro Arita, Ryotaro Strongly Correlated Electrons 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 (D$Γ$A) 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. |
| title | Luttinger surface and exchange splitting induced by ferromagnetic fluctuations |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.21034 |