2017/12/15 by Tadahiro Miyao, Miyao, Tadahiro
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Magnetism in coordination complexes #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1712.05529
Ver3: Title changed. Improved version
openalex publication_date 2017/12/15 · arxiv created 2019/05/25 · arxiv updated 2019/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a model-independent framework describing stabilities of ferromagnetism in strongly correlated electron systems; Our description relies on the operator theoretic correlation inequalities. Within the new framework, we reinterpret the Marshall-Lieb-Mattis theorem and Lieb\rqs theorem; in addition, from the new perspective, we prove that Lieb\rqs theorem still holds true even if the electron-phonon and electron-photon interactions are taken into account. We also examine the Nagaoka-Thouless theorem and its stabilities. These examples verify the effectiveness of our new viewpoint.