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Thermal Stability of the Nagaoka–Thouless Theorems

We prove that the Aizenman–Lieb theorem on ferromagnetism in the Hubbard model holds true even if the electron–phonon interactions and the electron–photon interactions are taken into account. Our proof is based on path integral representations of the partition functions.

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Bibliographic Details
Published in:Annales Henri Poincaré 2020-12, Vol.21 (12), p.4027-4072
Main Author: Miyao, Tadahiro
Format: Article
Language:English
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Summary:We prove that the Aizenman–Lieb theorem on ferromagnetism in the Hubbard model holds true even if the electron–phonon interactions and the electron–photon interactions are taken into account. Our proof is based on path integral representations of the partition functions.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-020-00968-4