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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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Published in: | Annales Henri Poincaré 2020-12, Vol.21 (12), p.4027-4072 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 1424-0637 1424-0661 |
DOI: | 10.1007/s00023-020-00968-4 |