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Thermal stability of the Nagaoka-Thouless theorems

Mathematical Physics 2020-12-02 v4 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1910.06551,
  title  = {Thermal stability of the Nagaoka-Thouless theorems},
  author = {Tadahiro Miyao},
  journal= {arXiv preprint arXiv:1910.06551},
  year   = {2020}
}

Comments

Improved version, 44 pages